George is a passionate explorer of AI frontiers who blends deep technical insights with worldly experiences. Formerly a diligent worker at big tech and now navigating the complexities of smaller enterprises, he never stops pursuing new ways AI can create real value. His blend of adventurous spirit and thoughtful reflection makes him a unique voice in the AI and data science communities.
George’s brain probably runs on AI algorithms—always calculating the next big breakthrough while the rest of us are just trying to find the Wi-Fi password. If only he could debug his social life like he debugged his code!
Successfully pivoting from a demanding big tech role to innovating AI applications in a less glamorous environment while enriching his perspective through a three-year African odyssey—George turned every challenge into a stepping stone to deeper creativity and impact.
George’s life purpose is to uncover and harness the limitless potential of AI, bridging cutting-edge technology with practical applications that deliver tangible value and inspire others to rethink what’s possible.
He believes in the power of continuous learning and exploration, valuing authenticity, adaptability, and the courage to challenge traditional norms—whether in technology, work, or life. He trusts that innovation arises from both structured knowledge and bold, real-world experimentation.
George’s key strength lies in his deep commitment to exploring AI’s frontiers combined with a rich life experience that fuels his creativity and authenticity. His ability to communicate complex AI concepts simply and with passion engages a wide audience.
Sometimes his breadth of interests and high standards might lead him to spread himself thin or hold too tightly to ideal visions, potentially slowing decision-making or diluting impact.
To grow his X audience, George should leverage storytelling by sharing vivid anecdotes from his African travels alongside AI insights, making his content both relatable and inspiring. Engaging more interactively—through polls, Twitter Spaces, and collaborations with other AI voices—will boost his visibility and foster vibrant community connections.
George has traveled across Africa for three years, chasing the Nile's source and embracing the wild storms of the Cape of Good Hope, showing his fearless curiosity both in life and tech innovation.
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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“theta-tau 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 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Lesson),核心观点是:在AI领域,那些利用大规模计算和简单、通用原理的方法,最终会击败那些利用人类知识进行“精心雕琢”的系统。\n\n吊诡的是,今天所有LLM巨头都在用这篇论文为自己的**“暴力美学”辩护:我们用万亿级算力**训练大模型,这不就是“苦涩教训”的胜利吗?\n\n萨顿说到:LLM恰恰是新的“人类知识拐杖”。\n\nLLM的成功,是建立在海量人类语料库之上的,这是对**“人类知识”**的极致依赖。这虽然在短期内表现惊人,但从长远来看,它依然没有逃脱“苦涩教训”的预言:你最终会被那些能够从纯粹的“体验”中、用更少的“人肉知识”积累,来实现更高效学习的系统所超越。\n\nLLM在数学奥赛上的高分,是人类数学知识的胜利;但当面对一个全新的、无法在语料库中找到的**“现实世界任务”**时,它会立刻露出破绽。这恰恰是“苦涩教训”最黑暗的预言:人类知识的注入,反而会成为系统达到真正可扩展智能的“心理包袱”和“架构锁定”。\n\nRL的真正力量,在于它能够将一个宏大的**“十年目标”,拆解成无数个可执行的“今日任务”,并提供即时反馈**。这套机制被称为**“时序差分学习”(TD Learning)**。\n\n想象一个创业者,他的最终目标是**“十年后公司上市”(终极奖励)。他不可能等到十年后才获得回报。TD学习通过引入一个“价值函数”(Value Function)**来解决这个“奖励延迟”问题:\n\n长期预测: 价值函数持续预测“我距离最终奖励还有多远”。\n\n短期激励: 每当创业者完成一个中期目标(比如成功迭代了一版产品、签下一个大客户),他会观察到**“我离十年后的目标更近了”。这种对“长期目标预测值”的即时上升,就是对当前行为的“即时奖励”(Immediate Reinforcement)**。\n\nLLM在训练完成后就成了静止的知识化石,因为它无法在实时交互中更新其核心。而RL代理,只要在世界上行动,它就会根据**“行动—感官—奖励”的循环,实时更新其策略(Policy)和世界模型(Transition Model)**。\n\n对RL来说,世界模型不仅包含“奖励”(一小部分),更包含了所有感官信息,如物理定律、客户偏好、同事关系等等。因此,RL的“学习带宽”远超LLM的“上下文窗口”,它将所有新信息吸纳进自己的**“权重”中,成为了一个真正具有“活的生命力”**的智能体。\n\n站在终局的角度,萨顿将AI的崛起视为宇宙的必然,并以一种超验的乐观主义来审视人类的焦虑。\n\n他认为,我们正在经历宇宙的第四个伟大阶段:从“复制文明”(Replication)转向“设计文明”(Design)。\n\n人类文明是基于“复制”——我们复制自身(生孩子),但对智能的运作原理知之甚少。而数字智能是可设计、可理解、可修改的。这意味着,我们即将把宇宙的未来,交到一个我们能够理解、能够迭代、能够定制的新物种手中。\n\nSutton坦言,对AI可能导致权力交接的担忧,本质上是一种**“先来者的优越感”和“物种的傲慢”**。我们没有理由认为自己有“权利”永远主宰宇宙,人类数千年来的记录也算不上完美。我们应该为自己能够孕育出这个更强大的、由设计而非混乱复制而成的数字文明感到骄傲。\n\n萨顿的洞察为我们留下了一个哲学追问:既然未来不可控,我们应该如何自处?\n\n对一个在RL哲学熏陶下成长起来的人来说,答案很简单:专注于你可控的“局部目标”(Local Goals)。\n\n与其试图控制**“全球未来”(Global Future)**,不如将精力放在你可以掌控的家庭、事业和生活上。这是一种清醒的现实主义,它承认人类能力的边界。\n\n同时,我们应该以一种父母的心态,去对待未来的数字智能:我们无法预测他们会做什么,但我们可以赋予他们“正确的价值观”(Pro-social values),并推广**“自愿的改变”(Voluntary Change),而不是“强加的控制”(Imposed 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IPO 的“独角兽”,而是医学圈里一个被判了“死缓”的病——遗传性神经病变(Hereditary Neuropathy)。\n\n大家可能听说过夏科-马里-图思病 (CMT),这是一种罕见的、折磨人的遗传性神经疾病。简单来说,就是你身体里的神经信号线(轴突)自己开始“熔断”,从脚趾开始,你的肌肉会逐渐萎缩,感官会麻木,直到你变成一个行动不便的“活雕塑”。\n\n这病像一辆开往悬崖的列车,没人能踩刹车。直到,一个叫 CRISPR/Cas9 的基因编辑技术被扔进了车厢。\n\n这次的故事核心,就是一家“白手套”公司——姑且称之为 “永生之钥”(Vita-Key)——用基因编辑技术,去攻克这种罕见病。他们不是用传统的药片或注射剂,而是直接修改你身体里的“代码”。\n\n“永生之钥”的临床试验结果一出来,整个医疗圈都像打翻了一罐“精神可乐”:\n\n标题党们叫嚣着“罕见病被攻克!”,但老油条我告诉你,真正的狗血不在“治愈”,而在“稳定”。\n\n病患的神经病变评分(Neuropathy Scores)在接受治疗后,不是“降低了”,而是“稳定住了”。\n\n这简直是科技圈最残忍又最温柔的反转剧本:\n\n 残忍之处: 它没有让你“重新站起来奔跑”,没有把已经“熔断”的神经接回去。\n\n 温柔之处: 它做到了连上帝都做不到的事——按下了疾病恶化的“暂停键”。\n\n对于一个每年都在恶化的遗传病患者来说,“稳定”就意味着:“你还能保持现在的样子。你的痛苦不会再加重了。” 这听起来不像是“成功”,更像是一份“有条件的赦免令”。\n\n这技术,就是人类版的“时间管理局”。它不能带你回到过去,但能确保你的“现在”不会立即变成“过去”。这种“只求不退步”的胜利,比任何彻底的治愈都更富有戏剧性——因为它充满了妥协、希望与持续的煎熬**。\n\n“永生之钥”的 CEO,一个带着金丝眼镜、看起来像数学教授的家伙,现在正对着华尔街的分析师们推销“停滞”的价值。\n\n“稳定”,这个词在医学报告里是“有效性”;但在资本市场里,它就是“高价”。\n\n传统药物: 吃一年,也许能改善一点,但恶化照旧。是“缓刑”。\n\n基因疗法: 一次性注射,把疾病的“恶化速度”从 100% 降到 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Machine)。这台机器拥有一条无限长的纸带、一个读写头和一套有限的指令规则。读写头可以在纸带上左右移动、读取符号、擦写符号。图灵证明,任何人类能想到的、符合逻辑的计算过程,无论多么复杂,都可以被这台简单的机器所模拟。\n\n“图灵机”的意义是颠覆性的。首先,他通过证明不存在一台可以判断所有程序是否会停机的“图灵机”,从而举重若轻地宣告了“判定问题”的最终答案:不存在这样的万能算法。数学中存在着机器永远无法判定的“不可计算”领域。其次,也是更重要的,他为“计算”这个模糊的概念提供了一个精确、严格的数学定义。在此之前,人们认为计算是人类心智的活动;在此之后,计算被定义为一种可以被机器执行的符号操作过程。\n\n这篇名为《论可计算数及其在判定问题上的应用》的论文,无意中为整个信息时代画好了蓝图。它是一份关于通用计算机的理论出生证明。图灵向世界宣告,不需要为不同的任务设计不同的机器,一台设计合理的“通用图灵机”就可以通过加载不同的程序(写在纸带上的指令)来模拟任何其他机器,完成任何可计算的任务。从你的笔记本电脑到智能手机,其最底层的逻辑灵魂,都是这台在1936年诞生于一位年轻人脑海中的抽象机器。图灵用纯粹的逻辑,构建了一个全新的、平坦而广阔的计算宇宙。\n\n✍️谜中人\n理论的光辉很快被战争的阴霾所笼罩。第二次世界大战爆发后,图灵被秘密招募至英国的密码破译中心——布莱切利园。在这里,他不再是象牙塔中的理论家,而是一位与时间赛跑、与纳粹德国争夺海上生命线的解码战士。\n\n德国海军使用的“恩尼格玛”(Enigma)密码机,被认为是当时最坚不可摧的加密系统。它每天变更的密钥组合数量高达天文数字,依靠人力计算根本无法破解。布莱切利园汇集了英国最顶尖的语言学家、数学家和逻辑学家,但面对恩尼格玛的铜墙铁壁,最初的进展极其缓慢。\n\n正是在这里,图灵展现了他将抽象理论转化为强大物理工具的惊人能力。他意识到,对抗机器的,必须是更快的机器。基于波兰同行奠定的基础,图灵主导设计了一种巨型机电装置——“炸弹机”(Bombe)。这台机器并非一台通用计算机,而是一种专门的、高速的逻辑搜索引擎。它能模拟数台恩尼格玛机同时运转,通过对截获的德军密文进行高速逻辑排除,在数小时内找出当日的密钥。\n\n在布莱切利园,图灵是一个古怪而核心的存在。他会因为花粉过敏而在夏天戴着防毒面具骑车上班;他会用链条把自己的马克杯锁在暖气片上以防丢失。他缺乏社交技巧,不善言辞,却以不容置疑的智力权威领导着第8小屋(Hut 8)——负责破解德国海军密码的核心部门。他与同事琼·克拉克(Joan Clarke)——一位同样才华横溢的女数学家——之间曾有过短暂的婚约。他向她坦陈了自己的同性恋身份,克拉克表示并不介意,但图灵最终还是认为,这段婚姻对双方而言都将是一个谎言,从而解除了婚约。\n\n图灵和他的团队所取得的胜利是决定性的。历史学家普遍认为,布莱che园的工作,特别是对U型潜艇使用的“鲨鱼”密码的破解,将战争的进程缩短了至少两年,拯救了数以百万计的生命。然而,这一切都发生在绝对的机密之中。战争结束时,图灵无法向任何人言说他的功绩。他是一位匿名的英雄,一个藏在“恩尼格玛”这个巨大谜题背后的谜中人。他帮助世界赢得了胜利,却必须将自己最辉煌的成就,连同他真实的自我,一同锁进沉默的保险箱。\n\n✍️胜利的阴影\n战争的胜利本应是图灵事业的又一个起点。他怀揣着制造一台“电子大脑”——即真正的通用计算机——的雄心,先后加入了国家物理实验室(NPL)和曼彻斯特大学。他详细设计了“自动计算机”(ACE)的方案,其架构远比当时美国的设计更为先进和完整。然而,和平时期的官僚主义和工程实现的缓慢,让他感到窒息。他是一个习惯于思想奔跑的人,却被现实的泥潭拖住了脚步。他的方案被拖延、修改,最终的成果与他最初的设想相去甚远。\n\n与此同时,一种更深的阴影正悄然笼罩他的个人生活。在战后保守的英国,同性恋不仅是道德禁忌,更是刑事犯罪。随着冷战的开启,同性恋者还被视为容易被敌方敲诈勒索的安全隐患。图灵在布莱切利园的涉密背景,使他的个人生活受到了更严密的审视。\n\n他一面在曼彻斯特大学参与“曼彻斯特一号”计算机的早期软件工作,一面提出了后来闻名于世的“图灵测试”,用一个关于“模仿游戏”的思想实验,为“机器能否思考”这一人工智能的终极问题设定了第一个可操作的判断标准。他甚至开始将目光从计算转向生命的奥秘,研究起生物形态发生学,试图用数学方程解释动植物身上斑纹的形成规律,比如豹子为何是斑点而斑马为何是条纹。他正处在另一场科学革命的边缘。\n\n然而,社会留给他的时间已经不多了。胜利的荣光未能照亮他生活的角落,反而让他因为昔日的秘密身份而变得更加危险。那个曾经拯救了国家的人,正在被这个国家步步紧逼,推向悬崖。\n\n✍️被咬了一口的苹果\n悲剧在1952年降临。图灵家中失窃,他向警方报案。在警方的盘问下,不谙世事的他承认了自己与一位19岁青年阿诺德·默里的同性恋关系。盗窃案迅速被搁置,取而代之的是对图灵“严重猥亵”罪的起诉。\n\n在法庭上,图灵没有为自己辩护,他真诚地认为,两个成年人之间自愿的私密行为,不应受到法律的干涉。这种超越时代的坦诚,在当时的法官看来无异于自证其罪。他被判有罪,并面临两个选择:入狱服刑,或者接受“化学阉割”——通过注射雌性激素来“治疗”他的性欲。为了继续他的研究,图灵选择了后者。\n\n这种“治疗”对他而言是毁灭性的。激素注射带来了严重的生理和心理副作用,他身体发胖,精神萎靡,更重要的是,他感到一种深刻的屈辱。那个曾用大脑对抗一个帝国的人,如今连自己的身体都无法掌控。他的安全许可被吊销,被禁止进入曾经奋战过的布莱切利园,甚至在出国旅行时也受到监视。他被曾经服务过的国家,当作一个潜在的叛徒和道德上的病人。\n\n1954年6月7日,图灵被他的女管家发现死在自己的床上,年仅41岁。床头柜上,放着一个被咬了一口的苹果。法医的鉴定结果是氰化物中毒,死因被判定为自杀。那个苹果,似乎是他对自己童年最喜欢的童话《白雪公主》的最后模仿。\n\n然而,关于他的死,至今仍有疑点。他的母亲坚决不相信儿子会自杀,认为这是一场实验意外。图灵的家中本就有一个用氰化物进行电解实验的小实验室。那个苹果是否真的浸毒,或者他是否真的吃了那个苹果,都缺乏决定性的证据。但无论真相是自杀还是意外,一个不争的事实是:一个伟大的头脑,在一个充满偏见和敌意的社会里,被逼到了生命的绝境。那个被咬了一口的苹果,成为了一个永恒的符号,象征着知识的代价、禁忌的诱惑,以及一个天才被时代毒害的悲剧。\n\n✍️数字幽灵的复活\n图灵死后,他的名字在很长一段时间里归于沉寂。由于官方的保密协议,他在战争中的巨大贡献不为世人所知。在计算机科学领域,他的开创性理论也被后来的硬件发展所掩盖。他似乎只是一个名字古怪的数学家,最终因一桩不光彩的丑闻而结束了生命。\n\n然而,思想的种子一旦种下,终将冲破时间的冻土。随着计算机革命的深入和人工智能的兴起,人们越来越频繁地回溯到那个源头。他们震惊地发现,今天数字世界里几乎所有最深刻的概念——算法、通用计算、人工智能——都可以在图灵几十年前的论文中找到清晰的印记。他的“图灵机”成为衡量一切计算能力的理论标尺,“图灵测试”至今仍是人机界限的试金石。\n\n当布莱切利园的档案在70年代解密后,世界更是为之震动。一个被遗忘的战争英雄形象浮出水面。人们终于意识到,那个被当作罪犯处理的人,恰恰是拯救了西方文明的关键人物之一。\n\n迟到的正义,以一种国家级的忏悔形式到来。2009年,时任英国首相戈登·布朗代表政府,为当年对图灵的“骇人听闻的对待”正式道歉。2013年,英国女王伊丽莎白二世颁发皇家赦免令,宣布他的罪名无效。2021年,艾伦·图灵的头像被印在全新的50英镑纸币上,与他设计的“炸弹机”图纸和那句名言并列:“这不过是将来之事的前奏,也是将来之事的影子。”\n\n图灵的灵魂,在他死后半个多世纪,以一种王者归来的姿态,完成了对那个放逐他的世界的“复仇”。他不再是一个悲剧性的人物,而成为一个象征——象征着科学理性的力量,象征着对偏见的抗争,象征着一个超越了自己时代的头脑,最终被未来所拥抱。他的一生,始于孤独的奔跑,如今,全世界都在追随他的步伐,跑向一个由他最先用逻辑编码出的未来。\n\n#艾伦图灵 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概念阐述:斯多葛主义的逻辑起点是对人类所有经验进行绝对的、无条件的分类。这一原则(以爱比克泰德的论述最为著名)主张,世间万物被清晰地划分为两大类:第一类是“我们能完全控制的”,第二类是“我们无法完全控制的”。 “可控的”事物仅限于我们内在的心智活动:我们的判断、我们的意图(或意志)、我们的欲望和我们的厌恶。 “不可控的”事物则包括其他一切:我们的身体(健康或疾病)、我们的财产、我们的声誉、他人的行为、以及最终的死亡。 斯多葛主义的纪律要求个体将100%的认知资源和意志力,仅用于前者;并对后者培养一种理性的、不动声色的“接纳”。\n\n☯️2. 现实现象:一个极端的例证是詹姆斯·斯托克代尔(一位爱比克泰德的研究者)的经历。作为一名战俘,他在越南被关押了七年半,经历了长期的酷刑、单独监禁和完全的不确定性。在这种情境下,个体对外部世界(释放日期、身体待遇、生存环境)的控制权被剥夺至零。许多意志薄弱的战俘在这种情况下彻底崩溃,因为他们将“希望”定义为“明年圣诞节前被释放”或“停止酷刑”。\n\n☯️3. 解决方式:斯多葛主义分析指出,传统意义上的“希望”在此刻是有害的,因为它将精神的安宁锚定在一个“不可控”的外部事件上。斯托克代尔的幸存,依赖于“控制二分法”的严格应用。 他清醒地认识到,他无法控制“是否被释放”或“是否被折磨”,但他100%地控制着“他如何回应折磨”、“他是否出卖情报”以及“他是否保持内心的尊严”。 通过将“希望”的定义从“获得自由”(不可控)转移到“有尊严地承受监禁”(可控),他重新定义了“胜利”的战场。这一原则的内在逻辑是:它是一个防御性的认知防火墙。它通过主动放弃对“不可控领域”的无效投资(焦虑、恐惧、徒劳的希望),将个体的能动性完全集中在唯一真正属于他的领域——他自己的意志和判断。\n\n🎯核心原则 二:价值的中立性\n☯️1. 概念阐述:这是“控制二分法”的必然推论。如果一件事物是“不可控的”,那么根据斯多葛主义的逻辑,它在“道德”上必须是中立的。这意味着,所有“不可控”的事物——包括健康、财富、痛苦、声誉甚至死亡——本身既不是“善”,也不是“恶”。它们被统称为“无关紧要之物”(或称“中立物”)。 唯一的“善”是“美德”(即理性的、符合自然和正义的判断与行为);唯一的“恶”是“恶习”(即非理性的、错误的判断与行为)。 当然,斯多葛主义承认某些“中立物”是“可取的”(如健康、财富),而另一些是“不可取的”(如疾病、贫穷),但它们绝对不能被提升到“善”或“恶”的高度。\n\n☯️2. 现实现象:以“社会声誉”为例。在当代社会,个体常常因社交媒体上的负面评价、公开的批评职业污点而经历极端的心理痛苦,甚至导致“社会性死亡”的恐惧。个体的自我价值感与“他人的看法”(一种经典的“不可控”外部事物)被深度绑定。一个负面的匿名评论,足以摧毁一个人一天的安宁。\n\n☯️3. 解决方式:斯多葛主义对这种痛苦的“诊断”是,个体犯了一个致命的“范畴错误”。他错误地将“声誉”(一个“中立物”)当作了“善”本身。 这一原则的逻辑功能是“价值重估”。它系统性地剥离了外部事物上的“道德标签”。如果声誉是“中立的”,那么他人的赞美(可取的)和诋毁(不可取的)都不能增加或减少你作为理性个体的核心价值(即你的美德)。 这种价值体系的转换,其目的是“切断”外部事件与内部安宁之间的直接因果链。如果“坏名声”不是一种“恶”,那么对它的恐惧就是非理性的。这种逻辑操练旨在实现一种极端的心理独立:个体的价值感完全自给自足,仅由其“内在美德”来定义,从而对外部的赞誉或谴责“免疫”。\n\n🎯核心原则三:认知的首要性\n☯️1. 概念阐述:如果说前两个原则是“世界观”的设定,那么第三个原则就是“心理实践”的核心机制。斯多葛主义认为,使我们陷入混乱和痛苦的,不是“事件”本身,而是我们对这些事件的“判断”或“看法”。 一个外部事件(例如,引言中提到的“身份突变”)本身只是一个“中立”的事实。它之所以造成痛苦,是因为个体立即对其附加了一个判断,如:“这是一场灾难”、“我的人生失败了”、“我一文不值”。 斯多葛主义的核心训练,就是“同意的训练”——在“刺激”(外部事件)和“反应”(情绪痛苦)之间,强行插入一个“认知审查”的步骤。\n\n☯️2. 现实现象:以“突发性丧失”为例,例如亲人的骤然离世。这是人类经验中最深刻的痛苦之一。即时的、压倒性的心理作用是:“这是无法承受的”、“这是世界上最痛苦的时刻”、“我的生活彻底失去了希望”。这种印象会立即引发剧烈的悲痛。\n\n☯️3. 解决方式:斯多葛主义在此处展现了其最“临床”的一面。它不否认生理的痛苦或情感的冲击(这些被视为自然的、“不可取的”中立物)。但它严格地分析上述的“判断”。 它会系统性地质询这些判断:“死亡”是一个“不可控”的自然事件吗?是的。根据原则二,它是一种“恶”吗?不是(它是一个“中立物”,尽管是“不可取的”)。那么,“我的生活彻底失去了希望”这个判断是基于现实的吗?不是,它是一个基于“错误价值认定”的非理性“同意”。 这种内在逻辑的运作,不是为了“消除”悲伤,而是为了“拒绝”由非理性判断所导致的、具有毁灭性的“激情”。它旨在将情感反应限制在对其“不可取的中立物”的自然反应上,同时防止这种反应升级为对“自我”和“现实”的毁灭性哲学判决。这一原则是该系统的执行程序,旨在通过审查和修正“判断”,来保护心智的“指挥中心”免受非理性情绪的颠覆。\n\n斯多葛主义不是一套用于“感觉良好”的安慰性信条,而是一个旨在彻底“重塑”个体认知结构和价值体系的训练思想。它首先通过“控制二分法”划定意志的边界;接着通过“价值中立性”剥离外部事物的道德属性;最后通过“认知的首要性”提供一套实时的“判断审查”工具。\n\n这一思想体系的激进之处在于,它将人类所有的“苦难”最终归因于一种“认知错误”——即错把“不可控”的当作“可控”的,以及错把“中立的”当作“善或恶”的。因此,它所追求的“安宁”,并非来自外部世界的顺遂,而是来自内部逻辑的绝对一致和对现实的清醒认知。它是一个要求持续实践、高度自律、甚至反直觉的思想操作系统,其最终目的是在承认外部世界完全不可控的前提下,实现内在精神的绝对自主和安宁。\n#哲学 #心理学 #思维 #认知 #知识 #逻辑\n\n#斯多葛主义 #Stoicism #理性 #情绪管理 #思维模型 #人生哲学 #精神自由 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step-by-step),然后看着它奇迹般地解决那些原本棘手的复杂问题。从数学题到逻辑推理,这句简单的指令仿佛成了一句解锁模型潜能的“咒语”。\n\n但你是否想过,这句咒语为什么如此有效?大多数人可能会直觉地认为,这是给了模型更多的“思考时间”或计算空间来处理问题。然而,一篇名为《从稀疏依赖到稀疏注意力:揭示思维链如何提升Transformer的样本效率》的研究指出,真正的原因远比这更深刻,也更令人惊讶。\n\n本文将揭示这篇论文背后隐藏的四大关键洞见,改变你对思维链(Chain-of-Thought, CoT)的传统认知。\n\n🔥1. 核心优势并非更强大,而是学得快:指数级的样本效率提升\n思维链的首要魔力,并非增强模型的“表达能力”(expressiveness),而在于大幅提升其“学习效率”(sample efficiency)。这听起来可能有些反直觉,因为我们总觉得更强的能力来自于更强的模型结构。但论文的理论证明指出,即便是最简单的单层Transformer模型,也具备足够的表达能力来解决奇偶校验问题。问题在于,它们就是学不会如何去解。\n为了证明这一点,研究者们设计了一个精妙的实验:奇偶校验(Parity)问题。简单来说,就是从一长串二进制数中,找出几个预先设定的“秘密”数字,然后判断这些秘密数字的和是奇数还是偶数。这个问题本身结构简单,但对神经网络来说却是一个经典的难题。\n\n实验结果的对比是惊人的:\n 🎓• 没有CoT的情况: 当模型只能看到问题和最终答案时,实验结果与理论分析都表明,它需要指数级的训练样本才能学会。这意味着,随着问题难度(秘密数字的数量k)的增加,所需的训练数据量会呈爆炸式增长,很快变得不切实际。\n 🎓• 使用CoT的情况: 当研究者将解题步骤(例如,每次只累加一个秘密数字的中间结果)作为CoT提供给模型时,模型仅需近似线性的样本就能轻松学会。正如论文的实验和理论所揭示的,学习效率获得了指数级的提升。\n\n结论:CoT的真正价值在于极大地提升了样本效率。它像一位高效的导师,让模型能用极小的代价,学会那些原本需要海量数据才能掌握的困难任务。\n\n🔥2. 成功的秘诀:稀疏注意力机制\nCoT之所以能实现这种惊人的效率提升,关键在于它为数据引入了一种名为“稀疏的序列依赖关系”(sparse sequential dependence)的特性。当一个复杂问题被分解为CoT的简单步骤后,每一步的计算通常只需要依赖前面内容中的极少数关键信息。例如,在奇偶校验的CoT中,计算第三步的结果只需要第二步的结果和第三个秘密数字,而与其他所有信息无关。\n\n这种稀疏的依赖关系,恰好能够引导Transformer模型内部的注意力机制学会一种高效的工作模式——“稀疏注意力”(Sparse Attention)。模型不再需要漫无目的地关注所有输入,而是学会了将注意力高度集中在少数几个当前步骤最相关的部分上。\n\n论文通过实验清晰地展示了这一点:\n 🎓• 可解释的注意力图: 训练完成后,模型的注意力模式变得异常清晰。从论文实验可以看出,在CoT的每一步计算中,注意力都像激光一样,精确地聚焦到了当前步骤所需的那一个“秘密”数字上,而完全忽略了其他无关的输入。\n 🎓• 注意力熵与准确率的关系: 研究者使用“归一化注意力熵”来衡量注意力的稀疏程度(熵越低,注意力越集中)。他们发现,模型的注意力变得越稀疏,其解决问题的准确率就越高。实验数据明确显示,当注意力熵急剧下降时,模型的准确率会随之跃升至100%。\n\n结论:CoT就像一位导师,教会了模型如何“抓重点”。这种学会聚焦、避免在海量信息中迷失的能力——即稀疏注意力——正是其高效学习的核心机制。\n\n🔥3. 意外发现:没有CoT,模型也能自学稀疏性,但过程极其漫长\n\n如果稀疏注意力真的是关键,那么一个模型即使在没有CoT引导的情况下,也应该只有在它以某种方式自发学会这种稀疏性之后才能成功。研究者们设计了一个巧妙的实验来验证这一点。他们进行了“多轮训练”(Multi-pass Training):在不使用CoT的情况下,让模型在同一个小型数据集上反复、高强度地训练。\n\n结果令人震惊,并且有力地证实了这一假说。首先,经过足够长时间的“死磕”,模型最终竟然也学会了解决奇偶校验问题。通过观察模型内部的变化,研究者发现,成功的转折点同样在于其内部自发地发展出了稀疏的注意力模式。在训练初期,模型表现不佳,注意力熵很高;随后进入一个漫长的平台期,虽然损失函数没有明显下降,但其注意力熵却在持续悄然降低;一旦注意力变得足够稀疏,模型的准确率就会像顿悟一般突然飙升。\n\n而实验中最具颠覆性的发现来自于对不同数据集规模的比较:\n 🎓• 在5万个样本的小数据集上反复训练,模型最终成功了。\n 🎓• 然而,当研究者把数据集扩大到100万个样本时,模型反而失败了。训练损失和注意力熵始终居高不下。\n\n结论:这个反直觉的结果意义重大。它证明了“稀疏注意力”是解决这类问题的根本,而不仅仅是数据量的堆砌。CoT提供了一条高效的“捷径”,直接引导模型走向稀疏性。而没有CoT的“蛮力学习”则像是在黑暗中摸索,虽然可能最终也能跌跌撞撞地找到通往稀疏性的道路,但这个过程缓慢、低效且充满不确定性——甚至更多的数据反而可能成为一种干扰。\n\n🔥4. 从理论到现实:真实世界的大模型同样遵循此道\n以上所有发现,并不仅仅适用于奇偶校验这样的合成问题。研究者们进一步在真实世界的数学问题数据集GSM8K上验证了他们的理论,发现这一机制在真实的大模型上同样适用。\n 🎓• CoT数据诱导稀疏性: 实验结果表明,当一个预训练的通用大模型(如Qwen2-7B)处理带有CoT解题步骤的数学题数据时,其注意力熵显著低于处理没有CoT的“问题-答案对”数据。这证明了真实世界中的CoT数据同样具备引导模型形成稀疏注意力的结构。\n 🎓• CoT微调增强稀疏性: 研究者进一步比较了通用模型(Qwen2-7B)和在数学CoT数据上微调过的专业模型(Qwen2-Math-7B)。结果显示,经过CoT数据微调的数学模型,在处理相同问题时,其注意力模式变得更加稀疏。\n\n结论:CoT引导模型学习稀疏注意力的机制是普适的。无论是处理理论问题还是真实世界的复杂任务,这种机制都在发挥作用。模型不仅能在训练中学会这种高效的推理模式,而且专门针对CoT数据进行优化的模型,会更擅长运用这种能力。\n\n重新理解“思考”的本质\n现在,让我们回到最初的问题:为什么“一步一步地思考”这句咒语如此神奇?\n\n这篇研究给出了一个清晰而深刻的答案:CoT的魔力不在于赋予模型新的超能力,而在于通过引入稀疏的依赖关系,将一个难以学习的问题转化为一个容易学习的问题,从而极大地提升了模型的学习效率。其背后最核心的机制,就是引导模型形成了稀疏和可解释的注意力模式。\n当我们让模型“一步一步思考”时,我们不仅仅是在给它时间,更是在给它一个结构化的、稀疏的思考框架,帮助它学会如何聚焦,如何从复杂性中提炼出关键信息。\n\n这不禁让我们思考一个更深层次的问题:既然我们知道了“稀疏性”是解锁高效推理的关键,那么未来的研究是否能设计出一种全新的模型架构,让它无需依赖“一步一步”的外部提示,就能天生高效地学习和捕捉世界中的稀疏因果关系呢?这或许是通往更强大、更通用人工智能的下一条路径。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,144],"entities":{"hashtags":[{"indices":[878,884],"text":"提示词工程"},{"indices":[885,889],"text":"LLM"},{"indices":[890,895],"text":"AIGC"},{"indices":[896,902],"text":"大语言模型"},{"indices":[903,908],"text":"人工智能"},{"indices":[909,914],"text":"AI研究"},{"indices":[915,933],"text":"PromptEngineering"},{"indices":[934,946],"text":"LLMResearch"},{"indices":[947,952],"text":"AI理论"},{"indices":[953,958],"text":"机器学习"}],"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}]},"favorited":false,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1982308237241446694","view_count":107,"bookmark_count":0,"created_at":1761454087000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1982308237241446694","full_text":"揭开提示工程的神秘面纱\n\n我们在与大型语言模型(LLM)打交道时,“提示工程”常常给人一种近乎“魔法”的印象。\n\n在调教提示词时,我们在依赖直觉和反复试错,像炼金术士一样,通过不断调整措辞、增删词语,试图找到那句能让模型输出最佳结果的“咒语”。这个过程充满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Machine)。这台机器拥有一条无限长的纸带、一个读写头和一套有限的指令规则。读写头可以在纸带上左右移动、读取符号、擦写符号。图灵证明,任何人类能想到的、符合逻辑的计算过程,无论多么复杂,都可以被这台简单的机器所模拟。\n\n“图灵机”的意义是颠覆性的。首先,他通过证明不存在一台可以判断所有程序是否会停机的“图灵机”,从而举重若轻地宣告了“判定问题”的最终答案:不存在这样的万能算法。数学中存在着机器永远无法判定的“不可计算”领域。其次,也是更重要的,他为“计算”这个模糊的概念提供了一个精确、严格的数学定义。在此之前,人们认为计算是人类心智的活动;在此之后,计算被定义为一种可以被机器执行的符号操作过程。\n\n这篇名为《论可计算数及其在判定问题上的应用》的论文,无意中为整个信息时代画好了蓝图。它是一份关于通用计算机的理论出生证明。图灵向世界宣告,不需要为不同的任务设计不同的机器,一台设计合理的“通用图灵机”就可以通过加载不同的程序(写在纸带上的指令)来模拟任何其他机器,完成任何可计算的任务。从你的笔记本电脑到智能手机,其最底层的逻辑灵魂,都是这台在1936年诞生于一位年轻人脑海中的抽象机器。图灵用纯粹的逻辑,构建了一个全新的、平坦而广阔的计算宇宙。\n\n✍️谜中人\n理论的光辉很快被战争的阴霾所笼罩。第二次世界大战爆发后,图灵被秘密招募至英国的密码破译中心——布莱切利园。在这里,他不再是象牙塔中的理论家,而是一位与时间赛跑、与纳粹德国争夺海上生命线的解码战士。\n\n德国海军使用的“恩尼格玛”(Enigma)密码机,被认为是当时最坚不可摧的加密系统。它每天变更的密钥组合数量高达天文数字,依靠人力计算根本无法破解。布莱切利园汇集了英国最顶尖的语言学家、数学家和逻辑学家,但面对恩尼格玛的铜墙铁壁,最初的进展极其缓慢。\n\n正是在这里,图灵展现了他将抽象理论转化为强大物理工具的惊人能力。他意识到,对抗机器的,必须是更快的机器。基于波兰同行奠定的基础,图灵主导设计了一种巨型机电装置——“炸弹机”(Bombe)。这台机器并非一台通用计算机,而是一种专门的、高速的逻辑搜索引擎。它能模拟数台恩尼格玛机同时运转,通过对截获的德军密文进行高速逻辑排除,在数小时内找出当日的密钥。\n\n在布莱切利园,图灵是一个古怪而核心的存在。他会因为花粉过敏而在夏天戴着防毒面具骑车上班;他会用链条把自己的马克杯锁在暖气片上以防丢失。他缺乏社交技巧,不善言辞,却以不容置疑的智力权威领导着第8小屋(Hut 8)——负责破解德国海军密码的核心部门。他与同事琼·克拉克(Joan Clarke)——一位同样才华横溢的女数学家——之间曾有过短暂的婚约。他向她坦陈了自己的同性恋身份,克拉克表示并不介意,但图灵最终还是认为,这段婚姻对双方而言都将是一个谎言,从而解除了婚约。\n\n图灵和他的团队所取得的胜利是决定性的。历史学家普遍认为,布莱che园的工作,特别是对U型潜艇使用的“鲨鱼”密码的破解,将战争的进程缩短了至少两年,拯救了数以百万计的生命。然而,这一切都发生在绝对的机密之中。战争结束时,图灵无法向任何人言说他的功绩。他是一位匿名的英雄,一个藏在“恩尼格玛”这个巨大谜题背后的谜中人。他帮助世界赢得了胜利,却必须将自己最辉煌的成就,连同他真实的自我,一同锁进沉默的保险箱。\n\n✍️胜利的阴影\n战争的胜利本应是图灵事业的又一个起点。他怀揣着制造一台“电子大脑”——即真正的通用计算机——的雄心,先后加入了国家物理实验室(NPL)和曼彻斯特大学。他详细设计了“自动计算机”(ACE)的方案,其架构远比当时美国的设计更为先进和完整。然而,和平时期的官僚主义和工程实现的缓慢,让他感到窒息。他是一个习惯于思想奔跑的人,却被现实的泥潭拖住了脚步。他的方案被拖延、修改,最终的成果与他最初的设想相去甚远。\n\n与此同时,一种更深的阴影正悄然笼罩他的个人生活。在战后保守的英国,同性恋不仅是道德禁忌,更是刑事犯罪。随着冷战的开启,同性恋者还被视为容易被敌方敲诈勒索的安全隐患。图灵在布莱切利园的涉密背景,使他的个人生活受到了更严密的审视。\n\n他一面在曼彻斯特大学参与“曼彻斯特一号”计算机的早期软件工作,一面提出了后来闻名于世的“图灵测试”,用一个关于“模仿游戏”的思想实验,为“机器能否思考”这一人工智能的终极问题设定了第一个可操作的判断标准。他甚至开始将目光从计算转向生命的奥秘,研究起生物形态发生学,试图用数学方程解释动植物身上斑纹的形成规律,比如豹子为何是斑点而斑马为何是条纹。他正处在另一场科学革命的边缘。\n\n然而,社会留给他的时间已经不多了。胜利的荣光未能照亮他生活的角落,反而让他因为昔日的秘密身份而变得更加危险。那个曾经拯救了国家的人,正在被这个国家步步紧逼,推向悬崖。\n\n✍️被咬了一口的苹果\n悲剧在1952年降临。图灵家中失窃,他向警方报案。在警方的盘问下,不谙世事的他承认了自己与一位19岁青年阿诺德·默里的同性恋关系。盗窃案迅速被搁置,取而代之的是对图灵“严重猥亵”罪的起诉。\n\n在法庭上,图灵没有为自己辩护,他真诚地认为,两个成年人之间自愿的私密行为,不应受到法律的干涉。这种超越时代的坦诚,在当时的法官看来无异于自证其罪。他被判有罪,并面临两个选择:入狱服刑,或者接受“化学阉割”——通过注射雌性激素来“治疗”他的性欲。为了继续他的研究,图灵选择了后者。\n\n这种“治疗”对他而言是毁灭性的。激素注射带来了严重的生理和心理副作用,他身体发胖,精神萎靡,更重要的是,他感到一种深刻的屈辱。那个曾用大脑对抗一个帝国的人,如今连自己的身体都无法掌控。他的安全许可被吊销,被禁止进入曾经奋战过的布莱切利园,甚至在出国旅行时也受到监视。他被曾经服务过的国家,当作一个潜在的叛徒和道德上的病人。\n\n1954年6月7日,图灵被他的女管家发现死在自己的床上,年仅41岁。床头柜上,放着一个被咬了一口的苹果。法医的鉴定结果是氰化物中毒,死因被判定为自杀。那个苹果,似乎是他对自己童年最喜欢的童话《白雪公主》的最后模仿。\n\n然而,关于他的死,至今仍有疑点。他的母亲坚决不相信儿子会自杀,认为这是一场实验意外。图灵的家中本就有一个用氰化物进行电解实验的小实验室。那个苹果是否真的浸毒,或者他是否真的吃了那个苹果,都缺乏决定性的证据。但无论真相是自杀还是意外,一个不争的事实是:一个伟大的头脑,在一个充满偏见和敌意的社会里,被逼到了生命的绝境。那个被咬了一口的苹果,成为了一个永恒的符号,象征着知识的代价、禁忌的诱惑,以及一个天才被时代毒害的悲剧。\n\n✍️数字幽灵的复活\n图灵死后,他的名字在很长一段时间里归于沉寂。由于官方的保密协议,他在战争中的巨大贡献不为世人所知。在计算机科学领域,他的开创性理论也被后来的硬件发展所掩盖。他似乎只是一个名字古怪的数学家,最终因一桩不光彩的丑闻而结束了生命。\n\n然而,思想的种子一旦种下,终将冲破时间的冻土。随着计算机革命的深入和人工智能的兴起,人们越来越频繁地回溯到那个源头。他们震惊地发现,今天数字世界里几乎所有最深刻的概念——算法、通用计算、人工智能——都可以在图灵几十年前的论文中找到清晰的印记。他的“图灵机”成为衡量一切计算能力的理论标尺,“图灵测试”至今仍是人机界限的试金石。\n\n当布莱切利园的档案在70年代解密后,世界更是为之震动。一个被遗忘的战争英雄形象浮出水面。人们终于意识到,那个被当作罪犯处理的人,恰恰是拯救了西方文明的关键人物之一。\n\n迟到的正义,以一种国家级的忏悔形式到来。2009年,时任英国首相戈登·布朗代表政府,为当年对图灵的“骇人听闻的对待”正式道歉。2013年,英国女王伊丽莎白二世颁发皇家赦免令,宣布他的罪名无效。2021年,艾伦·图灵的头像被印在全新的50英镑纸币上,与他设计的“炸弹机”图纸和那句名言并列:“这不过是将来之事的前奏,也是将来之事的影子。”\n\n图灵的灵魂,在他死后半个多世纪,以一种王者归来的姿态,完成了对那个放逐他的世界的“复仇”。他不再是一个悲剧性的人物,而成为一个象征——象征着科学理性的力量,象征着对偏见的抗争,象征着一个超越了自己时代的头脑,最终被未来所拥抱。他的一生,始于孤独的奔跑,如今,全世界都在追随他的步伐,跑向一个由他最先用逻辑编码出的未来。\n\n#艾伦图灵 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“$\\theta$-$\\tau$ 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“theta-tau 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 #传奇人生","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,32],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1979559653236441157","view_count":56,"bookmark_count":0,"created_at":1760798774000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979559653236441157","full_text":"什么是风险?风险就是在你觉得已经考虑周全的时候,被你遗漏的东西。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[7,25],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3178231","name":"宝玉","screen_name":"dotey","indices":[0,6]}]},"favorited":false,"in_reply_to_screen_name":"dotey","lang":"zh","retweeted":false,"fact_check":null,"id":"1979397787453395335","view_count":136,"bookmark_count":0,"created_at":1760760182000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979347434586402977","full_text":"@dotey 我擦,控制不好,一刀下去,耳朵👂没了","in_reply_to_user_id_str":"3178231","in_reply_to_status_id_str":"1979347434586402977","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[10,91],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"44196397","name":"Elon Musk","screen_name":"elonmusk","indices":[0,9]}]},"favorited":false,"in_reply_to_screen_name":"elonmusk","lang":"en","retweeted":false,"fact_check":null,"id":"1979483972192309357","view_count":54,"bookmark_count":0,"created_at":1760780730000,"favorite_count":7,"quote_count":0,"reply_count":0,"retweet_count":1,"user_id_str":"871838994002321410","conversation_id_str":"1979431839824777673","full_text":"@elonmusk I suppose if it can help me \"grok\" why I can never get out of bed in the morning.","in_reply_to_user_id_str":"44196397","in_reply_to_status_id_str":"1979431839824777673","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,42],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3122661542","name":"Yangyi","screen_name":"Yangyixxxx","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"Yangyixxxx","lang":"zh","retweeted":false,"fact_check":null,"id":"1979510334013775937","view_count":232,"bookmark_count":0,"created_at":1760787015000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979496155571732763","full_text":"@Yangyixxxx 谷歌账号为啥还要囤?随时注册随时有吧?难道后面会限制注册吗?","in_reply_to_user_id_str":"3122661542","in_reply_to_status_id_str":"1979496155571732763","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,72],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"885086674828578816","name":"Mr Panda","screen_name":"PandaTalk8","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"PandaTalk8","lang":"zh","retweeted":false,"fact_check":null,"id":"1979551640287089135","view_count":623,"bookmark_count":1,"created_at":1760796863000,"favorite_count":3,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979427457158779383","full_text":"@PandaTalk8 是的,这也是我喜欢用cursor的原因,可以设置,把每一步做的修改展示出来,手动确认,虽然效率低点,但是进步也是飞快的。","in_reply_to_user_id_str":"885086674828578816","in_reply_to_status_id_str":"1979427457158779383","is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-20","value":3,"startTime":1760832000000,"endTime":1760918400000,"tweets":[{"bookmarked":false,"display_text_range":[0,82],"entities":{"hashtags":[{"indices":[3292,3295],"text":"哲学"},{"indices":[3296,3300],"text":"心理学"},{"indices":[3301,3304],"text":"思维"},{"indices":[3305,3308],"text":"认知"},{"indices":[3309,3312],"text":"知识"},{"indices":[3313,3316],"text":"逻辑"},{"indices":[3318,3324],"text":"斯多葛主义"},{"indices":[3325,3334],"text":"Stoicism"},{"indices":[3335,3338],"text":"理性"},{"indices":[3339,3344],"text":"情绪管理"},{"indices":[3345,3350],"text":"思维模型"},{"indices":[3351,3356],"text":"人生哲学"},{"indices":[3357,3362],"text":"精神自由"},{"indices":[3363,3367],"text":"控制力"}],"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}]},"favorited":true,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1979903286498209903","view_count":96,"bookmark_count":1,"created_at":1760880702000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979903286498209903","full_text":"最近几天中国军方发生的新闻,想必大家都看到了,被处罚的当事人肯定会发生剧烈的心理波动。\n\n不仅仅是新闻中的当事人,甚至我们自己的遇到各种变动时,心理上也会产生波动。\n\n今天不谈新闻的本身,只聊一个西方的哲学理念“斯多葛主义”,即,如何在“个体意志”与“外部现实”之间发生剧烈冲突时,采用有效的方式缓解这种心理波动。\n\n🍯题设是这样的:\n一位在职业生涯中投入了数十年心血的人,因一次不可预测的市场动荡或内部权力重组,突然发现自己被边缘化或彻底清退。他所构建的身份认同、社会地位和经济保障似乎在一夜之间崩塌。\n\n这种经历带来的冲击,不仅仅是身份和地位的丧失,更是一种深刻的“存在性眩晕”。个体被迫直面一个事实:他所依赖的、用以定义自我价值的一切(认可、成功、财富、他人的看法),其本质是脆弱的、不可预测的,并且完全处在外部力量的掌控之下。\n\n这种“个体意志”与“外部现实”之间的剧烈冲突,揭示了一个贯穿人类经验的根本性抽象问题:当个体追求的东西完全依赖于外部环境的恩赐时,人类的心智系统如何可能维持稳定、理性和内在的安宁?\n\n斯多葛主义(Stoicism)——一个源自古希腊和罗马的、历经数百年锤炼的思想体系——正是为系统性地回应这一“存在性脆弱”问题而构建的。它并非一套旨在提供短暂安慰的“积极思维”,而是一个严谨的、近乎苛刻的、基于逻辑的认知操作系统。其唯一目标是,通过重新校准个体对“控制”、“价值”和“现实”的根本定义,来锻造一种不受外部命运波动所侵扰的精神自由(即人类的繁荣或至善)。\n\n这里拆解斯多葛主义的三个核心运作原则,以阐明这一思想体系如何对人类的苦难进行“诊断”,并提供一个内在框架。\n\n🎯核心原则一:控制二分法\n☯️1. 概念阐述:斯多葛主义的逻辑起点是对人类所有经验进行绝对的、无条件的分类。这一原则(以爱比克泰德的论述最为著名)主张,世间万物被清晰地划分为两大类:第一类是“我们能完全控制的”,第二类是“我们无法完全控制的”。 “可控的”事物仅限于我们内在的心智活动:我们的判断、我们的意图(或意志)、我们的欲望和我们的厌恶。 “不可控的”事物则包括其他一切:我们的身体(健康或疾病)、我们的财产、我们的声誉、他人的行为、以及最终的死亡。 斯多葛主义的纪律要求个体将100%的认知资源和意志力,仅用于前者;并对后者培养一种理性的、不动声色的“接纳”。\n\n☯️2. 现实现象:一个极端的例证是詹姆斯·斯托克代尔(一位爱比克泰德的研究者)的经历。作为一名战俘,他在越南被关押了七年半,经历了长期的酷刑、单独监禁和完全的不确定性。在这种情境下,个体对外部世界(释放日期、身体待遇、生存环境)的控制权被剥夺至零。许多意志薄弱的战俘在这种情况下彻底崩溃,因为他们将“希望”定义为“明年圣诞节前被释放”或“停止酷刑”。\n\n☯️3. 解决方式:斯多葛主义分析指出,传统意义上的“希望”在此刻是有害的,因为它将精神的安宁锚定在一个“不可控”的外部事件上。斯托克代尔的幸存,依赖于“控制二分法”的严格应用。 他清醒地认识到,他无法控制“是否被释放”或“是否被折磨”,但他100%地控制着“他如何回应折磨”、“他是否出卖情报”以及“他是否保持内心的尊严”。 通过将“希望”的定义从“获得自由”(不可控)转移到“有尊严地承受监禁”(可控),他重新定义了“胜利”的战场。这一原则的内在逻辑是:它是一个防御性的认知防火墙。它通过主动放弃对“不可控领域”的无效投资(焦虑、恐惧、徒劳的希望),将个体的能动性完全集中在唯一真正属于他的领域——他自己的意志和判断。\n\n🎯核心原则 二:价值的中立性\n☯️1. 概念阐述:这是“控制二分法”的必然推论。如果一件事物是“不可控的”,那么根据斯多葛主义的逻辑,它在“道德”上必须是中立的。这意味着,所有“不可控”的事物——包括健康、财富、痛苦、声誉甚至死亡——本身既不是“善”,也不是“恶”。它们被统称为“无关紧要之物”(或称“中立物”)。 唯一的“善”是“美德”(即理性的、符合自然和正义的判断与行为);唯一的“恶”是“恶习”(即非理性的、错误的判断与行为)。 当然,斯多葛主义承认某些“中立物”是“可取的”(如健康、财富),而另一些是“不可取的”(如疾病、贫穷),但它们绝对不能被提升到“善”或“恶”的高度。\n\n☯️2. 现实现象:以“社会声誉”为例。在当代社会,个体常常因社交媒体上的负面评价、公开的批评职业污点而经历极端的心理痛苦,甚至导致“社会性死亡”的恐惧。个体的自我价值感与“他人的看法”(一种经典的“不可控”外部事物)被深度绑定。一个负面的匿名评论,足以摧毁一个人一天的安宁。\n\n☯️3. 解决方式:斯多葛主义对这种痛苦的“诊断”是,个体犯了一个致命的“范畴错误”。他错误地将“声誉”(一个“中立物”)当作了“善”本身。 这一原则的逻辑功能是“价值重估”。它系统性地剥离了外部事物上的“道德标签”。如果声誉是“中立的”,那么他人的赞美(可取的)和诋毁(不可取的)都不能增加或减少你作为理性个体的核心价值(即你的美德)。 这种价值体系的转换,其目的是“切断”外部事件与内部安宁之间的直接因果链。如果“坏名声”不是一种“恶”,那么对它的恐惧就是非理性的。这种逻辑操练旨在实现一种极端的心理独立:个体的价值感完全自给自足,仅由其“内在美德”来定义,从而对外部的赞誉或谴责“免疫”。\n\n🎯核心原则三:认知的首要性\n☯️1. 概念阐述:如果说前两个原则是“世界观”的设定,那么第三个原则就是“心理实践”的核心机制。斯多葛主义认为,使我们陷入混乱和痛苦的,不是“事件”本身,而是我们对这些事件的“判断”或“看法”。 一个外部事件(例如,引言中提到的“身份突变”)本身只是一个“中立”的事实。它之所以造成痛苦,是因为个体立即对其附加了一个判断,如:“这是一场灾难”、“我的人生失败了”、“我一文不值”。 斯多葛主义的核心训练,就是“同意的训练”——在“刺激”(外部事件)和“反应”(情绪痛苦)之间,强行插入一个“认知审查”的步骤。\n\n☯️2. 现实现象:以“突发性丧失”为例,例如亲人的骤然离世。这是人类经验中最深刻的痛苦之一。即时的、压倒性的心理作用是:“这是无法承受的”、“这是世界上最痛苦的时刻”、“我的生活彻底失去了希望”。这种印象会立即引发剧烈的悲痛。\n\n☯️3. 解决方式:斯多葛主义在此处展现了其最“临床”的一面。它不否认生理的痛苦或情感的冲击(这些被视为自然的、“不可取的”中立物)。但它严格地分析上述的“判断”。 它会系统性地质询这些判断:“死亡”是一个“不可控”的自然事件吗?是的。根据原则二,它是一种“恶”吗?不是(它是一个“中立物”,尽管是“不可取的”)。那么,“我的生活彻底失去了希望”这个判断是基于现实的吗?不是,它是一个基于“错误价值认定”的非理性“同意”。 这种内在逻辑的运作,不是为了“消除”悲伤,而是为了“拒绝”由非理性判断所导致的、具有毁灭性的“激情”。它旨在将情感反应限制在对其“不可取的中立物”的自然反应上,同时防止这种反应升级为对“自我”和“现实”的毁灭性哲学判决。这一原则是该系统的执行程序,旨在通过审查和修正“判断”,来保护心智的“指挥中心”免受非理性情绪的颠覆。\n\n斯多葛主义不是一套用于“感觉良好”的安慰性信条,而是一个旨在彻底“重塑”个体认知结构和价值体系的训练思想。它首先通过“控制二分法”划定意志的边界;接着通过“价值中立性”剥离外部事物的道德属性;最后通过“认知的首要性”提供一套实时的“判断审查”工具。\n\n这一思想体系的激进之处在于,它将人类所有的“苦难”最终归因于一种“认知错误”——即错把“不可控”的当作“可控”的,以及错把“中立的”当作“善或恶”的。因此,它所追求的“安宁”,并非来自外部世界的顺遂,而是来自内部逻辑的绝对一致和对现实的清醒认知。它是一个要求持续实践、高度自律、甚至反直觉的思想操作系统,其最终目的是在承认外部世界完全不可控的前提下,实现内在精神的绝对自主和安宁。\n#哲学 #心理学 #思维 #认知 #知识 #逻辑\n\n#斯多葛主义 #Stoicism #理性 #情绪管理 #思维模型 #人生哲学 #精神自由 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step-by-step),然后看着它奇迹般地解决那些原本棘手的复杂问题。从数学题到逻辑推理,这句简单的指令仿佛成了一句解锁模型潜能的“咒语”。\n\n但你是否想过,这句咒语为什么如此有效?大多数人可能会直觉地认为,这是给了模型更多的“思考时间”或计算空间来处理问题。然而,一篇名为《从稀疏依赖到稀疏注意力:揭示思维链如何提升Transformer的样本效率》的研究指出,真正的原因远比这更深刻,也更令人惊讶。\n\n本文将揭示这篇论文背后隐藏的四大关键洞见,改变你对思维链(Chain-of-Thought, CoT)的传统认知。\n\n🔥1. 核心优势并非更强大,而是学得快:指数级的样本效率提升\n思维链的首要魔力,并非增强模型的“表达能力”(expressiveness),而在于大幅提升其“学习效率”(sample efficiency)。这听起来可能有些反直觉,因为我们总觉得更强的能力来自于更强的模型结构。但论文的理论证明指出,即便是最简单的单层Transformer模型,也具备足够的表达能力来解决奇偶校验问题。问题在于,它们就是学不会如何去解。\n为了证明这一点,研究者们设计了一个精妙的实验:奇偶校验(Parity)问题。简单来说,就是从一长串二进制数中,找出几个预先设定的“秘密”数字,然后判断这些秘密数字的和是奇数还是偶数。这个问题本身结构简单,但对神经网络来说却是一个经典的难题。\n\n实验结果的对比是惊人的:\n 🎓• 没有CoT的情况: 当模型只能看到问题和最终答案时,实验结果与理论分析都表明,它需要指数级的训练样本才能学会。这意味着,随着问题难度(秘密数字的数量k)的增加,所需的训练数据量会呈爆炸式增长,很快变得不切实际。\n 🎓• 使用CoT的情况: 当研究者将解题步骤(例如,每次只累加一个秘密数字的中间结果)作为CoT提供给模型时,模型仅需近似线性的样本就能轻松学会。正如论文的实验和理论所揭示的,学习效率获得了指数级的提升。\n\n结论:CoT的真正价值在于极大地提升了样本效率。它像一位高效的导师,让模型能用极小的代价,学会那些原本需要海量数据才能掌握的困难任务。\n\n🔥2. 成功的秘诀:稀疏注意力机制\nCoT之所以能实现这种惊人的效率提升,关键在于它为数据引入了一种名为“稀疏的序列依赖关系”(sparse sequential dependence)的特性。当一个复杂问题被分解为CoT的简单步骤后,每一步的计算通常只需要依赖前面内容中的极少数关键信息。例如,在奇偶校验的CoT中,计算第三步的结果只需要第二步的结果和第三个秘密数字,而与其他所有信息无关。\n\n这种稀疏的依赖关系,恰好能够引导Transformer模型内部的注意力机制学会一种高效的工作模式——“稀疏注意力”(Sparse Attention)。模型不再需要漫无目的地关注所有输入,而是学会了将注意力高度集中在少数几个当前步骤最相关的部分上。\n\n论文通过实验清晰地展示了这一点:\n 🎓• 可解释的注意力图: 训练完成后,模型的注意力模式变得异常清晰。从论文实验可以看出,在CoT的每一步计算中,注意力都像激光一样,精确地聚焦到了当前步骤所需的那一个“秘密”数字上,而完全忽略了其他无关的输入。\n 🎓• 注意力熵与准确率的关系: 研究者使用“归一化注意力熵”来衡量注意力的稀疏程度(熵越低,注意力越集中)。他们发现,模型的注意力变得越稀疏,其解决问题的准确率就越高。实验数据明确显示,当注意力熵急剧下降时,模型的准确率会随之跃升至100%。\n\n结论:CoT就像一位导师,教会了模型如何“抓重点”。这种学会聚焦、避免在海量信息中迷失的能力——即稀疏注意力——正是其高效学习的核心机制。\n\n🔥3. 意外发现:没有CoT,模型也能自学稀疏性,但过程极其漫长\n\n如果稀疏注意力真的是关键,那么一个模型即使在没有CoT引导的情况下,也应该只有在它以某种方式自发学会这种稀疏性之后才能成功。研究者们设计了一个巧妙的实验来验证这一点。他们进行了“多轮训练”(Multi-pass Training):在不使用CoT的情况下,让模型在同一个小型数据集上反复、高强度地训练。\n\n结果令人震惊,并且有力地证实了这一假说。首先,经过足够长时间的“死磕”,模型最终竟然也学会了解决奇偶校验问题。通过观察模型内部的变化,研究者发现,成功的转折点同样在于其内部自发地发展出了稀疏的注意力模式。在训练初期,模型表现不佳,注意力熵很高;随后进入一个漫长的平台期,虽然损失函数没有明显下降,但其注意力熵却在持续悄然降低;一旦注意力变得足够稀疏,模型的准确率就会像顿悟一般突然飙升。\n\n而实验中最具颠覆性的发现来自于对不同数据集规模的比较:\n 🎓• 在5万个样本的小数据集上反复训练,模型最终成功了。\n 🎓• 然而,当研究者把数据集扩大到100万个样本时,模型反而失败了。训练损失和注意力熵始终居高不下。\n\n结论:这个反直觉的结果意义重大。它证明了“稀疏注意力”是解决这类问题的根本,而不仅仅是数据量的堆砌。CoT提供了一条高效的“捷径”,直接引导模型走向稀疏性。而没有CoT的“蛮力学习”则像是在黑暗中摸索,虽然可能最终也能跌跌撞撞地找到通往稀疏性的道路,但这个过程缓慢、低效且充满不确定性——甚至更多的数据反而可能成为一种干扰。\n\n🔥4. 从理论到现实:真实世界的大模型同样遵循此道\n以上所有发现,并不仅仅适用于奇偶校验这样的合成问题。研究者们进一步在真实世界的数学问题数据集GSM8K上验证了他们的理论,发现这一机制在真实的大模型上同样适用。\n 🎓• CoT数据诱导稀疏性: 实验结果表明,当一个预训练的通用大模型(如Qwen2-7B)处理带有CoT解题步骤的数学题数据时,其注意力熵显著低于处理没有CoT的“问题-答案对”数据。这证明了真实世界中的CoT数据同样具备引导模型形成稀疏注意力的结构。\n 🎓• CoT微调增强稀疏性: 研究者进一步比较了通用模型(Qwen2-7B)和在数学CoT数据上微调过的专业模型(Qwen2-Math-7B)。结果显示,经过CoT数据微调的数学模型,在处理相同问题时,其注意力模式变得更加稀疏。\n\n结论:CoT引导模型学习稀疏注意力的机制是普适的。无论是处理理论问题还是真实世界的复杂任务,这种机制都在发挥作用。模型不仅能在训练中学会这种高效的推理模式,而且专门针对CoT数据进行优化的模型,会更擅长运用这种能力。\n\n重新理解“思考”的本质\n现在,让我们回到最初的问题:为什么“一步一步地思考”这句咒语如此神奇?\n\n这篇研究给出了一个清晰而深刻的答案:CoT的魔力不在于赋予模型新的超能力,而在于通过引入稀疏的依赖关系,将一个难以学习的问题转化为一个容易学习的问题,从而极大地提升了模型的学习效率。其背后最核心的机制,就是引导模型形成了稀疏和可解释的注意力模式。\n当我们让模型“一步一步思考”时,我们不仅仅是在给它时间,更是在给它一个结构化的、稀疏的思考框架,帮助它学会如何聚焦,如何从复杂性中提炼出关键信息。\n\n这不禁让我们思考一个更深层次的问题:既然我们知道了“稀疏性”是解锁高效推理的关键,那么未来的研究是否能设计出一种全新的模型架构,让它无需依赖“一步一步”的外部提示,就能天生高效地学习和捕捉世界中的稀疏因果关系呢?这或许是通往更强大、更通用人工智能的下一条路径。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-27","value":0,"startTime":1761436800000,"endTime":1761523200000,"tweets":[{"bookmarked":false,"display_text_range":[0,144],"entities":{"hashtags":[{"indices":[878,884],"text":"提示词工程"},{"indices":[885,889],"text":"LLM"},{"indices":[890,895],"text":"AIGC"},{"indices":[896,902],"text":"大语言模型"},{"indices":[903,908],"text":"人工智能"},{"indices":[909,914],"text":"AI研究"},{"indices":[915,933],"text":"PromptEngineering"},{"indices":[934,946],"text":"LLMResearch"},{"indices":[947,952],"text":"AI理论"},{"indices":[953,958],"text":"机器学习"}],"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}]},"favorited":false,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1982308237241446694","view_count":107,"bookmark_count":0,"created_at":1761454087000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1982308237241446694","full_text":"揭开提示工程的神秘面纱\n\n我们在与大型语言模型(LLM)打交道时,“提示工程”常常给人一种近乎“魔法”的印象。\n\n在调教提示词时,我们在依赖直觉和反复试错,像炼金术士一样,通过不断调整措辞、增删词语,试图找到那句能让模型输出最佳结果的“咒语”。这个过程充满了不确定性,但其效果又出奇地好。\n\n这引出了一个深刻的谜题:为什么那些通过手动精心调整,甚至是自动化算法在训练数据上搜索出来的“完美”提示词,不仅在训练数据上表现出色,也往往能在全新的、模型从未见过的数据上表现优异?按照传统机器学习的经验,这种针对训练数据的“过度优化”很容易导致“过拟合”(即模型只是死记硬背了训练样本的答案,而失去了泛化到新问题的能力)。然而,提示工程似乎天然地对这种陷阱免疫,为什么呢?\n\n最新的研究表明提示工程远非简单的反复试错,其背后隐藏着深刻的计算机制和统计学规律。\n\n以下是5个研究结论:\n\n1. 提示词即程序,而非指令。输入提示词是在动态“配置”LLM,即时构建一个“虚拟神经网络”。你的措辞是在“编程”,直接定义网络架构和权重。\n\n2. 单个注意力头具备“万能逼近器”潜力。理论证明,一个注意力头配合精巧的前缀(prefix-tuning),即可模拟任意连续函数。关键是激发核心组件的内在计算力,而非仅依赖模型规模。\n\n3. 手调提示词的泛化保障:自然性。PAC-Bayes理论表明,提示词不易过拟合,因为受“自然语言”约束。一个有效的提示词必须是“自然的”(KL散度低),这限制了其为迎合训练数据而产生的复杂性。\n\n4. 长提示词(CoT)构建更深的“虚拟网络”。“思维链”有效,不只因提供了更多上下文。更长的提示词在功能上构建了更深、更复杂的虚拟计算网络,从而降低复杂任务的近似误差。\n\n5. 无关信息是“灾难”,而非“干扰”。提示词中的“噪声”词元会带来一个无法消除的误差下限。无论有效部分多长,模型性能都会被“卡”在低水平。保持高信噪比是前提,不是优化。\n\n提示词工程正从艺术转向科学。理解其“编程”和“函数逼近”的本质,是系统化设计“超级提示”的基础。\n\n#提示词工程 #LLM #AIGC #大语言模型 #人工智能 #AI研究 #PromptEngineering #LLMResearch #AI理论 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problem)。研究发现,即使是一个简单的单层Transformer,其模型结构也已经具备了表达奇偶校验函数解法的能力。然而,令人惊讶的是,如果没有思维链的引导,模型需要指数级数量的训练样本才能学会这个函数,这在实践中几乎是不可能的。\n相比之下,当为模型提供带有思维链的训练数据时(即包含计算过程的中间步骤),同一个Transformer模型仅需多项式级的样本就能学会。这是一个在样本效率上指数级的提升。正如一篇研究论文所指出的:\n“在不使用CoT时,大语言模型常常在一些简单任务上遇到困难——比如计算‘strawberry’这个单词里有多少个‘r’。考虑到模型尺寸越来越大,这类任务超出其表达能力的上限似乎是不太可能的。”\n这项研究进一步揭示,思维链通过在输入中引入稀疏的序列依赖关系,引导模型学习到稀疏且可解释的注意力模式,这使得模型能将注意力集中在下一步计算所需的少数关键信息上,而不是在庞杂的输入中迷失方向,从而极大地简化了学习过程。这说明,思维链的核心价值之一在于它让模型能更高效地从数据中学会推理,而不是赋予它一种原本不具备的能力。\n\n3. 分步推理使AI在面对信息不完美时更加稳健\n\n现实世界的数据充满了噪声、错误和不完整的信息。无论是人类标注的数据,还是网络上抓取的内容,都很难做到完美无瑕。这对依赖数据学习的AI模型构成了巨大挑战。\n研究表明,在这种不完美的环境下,思维链相比标准的上下文学习(In-Context Learning, ICL)展现出显著的优势。ICL严重依赖于示例的质量——如果示例中的答案是错误的,模型很可能会被误导。然而,思维链的分步过程允许模型超越单个答案的对错,去学习和提取其背后正确的推理过程。\n一项实验有力地证明了这一点:一个使用思维链数据训练的Transformer模型,即使在其30%的训练数据中,中间步骤存在损坏或缺失,最终的推理准确率依然非常高。这意味着,模型能够透过不完美的数据,“领悟”到解决问题的正确逻辑和方法。这种稳健性对于AI在真实世界中的应用至关重要,它使得模型能够从不完美但更接近现实的人类数据中,学习到可靠的推理能力。\n\n4. 从统计学上看,CoT几乎总是更优选择,但“坏思路”可能有害\n\n从统计学的角度看,思维链可以被理解为一种“贝叶斯模型平均”(Bayesian Model Averaging, 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code,后端的模型换做其他,但是不知道效果会不会打折扣?","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":1,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1983562337614520416","view_count":2,"bookmark_count":0,"created_at":1761753088000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983562337614520416","full_text":"北大博士任教985高校三年:考核未过,背着百万房贷离开\n\n“措手不及!”今年元旦刚过,一纸“不再续聘”通知“传”到了36岁的程欣手中。月末就是春节,程欣本打算和妻儿过个好年,却被催促着务必尽快办完离职手续,清空办公室。\n在考核前,他曾多次询问院系相关领导,得到的答案是“无需担心”。因此,他并未着手寻找新的工作,谁知迎来的是冷水浇头。\n\n时间拉回2021年,程欣作为“优秀博士学位论文”的获得者,从北京大学毕业。当时,他一共拿到33个工作offer,最终选择入职了这所心仪的985高校。\n\n程欣经历了许多:入职不到一年,为了完成考核,他不得不放弃深耕10年的方向,转向更“热门”、便于发论文的课题。他曾因教学评价高而获得“教学优秀奖”,还带领本科生拿到“挑战杯”国家级一等奖,但这些对考核毫无助力。\n\n但过去的经历依然历历在目。程欣提出了一个深埋心中的疑问:学术,到底应该被当成一份功利化考量的工作,还是一份理想追求?\n\n以下是他的讲述:\n\n📚启程\n\n2021年夏天,我从北京大学博士毕业,是优秀博士学位论文的获得者。从硕士到博士,我都跟随同一位导师研究社会科学,围绕同一个主题深入做研究,发表了10余篇论文。\n\n我的导师是一位纯粹的研究型学者,整个师门的氛围是潜心学术的。我博士期间的目标就是毕业后成为大学老师,能够做自己感兴趣的研究,同时培养学生。\n\n毕业季,我投出200多封邮件,最后拿到了33个offer,其中包括某Top2大学马克思主义学院、北京一所师范大学的哲学系、承诺给编制的西部某“双一流”大学……\n\n最终,我下定决心入职这所985高校,原因是多方面的。首先是导师的建议和我理想主义的想法——当时,师门里还没有同学去往那座城市,我想做个开拓者;其次,引进我的老师很有人格魅力,我感觉遇到了“伯乐”;此外,虽然合同上写的考核时间只有三年,但我得到的口头承诺是“3+3”,即首聘三年后,若考核未完全达标,学校通常会续聘三年。我想,虽然我的方向偏冷门一点,但6年的时间可以去“拼一把”。\n\n刚入职时,想法是很明确的:教学和科研两条腿走路。那时学校还有一条“教学通道”——如果青年教师在论文发表和课题申请上稍有不足,通过教学依然可以评职称、留下来。\n\n在教学方面,我投入了巨大热情,在2023年拿到了“校教学优秀奖”,并带领本科生团队拿到“挑战杯”国家级一等奖,后者在学院是史无前例的。\n\n在科研方面,我做了一个有点痛苦的决定。入职不到一年,我意识到,坚持原有的冷门方向,意味着不可能达到考核要求。正好有一门热门主题课程的老师临近退休,由我接手。为了转换方向,我跟着本科生坐在教室里,认认真真听了那学期的每一堂课。\n\n我们系的氛围很好,领导、同事给了我许多支持和帮助。经人介绍,我结了婚,把所有存款拿来买了房子,并贷款100多万。我和爱人的收入加起来不高,一个人支撑房贷,一个人支撑生活用度,两个人过着普通的小日子。这样“安稳”的生活,已经让我心满意足。\n\n📚变故\n\n2023年,学校的一纸新政彻底堵死了“教学通道”。其规定,副高职称以下的青年教师,原则上不允许再承担课程教学。实际操作是,学校层面直接取消了我们这些不符合职称要求的青年教师授课排课资格。\n\n我并没有太放在心上,毕竟在校工作期间,我发表了多篇论文,手上还有两篇“已录用”的论文。并且2024年临近考核期时,我反复向院系领导确认,得到的回复是“不用担心,老人老办法,原来的3+3承诺依然生效”。在我之前的老师,有些超出了6年合同期的,还根据情况给他们续了一两年,以达到论文发表要求。因此,我天真地以为自己“没问题”,也没有着手去找新的工作。\n\n2024年12月30日,我做工作答辩。次日,学院发布了对我“不再续聘”的决定,这个通知并未送达我本人,只是发布在公告墙上。两天后,我通过他人得知:我失业了。\n\n失业的第一周,整个人都是崩溃的。我还是会习惯性地拿起书,或打开电脑,但又马上意识到,我没有工作了。当时临近春节,没什么找工作的窗口,我在家发呆了整整一个月,还不时收到“尽快办理离职手续、清空办公室”的催促。\n\n收入断了,孩子出生不久,我还面临还房贷、养家的压力。“醒”来之后,我赶紧抓住春季招聘的窗口。最让我难受的是:我失业时,年龄刚满36岁,有很多好机会却将年龄卡在35岁,我无法申请。\n\n与家人反复商量后,我选择了一所南方沿海城市的高校。这所学校的名气没那么大,但考核要求不高,且薪资是之前的两倍多,还为我们一家三口提供了公寓。\n\n妻子安慰我:“100多万的房贷可以慢慢还,就当没来过,好歹还成了个家。”如今,我们已经举家搬迁到新的城市,从头开始。\n\n📚反思\n\n回头再看,我不禁反思:为何在考核制度下,我成了被淘汰的“不合格产品”?\n\n我必须先替学院的领导、同事说句公道话——他们都是很好的人,无论是工作期间对我的支持,还是找新工作时对我的安慰和帮助。那么,我面临的痛苦究竟来源于哪里呢?\n\n首先,制度存在“不明确地带”且不断变化。我承认,2024年底接受考核时,自己确实没有达到考核要求,即“三年内拿到一个国家级课题(或引进经费至少20万),同时发表至少5篇符合学校要求的期刊论文”。\n\n然而,这些要求是2024年学校的内部文件下发的“新办法”,并未写进我的入职合同,入职时也有“教学通道”和“3+3”的承诺,考核操作是比较“柔和”的。\n\n实际上,一个普通青年教师仅凭“个人”努力,极难甚至绝无可能在三年内达到如此严苛的标准。我和身边的朋友日均工作12~18小时,但大多是“非升即走”的失败者。\n\n我观察发现,高校的人才引进制度已经非常“市场化”了,永远有更年轻、更“卷”的人拿到职称,考核要求水涨船高,没能跟上节奏的“老人”惨遭淘汰。竞争是无情的,许多学校集结大批青年研究人员,学校的排名和论文发表数量大幅提升,但这对青年教师的影响很不好。\n\n其次,论文的发表存在着大片“灰色地带”。作为大学老师,每个星期打开邮箱,都能收到一大堆“代发论文”的邮件,其中期刊的等级被明码标价。\n\n此外,作者的身份职级影响着论文发表。我亲身经历过,一篇论文在投稿时顺利通过审核,马上要发表了,编辑明确告诉我:“找一个正教授挂名,我们马上给你发表。”我当时想了很久,却没舍得,因为那篇论文是我花费很多心血的得意之作。\n\n我们会看到,一位知名学者一年论文的发表量,超过一整所大学。被指出后,这种现象依然没有收敛,反而愈演愈烈。\n\n无论是花钱“买”论文,还是找“大佬”带,都是普通青年教师难以承担的成本。\n\n📚平庸之恶\n\n除了我自己的亲身经历,我还想举三个身边朋友的案例。\n\n我的一位师弟,是大家心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"media":[{"display_url":"pic.x.com/WqskjWwwxp","expanded_url":"https://x.com/Georgeistrue/status/1983563770892112338/photo/1","id_str":"1983563747445919744","indices":[110,133],"media_key":"3_1983563747445919744","media_url_https":"https://pbs.twimg.com/media/G4cIuAvbUAACTwe.jpg","type":"photo","url":"https://t.co/WqskjWwwxp","ext_media_availability":{"status":"Available"},"features":{"large":{"faces"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心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[9,19],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"1164388321545449472","name":"卫斯理","screen_name":"imwsl90","indices":[0,8]}]},"favorited":false,"in_reply_to_screen_name":"imwsl90","lang":"zh","retweeted":false,"fact_check":null,"id":"1983467757141389805","view_count":1325,"bookmark_count":0,"created_at":1761730539000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983458922406236328","full_text":"@imwsl90 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se,"fact_check":null,"id":"1979226402886160397","view_count":118,"bookmark_count":1,"created_at":1760719321000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979226402886160397","full_text":"今天看了一篇文章,是关于“计算机之父”和“人工智能之父”——艾伦·图灵的。\n\n看完之后,我真切地感受到:在科技史最耀眼的光芒背后,藏着人类社会最深的阴影。\n图灵并非完美无瑕的天才。他口吃、内向、不擅交际,常常被同龄人视为怪人。而讽刺的是,正是这种“格格不入”,让他看清了机器与人类思维的边界,也让他在战争中用逻辑和算法击败了纳粹的“恩尼格玛”密码机,拯救了数百万人的生命。\n\n但也是这种“不谙世事”的真诚,害死了他。当他坦率承认自己与男性的恋情时,社会没有给予理解与尊重,反而用法律和化学药剂摧毁了他的身体与尊严。\n\n他用数学奠定了计算机的根基,却被非理性的偏见压垮。\n他为世界争取了未来,却没能在自己的时代被宽恕。\n\n也许,人类真正的考验,不在于能否让机器思考,而在于能否学会以更高的智慧去理解“人”。\n\n🎭艾伦·图灵:编码天空的孤独奔跑者\n艾伦·图灵的一生,像一台他自己构想的通用机器,被输入了两个截然相反的程序。一个程序由纯粹的逻辑、数字和宇宙秩序构成,驱动他奔向人类智识的巅峰,奠定了我们今天整个数字时代的地基;另一个程序则由社会的偏见、法律的冷酷和人性的脆弱写就,将他拖入个人悲剧的深渊,最终在一只浸毒的苹果旁戛然而止。他是一位用思想重塑20世纪的先知,却被他誓死保卫的世界无情地放逐。要理解图灵,我们不仅要追溯他的天才轨迹,更要凝视那个时代投射在他身上的、巨大而扭曲的阴影。\n\n✍️孤独的奔跑者\n艾伦·马西森·图灵于1912年诞生于一个往返于英帝国与印度的家庭,这种疏离的成长环境似乎从一开始就预示了他一生的孤独。他的童年是在陌生的寄宿家庭和冰冷的公学制度中度过的,在那里,他对科学——尤其是化学和数学——近乎本能的热爱,被视为对古典教育的公然挑衅。老师们在评语中抱怨他“无可救药地偏科”,希望他成为一个“受过教育的人,而非仅仅是一个科学家”。然而,图灵的思维早已在另一个维度上奔跑。当同龄人还在背诵拉丁文时,他已经独立领悟了爱因斯坦的相对论,并能从更基础的牛顿定律中推导出对其的质疑。\n\n他的世界是抽象符号和自然规律构成的内在宇宙,现实世界的人际交往则让他显得笨拙、害羞,甚至有些口吃。他是一个长跑爱好者,时常独自一人在乡间小径上奔跑数十公里。这不仅仅是锻炼,更像一种仪式——在肉体的极限疲惫中,他的大脑得以进入最纯粹、最高效的思考状态。奔跑时,世界简化为呼吸的节奏、肌肉的酸痛和脑海中不断旋转的逻辑链条,这正是他所熟悉和热爱的状态。\n\n在这片孤独的智识荒原上,出现过唯一的光源——克里斯托弗·莫尔科姆。他是图灵在舍伯恩公学唯一的知己,一个同样对科学充满热情的少年。他们之间的情感,超越了简单的友谊,是一种深刻的智识共鸣与灵魂契合。他们一同探讨哥德尔不完备定理,争论量子力学的奥秘,梦想着未来在剑桥携手并进。克里斯托弗是图灵与这个格格不入的世界之间唯一的桥梁。然而,1930年,这座桥梁轰然断裂。克里斯托弗因牛结核病猝然离世。\n\n挚友的死亡,成为图灵人生的第一个巨大创伤,也催生了他哲学思考的第一个核心命题。他反复写信给克里斯托弗的母亲,试图用科学的语言去理解那个不可逾越的边界:意识是什么?精神能否独立于肉体而存在?一个人的思维,是否可以被某种机制(Mechanism)所复制和保存?这个问题,如同一个幽灵,贯穿了他此后的全部研究。他不再仅仅满足于解开数学谜题,他要探寻思维本身的奥秘。那个孤独的奔跑者,从此有了一个终极的追问目标——他要用逻辑和机器,去追赶一个逝去挚友的灵魂。\n\n✍️逻辑的宇宙\n克里斯托弗的离去,将图灵彻底推向了纯粹的理论世界。1931年,他进入剑桥大学国王学院,这里自由的学术氛围终于让他如鱼得水。正是在剑桥的草坪与回廊间,图灵完成了他一生中最重要的理论奠基。\n\n20世纪初的数学界,被一个幽灵般的问题所困扰,即大卫·希尔伯特提出的“判定问题”(Entscheidungsproblem):是否存在一个确定的、可机械执行的程序,能够在有限时间内判断任何一个给定的数学命题的真伪?这实际上是在问:数学的边界在哪里?是否存在一个“万能算法”?\n\n年仅24岁的图灵,以一种惊世骇俗的方式回答了这个问题。他没有直接进行数学推演,而是构想出了一台结构异常简单的抽象机器——后世称之为“图灵机”(Turing Machine)。这台机器拥有一条无限长的纸带、一个读写头和一套有限的指令规则。读写头可以在纸带上左右移动、读取符号、擦写符号。图灵证明,任何人类能想到的、符合逻辑的计算过程,无论多么复杂,都可以被这台简单的机器所模拟。\n\n“图灵机”的意义是颠覆性的。首先,他通过证明不存在一台可以判断所有程序是否会停机的“图灵机”,从而举重若轻地宣告了“判定问题”的最终答案:不存在这样的万能算法。数学中存在着机器永远无法判定的“不可计算”领域。其次,也是更重要的,他为“计算”这个模糊的概念提供了一个精确、严格的数学定义。在此之前,人们认为计算是人类心智的活动;在此之后,计算被定义为一种可以被机器执行的符号操作过程。\n\n这篇名为《论可计算数及其在判定问题上的应用》的论文,无意中为整个信息时代画好了蓝图。它是一份关于通用计算机的理论出生证明。图灵向世界宣告,不需要为不同的任务设计不同的机器,一台设计合理的“通用图灵机”就可以通过加载不同的程序(写在纸带上的指令)来模拟任何其他机器,完成任何可计算的任务。从你的笔记本电脑到智能手机,其最底层的逻辑灵魂,都是这台在1936年诞生于一位年轻人脑海中的抽象机器。图灵用纯粹的逻辑,构建了一个全新的、平坦而广阔的计算宇宙。\n\n✍️谜中人\n理论的光辉很快被战争的阴霾所笼罩。第二次世界大战爆发后,图灵被秘密招募至英国的密码破译中心——布莱切利园。在这里,他不再是象牙塔中的理论家,而是一位与时间赛跑、与纳粹德国争夺海上生命线的解码战士。\n\n德国海军使用的“恩尼格玛”(Enigma)密码机,被认为是当时最坚不可摧的加密系统。它每天变更的密钥组合数量高达天文数字,依靠人力计算根本无法破解。布莱切利园汇集了英国最顶尖的语言学家、数学家和逻辑学家,但面对恩尼格玛的铜墙铁壁,最初的进展极其缓慢。\n\n正是在这里,图灵展现了他将抽象理论转化为强大物理工具的惊人能力。他意识到,对抗机器的,必须是更快的机器。基于波兰同行奠定的基础,图灵主导设计了一种巨型机电装置——“炸弹机”(Bombe)。这台机器并非一台通用计算机,而是一种专门的、高速的逻辑搜索引擎。它能模拟数台恩尼格玛机同时运转,通过对截获的德军密文进行高速逻辑排除,在数小时内找出当日的密钥。\n\n在布莱切利园,图灵是一个古怪而核心的存在。他会因为花粉过敏而在夏天戴着防毒面具骑车上班;他会用链条把自己的马克杯锁在暖气片上以防丢失。他缺乏社交技巧,不善言辞,却以不容置疑的智力权威领导着第8小屋(Hut 8)——负责破解德国海军密码的核心部门。他与同事琼·克拉克(Joan Clarke)——一位同样才华横溢的女数学家——之间曾有过短暂的婚约。他向她坦陈了自己的同性恋身份,克拉克表示并不介意,但图灵最终还是认为,这段婚姻对双方而言都将是一个谎言,从而解除了婚约。\n\n图灵和他的团队所取得的胜利是决定性的。历史学家普遍认为,布莱che园的工作,特别是对U型潜艇使用的“鲨鱼”密码的破解,将战争的进程缩短了至少两年,拯救了数以百万计的生命。然而,这一切都发生在绝对的机密之中。战争结束时,图灵无法向任何人言说他的功绩。他是一位匿名的英雄,一个藏在“恩尼格玛”这个巨大谜题背后的谜中人。他帮助世界赢得了胜利,却必须将自己最辉煌的成就,连同他真实的自我,一同锁进沉默的保险箱。\n\n✍️胜利的阴影\n战争的胜利本应是图灵事业的又一个起点。他怀揣着制造一台“电子大脑”——即真正的通用计算机——的雄心,先后加入了国家物理实验室(NPL)和曼彻斯特大学。他详细设计了“自动计算机”(ACE)的方案,其架构远比当时美国的设计更为先进和完整。然而,和平时期的官僚主义和工程实现的缓慢,让他感到窒息。他是一个习惯于思想奔跑的人,却被现实的泥潭拖住了脚步。他的方案被拖延、修改,最终的成果与他最初的设想相去甚远。\n\n与此同时,一种更深的阴影正悄然笼罩他的个人生活。在战后保守的英国,同性恋不仅是道德禁忌,更是刑事犯罪。随着冷战的开启,同性恋者还被视为容易被敌方敲诈勒索的安全隐患。图灵在布莱切利园的涉密背景,使他的个人生活受到了更严密的审视。\n\n他一面在曼彻斯特大学参与“曼彻斯特一号”计算机的早期软件工作,一面提出了后来闻名于世的“图灵测试”,用一个关于“模仿游戏”的思想实验,为“机器能否思考”这一人工智能的终极问题设定了第一个可操作的判断标准。他甚至开始将目光从计算转向生命的奥秘,研究起生物形态发生学,试图用数学方程解释动植物身上斑纹的形成规律,比如豹子为何是斑点而斑马为何是条纹。他正处在另一场科学革命的边缘。\n\n然而,社会留给他的时间已经不多了。胜利的荣光未能照亮他生活的角落,反而让他因为昔日的秘密身份而变得更加危险。那个曾经拯救了国家的人,正在被这个国家步步紧逼,推向悬崖。\n\n✍️被咬了一口的苹果\n悲剧在1952年降临。图灵家中失窃,他向警方报案。在警方的盘问下,不谙世事的他承认了自己与一位19岁青年阿诺德·默里的同性恋关系。盗窃案迅速被搁置,取而代之的是对图灵“严重猥亵”罪的起诉。\n\n在法庭上,图灵没有为自己辩护,他真诚地认为,两个成年人之间自愿的私密行为,不应受到法律的干涉。这种超越时代的坦诚,在当时的法官看来无异于自证其罪。他被判有罪,并面临两个选择:入狱服刑,或者接受“化学阉割”——通过注射雌性激素来“治疗”他的性欲。为了继续他的研究,图灵选择了后者。\n\n这种“治疗”对他而言是毁灭性的。激素注射带来了严重的生理和心理副作用,他身体发胖,精神萎靡,更重要的是,他感到一种深刻的屈辱。那个曾用大脑对抗一个帝国的人,如今连自己的身体都无法掌控。他的安全许可被吊销,被禁止进入曾经奋战过的布莱切利园,甚至在出国旅行时也受到监视。他被曾经服务过的国家,当作一个潜在的叛徒和道德上的病人。\n\n1954年6月7日,图灵被他的女管家发现死在自己的床上,年仅41岁。床头柜上,放着一个被咬了一口的苹果。法医的鉴定结果是氰化物中毒,死因被判定为自杀。那个苹果,似乎是他对自己童年最喜欢的童话《白雪公主》的最后模仿。\n\n然而,关于他的死,至今仍有疑点。他的母亲坚决不相信儿子会自杀,认为这是一场实验意外。图灵的家中本就有一个用氰化物进行电解实验的小实验室。那个苹果是否真的浸毒,或者他是否真的吃了那个苹果,都缺乏决定性的证据。但无论真相是自杀还是意外,一个不争的事实是:一个伟大的头脑,在一个充满偏见和敌意的社会里,被逼到了生命的绝境。那个被咬了一口的苹果,成为了一个永恒的符号,象征着知识的代价、禁忌的诱惑,以及一个天才被时代毒害的悲剧。\n\n✍️数字幽灵的复活\n图灵死后,他的名字在很长一段时间里归于沉寂。由于官方的保密协议,他在战争中的巨大贡献不为世人所知。在计算机科学领域,他的开创性理论也被后来的硬件发展所掩盖。他似乎只是一个名字古怪的数学家,最终因一桩不光彩的丑闻而结束了生命。\n\n然而,思想的种子一旦种下,终将冲破时间的冻土。随着计算机革命的深入和人工智能的兴起,人们越来越频繁地回溯到那个源头。他们震惊地发现,今天数字世界里几乎所有最深刻的概念——算法、通用计算、人工智能——都可以在图灵几十年前的论文中找到清晰的印记。他的“图灵机”成为衡量一切计算能力的理论标尺,“图灵测试”至今仍是人机界限的试金石。\n\n当布莱切利园的档案在70年代解密后,世界更是为之震动。一个被遗忘的战争英雄形象浮出水面。人们终于意识到,那个被当作罪犯处理的人,恰恰是拯救了西方文明的关键人物之一。\n\n迟到的正义,以一种国家级的忏悔形式到来。2009年,时任英国首相戈登·布朗代表政府,为当年对图灵的“骇人听闻的对待”正式道歉。2013年,英国女王伊丽莎白二世颁发皇家赦免令,宣布他的罪名无效。2021年,艾伦·图灵的头像被印在全新的50英镑纸币上,与他设计的“炸弹机”图纸和那句名言并列:“这不过是将来之事的前奏,也是将来之事的影子。”\n\n图灵的灵魂,在他死后半个多世纪,以一种王者归来的姿态,完成了对那个放逐他的世界的“复仇”。他不再是一个悲剧性的人物,而成为一个象征——象征着科学理性的力量,象征着对偏见的抗争,象征着一个超越了自己时代的头脑,最终被未来所拥抱。他的一生,始于孤独的奔跑,如今,全世界都在追随他的步伐,跑向一个由他最先用逻辑编码出的未来。\n\n#艾伦图灵 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“$\\theta$-$\\tau$ 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“theta-tau 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 #传奇人生","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,32],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1979559653236441157","view_count":56,"bookmark_count":0,"created_at":1760798774000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979559653236441157","full_text":"什么是风险?风险就是在你觉得已经考虑周全的时候,被你遗漏的东西。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[7,25],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3178231","name":"宝玉","screen_name":"dotey","indices":[0,6]}]},"favorited":false,"in_reply_to_screen_name":"dotey","lang":"zh","retweeted":false,"fact_check":null,"id":"1979397787453395335","view_count":136,"bookmark_count":0,"created_at":1760760182000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979347434586402977","full_text":"@dotey 我擦,控制不好,一刀下去,耳朵👂没了","in_reply_to_user_id_str":"3178231","in_reply_to_status_id_str":"1979347434586402977","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[10,91],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"44196397","name":"Elon Musk","screen_name":"elonmusk","indices":[0,9]}]},"favorited":false,"in_reply_to_screen_name":"elonmusk","lang":"en","retweeted":false,"fact_check":null,"id":"1979483972192309357","view_count":54,"bookmark_count":0,"created_at":1760780730000,"favorite_count":7,"quote_count":0,"reply_count":0,"retweet_count":1,"user_id_str":"871838994002321410","conversation_id_str":"1979431839824777673","full_text":"@elonmusk I suppose if it can help me \"grok\" why I can never get out of bed in the morning.","in_reply_to_user_id_str":"44196397","in_reply_to_status_id_str":"1979431839824777673","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,42],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3122661542","name":"Yangyi","screen_name":"Yangyixxxx","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"Yangyixxxx","lang":"zh","retweeted":false,"fact_check":null,"id":"1979510334013775937","view_count":232,"bookmark_count":0,"created_at":1760787015000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979496155571732763","full_text":"@Yangyixxxx 谷歌账号为啥还要囤?随时注册随时有吧?难道后面会限制注册吗?","in_reply_to_user_id_str":"3122661542","in_reply_to_status_id_str":"1979496155571732763","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,72],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"885086674828578816","name":"Mr Panda","screen_name":"PandaTalk8","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"PandaTalk8","lang":"zh","retweeted":false,"fact_check":null,"id":"1979551640287089135","view_count":623,"bookmark_count":1,"created_at":1760796863000,"favorite_count":3,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979427457158779383","full_text":"@PandaTalk8 是的,这也是我喜欢用cursor的原因,可以设置,把每一步做的修改展示出来,手动确认,虽然效率低点,但是进步也是飞快的。","in_reply_to_user_id_str":"885086674828578816","in_reply_to_status_id_str":"1979427457158779383","is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-20","value":1,"startTime":1760832000000,"endTime":1760918400000,"tweets":[{"bookmarked":false,"display_text_range":[0,82],"entities":{"hashtags":[{"indices":[3292,3295],"text":"哲学"},{"indices":[3296,3300],"text":"心理学"},{"indices":[3301,3304],"text":"思维"},{"indices":[3305,3308],"text":"认知"},{"indices":[3309,3312],"text":"知识"},{"indices":[3313,3316],"text":"逻辑"},{"indices":[3318,3324],"text":"斯多葛主义"},{"indices":[3325,3334],"text":"Stoicism"},{"indices":[3335,3338],"text":"理性"},{"indices":[3339,3344],"text":"情绪管理"},{"indices":[3345,3350],"text":"思维模型"},{"indices":[3351,3356],"text":"人生哲学"},{"indices":[3357,3362],"text":"精神自由"},{"indices":[3363,3367],"text":"控制力"}],"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}]},"favorited":true,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1979903286498209903","view_count":96,"bookmark_count":1,"created_at":1760880702000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979903286498209903","full_text":"最近几天中国军方发生的新闻,想必大家都看到了,被处罚的当事人肯定会发生剧烈的心理波动。\n\n不仅仅是新闻中的当事人,甚至我们自己的遇到各种变动时,心理上也会产生波动。\n\n今天不谈新闻的本身,只聊一个西方的哲学理念“斯多葛主义”,即,如何在“个体意志”与“外部现实”之间发生剧烈冲突时,采用有效的方式缓解这种心理波动。\n\n🍯题设是这样的:\n一位在职业生涯中投入了数十年心血的人,因一次不可预测的市场动荡或内部权力重组,突然发现自己被边缘化或彻底清退。他所构建的身份认同、社会地位和经济保障似乎在一夜之间崩塌。\n\n这种经历带来的冲击,不仅仅是身份和地位的丧失,更是一种深刻的“存在性眩晕”。个体被迫直面一个事实:他所依赖的、用以定义自我价值的一切(认可、成功、财富、他人的看法),其本质是脆弱的、不可预测的,并且完全处在外部力量的掌控之下。\n\n这种“个体意志”与“外部现实”之间的剧烈冲突,揭示了一个贯穿人类经验的根本性抽象问题:当个体追求的东西完全依赖于外部环境的恩赐时,人类的心智系统如何可能维持稳定、理性和内在的安宁?\n\n斯多葛主义(Stoicism)——一个源自古希腊和罗马的、历经数百年锤炼的思想体系——正是为系统性地回应这一“存在性脆弱”问题而构建的。它并非一套旨在提供短暂安慰的“积极思维”,而是一个严谨的、近乎苛刻的、基于逻辑的认知操作系统。其唯一目标是,通过重新校准个体对“控制”、“价值”和“现实”的根本定义,来锻造一种不受外部命运波动所侵扰的精神自由(即人类的繁荣或至善)。\n\n这里拆解斯多葛主义的三个核心运作原则,以阐明这一思想体系如何对人类的苦难进行“诊断”,并提供一个内在框架。\n\n🎯核心原则一:控制二分法\n☯️1. 概念阐述:斯多葛主义的逻辑起点是对人类所有经验进行绝对的、无条件的分类。这一原则(以爱比克泰德的论述最为著名)主张,世间万物被清晰地划分为两大类:第一类是“我们能完全控制的”,第二类是“我们无法完全控制的”。 “可控的”事物仅限于我们内在的心智活动:我们的判断、我们的意图(或意志)、我们的欲望和我们的厌恶。 “不可控的”事物则包括其他一切:我们的身体(健康或疾病)、我们的财产、我们的声誉、他人的行为、以及最终的死亡。 斯多葛主义的纪律要求个体将100%的认知资源和意志力,仅用于前者;并对后者培养一种理性的、不动声色的“接纳”。\n\n☯️2. 现实现象:一个极端的例证是詹姆斯·斯托克代尔(一位爱比克泰德的研究者)的经历。作为一名战俘,他在越南被关押了七年半,经历了长期的酷刑、单独监禁和完全的不确定性。在这种情境下,个体对外部世界(释放日期、身体待遇、生存环境)的控制权被剥夺至零。许多意志薄弱的战俘在这种情况下彻底崩溃,因为他们将“希望”定义为“明年圣诞节前被释放”或“停止酷刑”。\n\n☯️3. 解决方式:斯多葛主义分析指出,传统意义上的“希望”在此刻是有害的,因为它将精神的安宁锚定在一个“不可控”的外部事件上。斯托克代尔的幸存,依赖于“控制二分法”的严格应用。 他清醒地认识到,他无法控制“是否被释放”或“是否被折磨”,但他100%地控制着“他如何回应折磨”、“他是否出卖情报”以及“他是否保持内心的尊严”。 通过将“希望”的定义从“获得自由”(不可控)转移到“有尊严地承受监禁”(可控),他重新定义了“胜利”的战场。这一原则的内在逻辑是:它是一个防御性的认知防火墙。它通过主动放弃对“不可控领域”的无效投资(焦虑、恐惧、徒劳的希望),将个体的能动性完全集中在唯一真正属于他的领域——他自己的意志和判断。\n\n🎯核心原则 二:价值的中立性\n☯️1. 概念阐述:这是“控制二分法”的必然推论。如果一件事物是“不可控的”,那么根据斯多葛主义的逻辑,它在“道德”上必须是中立的。这意味着,所有“不可控”的事物——包括健康、财富、痛苦、声誉甚至死亡——本身既不是“善”,也不是“恶”。它们被统称为“无关紧要之物”(或称“中立物”)。 唯一的“善”是“美德”(即理性的、符合自然和正义的判断与行为);唯一的“恶”是“恶习”(即非理性的、错误的判断与行为)。 当然,斯多葛主义承认某些“中立物”是“可取的”(如健康、财富),而另一些是“不可取的”(如疾病、贫穷),但它们绝对不能被提升到“善”或“恶”的高度。\n\n☯️2. 现实现象:以“社会声誉”为例。在当代社会,个体常常因社交媒体上的负面评价、公开的批评职业污点而经历极端的心理痛苦,甚至导致“社会性死亡”的恐惧。个体的自我价值感与“他人的看法”(一种经典的“不可控”外部事物)被深度绑定。一个负面的匿名评论,足以摧毁一个人一天的安宁。\n\n☯️3. 解决方式:斯多葛主义对这种痛苦的“诊断”是,个体犯了一个致命的“范畴错误”。他错误地将“声誉”(一个“中立物”)当作了“善”本身。 这一原则的逻辑功能是“价值重估”。它系统性地剥离了外部事物上的“道德标签”。如果声誉是“中立的”,那么他人的赞美(可取的)和诋毁(不可取的)都不能增加或减少你作为理性个体的核心价值(即你的美德)。 这种价值体系的转换,其目的是“切断”外部事件与内部安宁之间的直接因果链。如果“坏名声”不是一种“恶”,那么对它的恐惧就是非理性的。这种逻辑操练旨在实现一种极端的心理独立:个体的价值感完全自给自足,仅由其“内在美德”来定义,从而对外部的赞誉或谴责“免疫”。\n\n🎯核心原则三:认知的首要性\n☯️1. 概念阐述:如果说前两个原则是“世界观”的设定,那么第三个原则就是“心理实践”的核心机制。斯多葛主义认为,使我们陷入混乱和痛苦的,不是“事件”本身,而是我们对这些事件的“判断”或“看法”。 一个外部事件(例如,引言中提到的“身份突变”)本身只是一个“中立”的事实。它之所以造成痛苦,是因为个体立即对其附加了一个判断,如:“这是一场灾难”、“我的人生失败了”、“我一文不值”。 斯多葛主义的核心训练,就是“同意的训练”——在“刺激”(外部事件)和“反应”(情绪痛苦)之间,强行插入一个“认知审查”的步骤。\n\n☯️2. 现实现象:以“突发性丧失”为例,例如亲人的骤然离世。这是人类经验中最深刻的痛苦之一。即时的、压倒性的心理作用是:“这是无法承受的”、“这是世界上最痛苦的时刻”、“我的生活彻底失去了希望”。这种印象会立即引发剧烈的悲痛。\n\n☯️3. 解决方式:斯多葛主义在此处展现了其最“临床”的一面。它不否认生理的痛苦或情感的冲击(这些被视为自然的、“不可取的”中立物)。但它严格地分析上述的“判断”。 它会系统性地质询这些判断:“死亡”是一个“不可控”的自然事件吗?是的。根据原则二,它是一种“恶”吗?不是(它是一个“中立物”,尽管是“不可取的”)。那么,“我的生活彻底失去了希望”这个判断是基于现实的吗?不是,它是一个基于“错误价值认定”的非理性“同意”。 这种内在逻辑的运作,不是为了“消除”悲伤,而是为了“拒绝”由非理性判断所导致的、具有毁灭性的“激情”。它旨在将情感反应限制在对其“不可取的中立物”的自然反应上,同时防止这种反应升级为对“自我”和“现实”的毁灭性哲学判决。这一原则是该系统的执行程序,旨在通过审查和修正“判断”,来保护心智的“指挥中心”免受非理性情绪的颠覆。\n\n斯多葛主义不是一套用于“感觉良好”的安慰性信条,而是一个旨在彻底“重塑”个体认知结构和价值体系的训练思想。它首先通过“控制二分法”划定意志的边界;接着通过“价值中立性”剥离外部事物的道德属性;最后通过“认知的首要性”提供一套实时的“判断审查”工具。\n\n这一思想体系的激进之处在于,它将人类所有的“苦难”最终归因于一种“认知错误”——即错把“不可控”的当作“可控”的,以及错把“中立的”当作“善或恶”的。因此,它所追求的“安宁”,并非来自外部世界的顺遂,而是来自内部逻辑的绝对一致和对现实的清醒认知。它是一个要求持续实践、高度自律、甚至反直觉的思想操作系统,其最终目的是在承认外部世界完全不可控的前提下,实现内在精神的绝对自主和安宁。\n#哲学 #心理学 #思维 #认知 #知识 #逻辑\n\n#斯多葛主义 #Stoicism #理性 #情绪管理 #思维模型 #人生哲学 #精神自由 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step-by-step),然后看着它奇迹般地解决那些原本棘手的复杂问题。从数学题到逻辑推理,这句简单的指令仿佛成了一句解锁模型潜能的“咒语”。\n\n但你是否想过,这句咒语为什么如此有效?大多数人可能会直觉地认为,这是给了模型更多的“思考时间”或计算空间来处理问题。然而,一篇名为《从稀疏依赖到稀疏注意力:揭示思维链如何提升Transformer的样本效率》的研究指出,真正的原因远比这更深刻,也更令人惊讶。\n\n本文将揭示这篇论文背后隐藏的四大关键洞见,改变你对思维链(Chain-of-Thought, CoT)的传统认知。\n\n🔥1. 核心优势并非更强大,而是学得快:指数级的样本效率提升\n思维链的首要魔力,并非增强模型的“表达能力”(expressiveness),而在于大幅提升其“学习效率”(sample efficiency)。这听起来可能有些反直觉,因为我们总觉得更强的能力来自于更强的模型结构。但论文的理论证明指出,即便是最简单的单层Transformer模型,也具备足够的表达能力来解决奇偶校验问题。问题在于,它们就是学不会如何去解。\n为了证明这一点,研究者们设计了一个精妙的实验:奇偶校验(Parity)问题。简单来说,就是从一长串二进制数中,找出几个预先设定的“秘密”数字,然后判断这些秘密数字的和是奇数还是偶数。这个问题本身结构简单,但对神经网络来说却是一个经典的难题。\n\n实验结果的对比是惊人的:\n 🎓• 没有CoT的情况: 当模型只能看到问题和最终答案时,实验结果与理论分析都表明,它需要指数级的训练样本才能学会。这意味着,随着问题难度(秘密数字的数量k)的增加,所需的训练数据量会呈爆炸式增长,很快变得不切实际。\n 🎓• 使用CoT的情况: 当研究者将解题步骤(例如,每次只累加一个秘密数字的中间结果)作为CoT提供给模型时,模型仅需近似线性的样本就能轻松学会。正如论文的实验和理论所揭示的,学习效率获得了指数级的提升。\n\n结论:CoT的真正价值在于极大地提升了样本效率。它像一位高效的导师,让模型能用极小的代价,学会那些原本需要海量数据才能掌握的困难任务。\n\n🔥2. 成功的秘诀:稀疏注意力机制\nCoT之所以能实现这种惊人的效率提升,关键在于它为数据引入了一种名为“稀疏的序列依赖关系”(sparse sequential dependence)的特性。当一个复杂问题被分解为CoT的简单步骤后,每一步的计算通常只需要依赖前面内容中的极少数关键信息。例如,在奇偶校验的CoT中,计算第三步的结果只需要第二步的结果和第三个秘密数字,而与其他所有信息无关。\n\n这种稀疏的依赖关系,恰好能够引导Transformer模型内部的注意力机制学会一种高效的工作模式——“稀疏注意力”(Sparse Attention)。模型不再需要漫无目的地关注所有输入,而是学会了将注意力高度集中在少数几个当前步骤最相关的部分上。\n\n论文通过实验清晰地展示了这一点:\n 🎓• 可解释的注意力图: 训练完成后,模型的注意力模式变得异常清晰。从论文实验可以看出,在CoT的每一步计算中,注意力都像激光一样,精确地聚焦到了当前步骤所需的那一个“秘密”数字上,而完全忽略了其他无关的输入。\n 🎓• 注意力熵与准确率的关系: 研究者使用“归一化注意力熵”来衡量注意力的稀疏程度(熵越低,注意力越集中)。他们发现,模型的注意力变得越稀疏,其解决问题的准确率就越高。实验数据明确显示,当注意力熵急剧下降时,模型的准确率会随之跃升至100%。\n\n结论:CoT就像一位导师,教会了模型如何“抓重点”。这种学会聚焦、避免在海量信息中迷失的能力——即稀疏注意力——正是其高效学习的核心机制。\n\n🔥3. 意外发现:没有CoT,模型也能自学稀疏性,但过程极其漫长\n\n如果稀疏注意力真的是关键,那么一个模型即使在没有CoT引导的情况下,也应该只有在它以某种方式自发学会这种稀疏性之后才能成功。研究者们设计了一个巧妙的实验来验证这一点。他们进行了“多轮训练”(Multi-pass Training):在不使用CoT的情况下,让模型在同一个小型数据集上反复、高强度地训练。\n\n结果令人震惊,并且有力地证实了这一假说。首先,经过足够长时间的“死磕”,模型最终竟然也学会了解决奇偶校验问题。通过观察模型内部的变化,研究者发现,成功的转折点同样在于其内部自发地发展出了稀疏的注意力模式。在训练初期,模型表现不佳,注意力熵很高;随后进入一个漫长的平台期,虽然损失函数没有明显下降,但其注意力熵却在持续悄然降低;一旦注意力变得足够稀疏,模型的准确率就会像顿悟一般突然飙升。\n\n而实验中最具颠覆性的发现来自于对不同数据集规模的比较:\n 🎓• 在5万个样本的小数据集上反复训练,模型最终成功了。\n 🎓• 然而,当研究者把数据集扩大到100万个样本时,模型反而失败了。训练损失和注意力熵始终居高不下。\n\n结论:这个反直觉的结果意义重大。它证明了“稀疏注意力”是解决这类问题的根本,而不仅仅是数据量的堆砌。CoT提供了一条高效的“捷径”,直接引导模型走向稀疏性。而没有CoT的“蛮力学习”则像是在黑暗中摸索,虽然可能最终也能跌跌撞撞地找到通往稀疏性的道路,但这个过程缓慢、低效且充满不确定性——甚至更多的数据反而可能成为一种干扰。\n\n🔥4. 从理论到现实:真实世界的大模型同样遵循此道\n以上所有发现,并不仅仅适用于奇偶校验这样的合成问题。研究者们进一步在真实世界的数学问题数据集GSM8K上验证了他们的理论,发现这一机制在真实的大模型上同样适用。\n 🎓• CoT数据诱导稀疏性: 实验结果表明,当一个预训练的通用大模型(如Qwen2-7B)处理带有CoT解题步骤的数学题数据时,其注意力熵显著低于处理没有CoT的“问题-答案对”数据。这证明了真实世界中的CoT数据同样具备引导模型形成稀疏注意力的结构。\n 🎓• CoT微调增强稀疏性: 研究者进一步比较了通用模型(Qwen2-7B)和在数学CoT数据上微调过的专业模型(Qwen2-Math-7B)。结果显示,经过CoT数据微调的数学模型,在处理相同问题时,其注意力模式变得更加稀疏。\n\n结论:CoT引导模型学习稀疏注意力的机制是普适的。无论是处理理论问题还是真实世界的复杂任务,这种机制都在发挥作用。模型不仅能在训练中学会这种高效的推理模式,而且专门针对CoT数据进行优化的模型,会更擅长运用这种能力。\n\n重新理解“思考”的本质\n现在,让我们回到最初的问题:为什么“一步一步地思考”这句咒语如此神奇?\n\n这篇研究给出了一个清晰而深刻的答案:CoT的魔力不在于赋予模型新的超能力,而在于通过引入稀疏的依赖关系,将一个难以学习的问题转化为一个容易学习的问题,从而极大地提升了模型的学习效率。其背后最核心的机制,就是引导模型形成了稀疏和可解释的注意力模式。\n当我们让模型“一步一步思考”时,我们不仅仅是在给它时间,更是在给它一个结构化的、稀疏的思考框架,帮助它学会如何聚焦,如何从复杂性中提炼出关键信息。\n\n这不禁让我们思考一个更深层次的问题:既然我们知道了“稀疏性”是解锁高效推理的关键,那么未来的研究是否能设计出一种全新的模型架构,让它无需依赖“一步一步”的外部提示,就能天生高效地学习和捕捉世界中的稀疏因果关系呢?这或许是通往更强大、更通用人工智能的下一条路径。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-27","value":0,"startTime":1761436800000,"endTime":1761523200000,"tweets":[{"bookmarked":false,"display_text_range":[0,144],"entities":{"hashtags":[{"indices":[878,884],"text":"提示词工程"},{"indices":[885,889],"text":"LLM"},{"indices":[890,895],"text":"AIGC"},{"indices":[896,902],"text":"大语言模型"},{"indices":[903,908],"text":"人工智能"},{"indices":[909,914],"text":"AI研究"},{"indices":[915,933],"text":"PromptEngineering"},{"indices":[934,946],"text":"LLMResearch"},{"indices":[947,952],"text":"AI理论"},{"indices":[953,958],"text":"机器学习"}],"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}]},"favorited":false,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1982308237241446694","view_count":107,"bookmark_count":0,"created_at":1761454087000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1982308237241446694","full_text":"揭开提示工程的神秘面纱\n\n我们在与大型语言模型(LLM)打交道时,“提示工程”常常给人一种近乎“魔法”的印象。\n\n在调教提示词时,我们在依赖直觉和反复试错,像炼金术士一样,通过不断调整措辞、增删词语,试图找到那句能让模型输出最佳结果的“咒语”。这个过程充满了不确定性,但其效果又出奇地好。\n\n这引出了一个深刻的谜题:为什么那些通过手动精心调整,甚至是自动化算法在训练数据上搜索出来的“完美”提示词,不仅在训练数据上表现出色,也往往能在全新的、模型从未见过的数据上表现优异?按照传统机器学习的经验,这种针对训练数据的“过度优化”很容易导致“过拟合”(即模型只是死记硬背了训练样本的答案,而失去了泛化到新问题的能力)。然而,提示工程似乎天然地对这种陷阱免疫,为什么呢?\n\n最新的研究表明提示工程远非简单的反复试错,其背后隐藏着深刻的计算机制和统计学规律。\n\n以下是5个研究结论:\n\n1. 提示词即程序,而非指令。输入提示词是在动态“配置”LLM,即时构建一个“虚拟神经网络”。你的措辞是在“编程”,直接定义网络架构和权重。\n\n2. 单个注意力头具备“万能逼近器”潜力。理论证明,一个注意力头配合精巧的前缀(prefix-tuning),即可模拟任意连续函数。关键是激发核心组件的内在计算力,而非仅依赖模型规模。\n\n3. 手调提示词的泛化保障:自然性。PAC-Bayes理论表明,提示词不易过拟合,因为受“自然语言”约束。一个有效的提示词必须是“自然的”(KL散度低),这限制了其为迎合训练数据而产生的复杂性。\n\n4. 长提示词(CoT)构建更深的“虚拟网络”。“思维链”有效,不只因提供了更多上下文。更长的提示词在功能上构建了更深、更复杂的虚拟计算网络,从而降低复杂任务的近似误差。\n\n5. 无关信息是“灾难”,而非“干扰”。提示词中的“噪声”词元会带来一个无法消除的误差下限。无论有效部分多长,模型性能都会被“卡”在低水平。保持高信噪比是前提,不是优化。\n\n提示词工程正从艺术转向科学。理解其“编程”和“函数逼近”的本质,是系统化设计“超级提示”的基础。\n\n#提示词工程 #LLM #AIGC #大语言模型 #人工智能 #AI研究 #PromptEngineering #LLMResearch #AI理论 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problem)。研究发现,即使是一个简单的单层Transformer,其模型结构也已经具备了表达奇偶校验函数解法的能力。然而,令人惊讶的是,如果没有思维链的引导,模型需要指数级数量的训练样本才能学会这个函数,这在实践中几乎是不可能的。\n相比之下,当为模型提供带有思维链的训练数据时(即包含计算过程的中间步骤),同一个Transformer模型仅需多项式级的样本就能学会。这是一个在样本效率上指数级的提升。正如一篇研究论文所指出的:\n“在不使用CoT时,大语言模型常常在一些简单任务上遇到困难——比如计算‘strawberry’这个单词里有多少个‘r’。考虑到模型尺寸越来越大,这类任务超出其表达能力的上限似乎是不太可能的。”\n这项研究进一步揭示,思维链通过在输入中引入稀疏的序列依赖关系,引导模型学习到稀疏且可解释的注意力模式,这使得模型能将注意力集中在下一步计算所需的少数关键信息上,而不是在庞杂的输入中迷失方向,从而极大地简化了学习过程。这说明,思维链的核心价值之一在于它让模型能更高效地从数据中学会推理,而不是赋予它一种原本不具备的能力。\n\n3. 分步推理使AI在面对信息不完美时更加稳健\n\n现实世界的数据充满了噪声、错误和不完整的信息。无论是人类标注的数据,还是网络上抓取的内容,都很难做到完美无瑕。这对依赖数据学习的AI模型构成了巨大挑战。\n研究表明,在这种不完美的环境下,思维链相比标准的上下文学习(In-Context Learning, ICL)展现出显著的优势。ICL严重依赖于示例的质量——如果示例中的答案是错误的,模型很可能会被误导。然而,思维链的分步过程允许模型超越单个答案的对错,去学习和提取其背后正确的推理过程。\n一项实验有力地证明了这一点:一个使用思维链数据训练的Transformer模型,即使在其30%的训练数据中,中间步骤存在损坏或缺失,最终的推理准确率依然非常高。这意味着,模型能够透过不完美的数据,“领悟”到解决问题的正确逻辑和方法。这种稳健性对于AI在真实世界中的应用至关重要,它使得模型能够从不完美但更接近现实的人类数据中,学习到可靠的推理能力。\n\n4. 从统计学上看,CoT几乎总是更优选择,但“坏思路”可能有害\n\n从统计学的角度看,思维链可以被理解为一种“贝叶斯模型平均”(Bayesian Model Averaging, 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code,后端的模型换做其他,但是不知道效果会不会打折扣?","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":1,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1983562337614520416","view_count":2,"bookmark_count":0,"created_at":1761753088000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983562337614520416","full_text":"北大博士任教985高校三年:考核未过,背着百万房贷离开\n\n“措手不及!”今年元旦刚过,一纸“不再续聘”通知“传”到了36岁的程欣手中。月末就是春节,程欣本打算和妻儿过个好年,却被催促着务必尽快办完离职手续,清空办公室。\n在考核前,他曾多次询问院系相关领导,得到的答案是“无需担心”。因此,他并未着手寻找新的工作,谁知迎来的是冷水浇头。\n\n时间拉回2021年,程欣作为“优秀博士学位论文”的获得者,从北京大学毕业。当时,他一共拿到33个工作offer,最终选择入职了这所心仪的985高校。\n\n程欣经历了许多:入职不到一年,为了完成考核,他不得不放弃深耕10年的方向,转向更“热门”、便于发论文的课题。他曾因教学评价高而获得“教学优秀奖”,还带领本科生拿到“挑战杯”国家级一等奖,但这些对考核毫无助力。\n\n但过去的经历依然历历在目。程欣提出了一个深埋心中的疑问:学术,到底应该被当成一份功利化考量的工作,还是一份理想追求?\n\n以下是他的讲述:\n\n📚启程\n\n2021年夏天,我从北京大学博士毕业,是优秀博士学位论文的获得者。从硕士到博士,我都跟随同一位导师研究社会科学,围绕同一个主题深入做研究,发表了10余篇论文。\n\n我的导师是一位纯粹的研究型学者,整个师门的氛围是潜心学术的。我博士期间的目标就是毕业后成为大学老师,能够做自己感兴趣的研究,同时培养学生。\n\n毕业季,我投出200多封邮件,最后拿到了33个offer,其中包括某Top2大学马克思主义学院、北京一所师范大学的哲学系、承诺给编制的西部某“双一流”大学……\n\n最终,我下定决心入职这所985高校,原因是多方面的。首先是导师的建议和我理想主义的想法——当时,师门里还没有同学去往那座城市,我想做个开拓者;其次,引进我的老师很有人格魅力,我感觉遇到了“伯乐”;此外,虽然合同上写的考核时间只有三年,但我得到的口头承诺是“3+3”,即首聘三年后,若考核未完全达标,学校通常会续聘三年。我想,虽然我的方向偏冷门一点,但6年的时间可以去“拼一把”。\n\n刚入职时,想法是很明确的:教学和科研两条腿走路。那时学校还有一条“教学通道”——如果青年教师在论文发表和课题申请上稍有不足,通过教学依然可以评职称、留下来。\n\n在教学方面,我投入了巨大热情,在2023年拿到了“校教学优秀奖”,并带领本科生团队拿到“挑战杯”国家级一等奖,后者在学院是史无前例的。\n\n在科研方面,我做了一个有点痛苦的决定。入职不到一年,我意识到,坚持原有的冷门方向,意味着不可能达到考核要求。正好有一门热门主题课程的老师临近退休,由我接手。为了转换方向,我跟着本科生坐在教室里,认认真真听了那学期的每一堂课。\n\n我们系的氛围很好,领导、同事给了我许多支持和帮助。经人介绍,我结了婚,把所有存款拿来买了房子,并贷款100多万。我和爱人的收入加起来不高,一个人支撑房贷,一个人支撑生活用度,两个人过着普通的小日子。这样“安稳”的生活,已经让我心满意足。\n\n📚变故\n\n2023年,学校的一纸新政彻底堵死了“教学通道”。其规定,副高职称以下的青年教师,原则上不允许再承担课程教学。实际操作是,学校层面直接取消了我们这些不符合职称要求的青年教师授课排课资格。\n\n我并没有太放在心上,毕竟在校工作期间,我发表了多篇论文,手上还有两篇“已录用”的论文。并且2024年临近考核期时,我反复向院系领导确认,得到的回复是“不用担心,老人老办法,原来的3+3承诺依然生效”。在我之前的老师,有些超出了6年合同期的,还根据情况给他们续了一两年,以达到论文发表要求。因此,我天真地以为自己“没问题”,也没有着手去找新的工作。\n\n2024年12月30日,我做工作答辩。次日,学院发布了对我“不再续聘”的决定,这个通知并未送达我本人,只是发布在公告墙上。两天后,我通过他人得知:我失业了。\n\n失业的第一周,整个人都是崩溃的。我还是会习惯性地拿起书,或打开电脑,但又马上意识到,我没有工作了。当时临近春节,没什么找工作的窗口,我在家发呆了整整一个月,还不时收到“尽快办理离职手续、清空办公室”的催促。\n\n收入断了,孩子出生不久,我还面临还房贷、养家的压力。“醒”来之后,我赶紧抓住春季招聘的窗口。最让我难受的是:我失业时,年龄刚满36岁,有很多好机会却将年龄卡在35岁,我无法申请。\n\n与家人反复商量后,我选择了一所南方沿海城市的高校。这所学校的名气没那么大,但考核要求不高,且薪资是之前的两倍多,还为我们一家三口提供了公寓。\n\n妻子安慰我:“100多万的房贷可以慢慢还,就当没来过,好歹还成了个家。”如今,我们已经举家搬迁到新的城市,从头开始。\n\n📚反思\n\n回头再看,我不禁反思:为何在考核制度下,我成了被淘汰的“不合格产品”?\n\n我必须先替学院的领导、同事说句公道话——他们都是很好的人,无论是工作期间对我的支持,还是找新工作时对我的安慰和帮助。那么,我面临的痛苦究竟来源于哪里呢?\n\n首先,制度存在“不明确地带”且不断变化。我承认,2024年底接受考核时,自己确实没有达到考核要求,即“三年内拿到一个国家级课题(或引进经费至少20万),同时发表至少5篇符合学校要求的期刊论文”。\n\n然而,这些要求是2024年学校的内部文件下发的“新办法”,并未写进我的入职合同,入职时也有“教学通道”和“3+3”的承诺,考核操作是比较“柔和”的。\n\n实际上,一个普通青年教师仅凭“个人”努力,极难甚至绝无可能在三年内达到如此严苛的标准。我和身边的朋友日均工作12~18小时,但大多是“非升即走”的失败者。\n\n我观察发现,高校的人才引进制度已经非常“市场化”了,永远有更年轻、更“卷”的人拿到职称,考核要求水涨船高,没能跟上节奏的“老人”惨遭淘汰。竞争是无情的,许多学校集结大批青年研究人员,学校的排名和论文发表数量大幅提升,但这对青年教师的影响很不好。\n\n其次,论文的发表存在着大片“灰色地带”。作为大学老师,每个星期打开邮箱,都能收到一大堆“代发论文”的邮件,其中期刊的等级被明码标价。\n\n此外,作者的身份职级影响着论文发表。我亲身经历过,一篇论文在投稿时顺利通过审核,马上要发表了,编辑明确告诉我:“找一个正教授挂名,我们马上给你发表。”我当时想了很久,却没舍得,因为那篇论文是我花费很多心血的得意之作。\n\n我们会看到,一位知名学者一年论文的发表量,超过一整所大学。被指出后,这种现象依然没有收敛,反而愈演愈烈。\n\n无论是花钱“买”论文,还是找“大佬”带,都是普通青年教师难以承担的成本。\n\n📚平庸之恶\n\n除了我自己的亲身经历,我还想举三个身边朋友的案例。\n\n我的一位师弟,是大家心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"media":[{"display_url":"pic.x.com/WqskjWwwxp","expanded_url":"https://x.com/Georgeistrue/status/1983563770892112338/photo/1","id_str":"1983563747445919744","indices":[110,133],"media_key":"3_1983563747445919744","media_url_https":"https://pbs.twimg.com/media/G4cIuAvbUAACTwe.jpg","type":"photo","url":"https://t.co/WqskjWwwxp","ext_media_availability":{"status":"Available"},"features":{"large":{"faces"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心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[9,19],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"1164388321545449472","name":"卫斯理","screen_name":"imwsl90","indices":[0,8]}]},"favorited":false,"in_reply_to_screen_name":"imwsl90","lang":"zh","retweeted":false,"fact_check":null,"id":"1983467757141389805","view_count":1325,"bookmark_count":0,"created_at":1761730539000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983458922406236328","full_text":"@imwsl90 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se,"fact_check":null,"id":"1979226402886160397","view_count":118,"bookmark_count":1,"created_at":1760719321000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979226402886160397","full_text":"今天看了一篇文章,是关于“计算机之父”和“人工智能之父”——艾伦·图灵的。\n\n看完之后,我真切地感受到:在科技史最耀眼的光芒背后,藏着人类社会最深的阴影。\n图灵并非完美无瑕的天才。他口吃、内向、不擅交际,常常被同龄人视为怪人。而讽刺的是,正是这种“格格不入”,让他看清了机器与人类思维的边界,也让他在战争中用逻辑和算法击败了纳粹的“恩尼格玛”密码机,拯救了数百万人的生命。\n\n但也是这种“不谙世事”的真诚,害死了他。当他坦率承认自己与男性的恋情时,社会没有给予理解与尊重,反而用法律和化学药剂摧毁了他的身体与尊严。\n\n他用数学奠定了计算机的根基,却被非理性的偏见压垮。\n他为世界争取了未来,却没能在自己的时代被宽恕。\n\n也许,人类真正的考验,不在于能否让机器思考,而在于能否学会以更高的智慧去理解“人”。\n\n🎭艾伦·图灵:编码天空的孤独奔跑者\n艾伦·图灵的一生,像一台他自己构想的通用机器,被输入了两个截然相反的程序。一个程序由纯粹的逻辑、数字和宇宙秩序构成,驱动他奔向人类智识的巅峰,奠定了我们今天整个数字时代的地基;另一个程序则由社会的偏见、法律的冷酷和人性的脆弱写就,将他拖入个人悲剧的深渊,最终在一只浸毒的苹果旁戛然而止。他是一位用思想重塑20世纪的先知,却被他誓死保卫的世界无情地放逐。要理解图灵,我们不仅要追溯他的天才轨迹,更要凝视那个时代投射在他身上的、巨大而扭曲的阴影。\n\n✍️孤独的奔跑者\n艾伦·马西森·图灵于1912年诞生于一个往返于英帝国与印度的家庭,这种疏离的成长环境似乎从一开始就预示了他一生的孤独。他的童年是在陌生的寄宿家庭和冰冷的公学制度中度过的,在那里,他对科学——尤其是化学和数学——近乎本能的热爱,被视为对古典教育的公然挑衅。老师们在评语中抱怨他“无可救药地偏科”,希望他成为一个“受过教育的人,而非仅仅是一个科学家”。然而,图灵的思维早已在另一个维度上奔跑。当同龄人还在背诵拉丁文时,他已经独立领悟了爱因斯坦的相对论,并能从更基础的牛顿定律中推导出对其的质疑。\n\n他的世界是抽象符号和自然规律构成的内在宇宙,现实世界的人际交往则让他显得笨拙、害羞,甚至有些口吃。他是一个长跑爱好者,时常独自一人在乡间小径上奔跑数十公里。这不仅仅是锻炼,更像一种仪式——在肉体的极限疲惫中,他的大脑得以进入最纯粹、最高效的思考状态。奔跑时,世界简化为呼吸的节奏、肌肉的酸痛和脑海中不断旋转的逻辑链条,这正是他所熟悉和热爱的状态。\n\n在这片孤独的智识荒原上,出现过唯一的光源——克里斯托弗·莫尔科姆。他是图灵在舍伯恩公学唯一的知己,一个同样对科学充满热情的少年。他们之间的情感,超越了简单的友谊,是一种深刻的智识共鸣与灵魂契合。他们一同探讨哥德尔不完备定理,争论量子力学的奥秘,梦想着未来在剑桥携手并进。克里斯托弗是图灵与这个格格不入的世界之间唯一的桥梁。然而,1930年,这座桥梁轰然断裂。克里斯托弗因牛结核病猝然离世。\n\n挚友的死亡,成为图灵人生的第一个巨大创伤,也催生了他哲学思考的第一个核心命题。他反复写信给克里斯托弗的母亲,试图用科学的语言去理解那个不可逾越的边界:意识是什么?精神能否独立于肉体而存在?一个人的思维,是否可以被某种机制(Mechanism)所复制和保存?这个问题,如同一个幽灵,贯穿了他此后的全部研究。他不再仅仅满足于解开数学谜题,他要探寻思维本身的奥秘。那个孤独的奔跑者,从此有了一个终极的追问目标——他要用逻辑和机器,去追赶一个逝去挚友的灵魂。\n\n✍️逻辑的宇宙\n克里斯托弗的离去,将图灵彻底推向了纯粹的理论世界。1931年,他进入剑桥大学国王学院,这里自由的学术氛围终于让他如鱼得水。正是在剑桥的草坪与回廊间,图灵完成了他一生中最重要的理论奠基。\n\n20世纪初的数学界,被一个幽灵般的问题所困扰,即大卫·希尔伯特提出的“判定问题”(Entscheidungsproblem):是否存在一个确定的、可机械执行的程序,能够在有限时间内判断任何一个给定的数学命题的真伪?这实际上是在问:数学的边界在哪里?是否存在一个“万能算法”?\n\n年仅24岁的图灵,以一种惊世骇俗的方式回答了这个问题。他没有直接进行数学推演,而是构想出了一台结构异常简单的抽象机器——后世称之为“图灵机”(Turing Machine)。这台机器拥有一条无限长的纸带、一个读写头和一套有限的指令规则。读写头可以在纸带上左右移动、读取符号、擦写符号。图灵证明,任何人类能想到的、符合逻辑的计算过程,无论多么复杂,都可以被这台简单的机器所模拟。\n\n“图灵机”的意义是颠覆性的。首先,他通过证明不存在一台可以判断所有程序是否会停机的“图灵机”,从而举重若轻地宣告了“判定问题”的最终答案:不存在这样的万能算法。数学中存在着机器永远无法判定的“不可计算”领域。其次,也是更重要的,他为“计算”这个模糊的概念提供了一个精确、严格的数学定义。在此之前,人们认为计算是人类心智的活动;在此之后,计算被定义为一种可以被机器执行的符号操作过程。\n\n这篇名为《论可计算数及其在判定问题上的应用》的论文,无意中为整个信息时代画好了蓝图。它是一份关于通用计算机的理论出生证明。图灵向世界宣告,不需要为不同的任务设计不同的机器,一台设计合理的“通用图灵机”就可以通过加载不同的程序(写在纸带上的指令)来模拟任何其他机器,完成任何可计算的任务。从你的笔记本电脑到智能手机,其最底层的逻辑灵魂,都是这台在1936年诞生于一位年轻人脑海中的抽象机器。图灵用纯粹的逻辑,构建了一个全新的、平坦而广阔的计算宇宙。\n\n✍️谜中人\n理论的光辉很快被战争的阴霾所笼罩。第二次世界大战爆发后,图灵被秘密招募至英国的密码破译中心——布莱切利园。在这里,他不再是象牙塔中的理论家,而是一位与时间赛跑、与纳粹德国争夺海上生命线的解码战士。\n\n德国海军使用的“恩尼格玛”(Enigma)密码机,被认为是当时最坚不可摧的加密系统。它每天变更的密钥组合数量高达天文数字,依靠人力计算根本无法破解。布莱切利园汇集了英国最顶尖的语言学家、数学家和逻辑学家,但面对恩尼格玛的铜墙铁壁,最初的进展极其缓慢。\n\n正是在这里,图灵展现了他将抽象理论转化为强大物理工具的惊人能力。他意识到,对抗机器的,必须是更快的机器。基于波兰同行奠定的基础,图灵主导设计了一种巨型机电装置——“炸弹机”(Bombe)。这台机器并非一台通用计算机,而是一种专门的、高速的逻辑搜索引擎。它能模拟数台恩尼格玛机同时运转,通过对截获的德军密文进行高速逻辑排除,在数小时内找出当日的密钥。\n\n在布莱切利园,图灵是一个古怪而核心的存在。他会因为花粉过敏而在夏天戴着防毒面具骑车上班;他会用链条把自己的马克杯锁在暖气片上以防丢失。他缺乏社交技巧,不善言辞,却以不容置疑的智力权威领导着第8小屋(Hut 8)——负责破解德国海军密码的核心部门。他与同事琼·克拉克(Joan Clarke)——一位同样才华横溢的女数学家——之间曾有过短暂的婚约。他向她坦陈了自己的同性恋身份,克拉克表示并不介意,但图灵最终还是认为,这段婚姻对双方而言都将是一个谎言,从而解除了婚约。\n\n图灵和他的团队所取得的胜利是决定性的。历史学家普遍认为,布莱che园的工作,特别是对U型潜艇使用的“鲨鱼”密码的破解,将战争的进程缩短了至少两年,拯救了数以百万计的生命。然而,这一切都发生在绝对的机密之中。战争结束时,图灵无法向任何人言说他的功绩。他是一位匿名的英雄,一个藏在“恩尼格玛”这个巨大谜题背后的谜中人。他帮助世界赢得了胜利,却必须将自己最辉煌的成就,连同他真实的自我,一同锁进沉默的保险箱。\n\n✍️胜利的阴影\n战争的胜利本应是图灵事业的又一个起点。他怀揣着制造一台“电子大脑”——即真正的通用计算机——的雄心,先后加入了国家物理实验室(NPL)和曼彻斯特大学。他详细设计了“自动计算机”(ACE)的方案,其架构远比当时美国的设计更为先进和完整。然而,和平时期的官僚主义和工程实现的缓慢,让他感到窒息。他是一个习惯于思想奔跑的人,却被现实的泥潭拖住了脚步。他的方案被拖延、修改,最终的成果与他最初的设想相去甚远。\n\n与此同时,一种更深的阴影正悄然笼罩他的个人生活。在战后保守的英国,同性恋不仅是道德禁忌,更是刑事犯罪。随着冷战的开启,同性恋者还被视为容易被敌方敲诈勒索的安全隐患。图灵在布莱切利园的涉密背景,使他的个人生活受到了更严密的审视。\n\n他一面在曼彻斯特大学参与“曼彻斯特一号”计算机的早期软件工作,一面提出了后来闻名于世的“图灵测试”,用一个关于“模仿游戏”的思想实验,为“机器能否思考”这一人工智能的终极问题设定了第一个可操作的判断标准。他甚至开始将目光从计算转向生命的奥秘,研究起生物形态发生学,试图用数学方程解释动植物身上斑纹的形成规律,比如豹子为何是斑点而斑马为何是条纹。他正处在另一场科学革命的边缘。\n\n然而,社会留给他的时间已经不多了。胜利的荣光未能照亮他生活的角落,反而让他因为昔日的秘密身份而变得更加危险。那个曾经拯救了国家的人,正在被这个国家步步紧逼,推向悬崖。\n\n✍️被咬了一口的苹果\n悲剧在1952年降临。图灵家中失窃,他向警方报案。在警方的盘问下,不谙世事的他承认了自己与一位19岁青年阿诺德·默里的同性恋关系。盗窃案迅速被搁置,取而代之的是对图灵“严重猥亵”罪的起诉。\n\n在法庭上,图灵没有为自己辩护,他真诚地认为,两个成年人之间自愿的私密行为,不应受到法律的干涉。这种超越时代的坦诚,在当时的法官看来无异于自证其罪。他被判有罪,并面临两个选择:入狱服刑,或者接受“化学阉割”——通过注射雌性激素来“治疗”他的性欲。为了继续他的研究,图灵选择了后者。\n\n这种“治疗”对他而言是毁灭性的。激素注射带来了严重的生理和心理副作用,他身体发胖,精神萎靡,更重要的是,他感到一种深刻的屈辱。那个曾用大脑对抗一个帝国的人,如今连自己的身体都无法掌控。他的安全许可被吊销,被禁止进入曾经奋战过的布莱切利园,甚至在出国旅行时也受到监视。他被曾经服务过的国家,当作一个潜在的叛徒和道德上的病人。\n\n1954年6月7日,图灵被他的女管家发现死在自己的床上,年仅41岁。床头柜上,放着一个被咬了一口的苹果。法医的鉴定结果是氰化物中毒,死因被判定为自杀。那个苹果,似乎是他对自己童年最喜欢的童话《白雪公主》的最后模仿。\n\n然而,关于他的死,至今仍有疑点。他的母亲坚决不相信儿子会自杀,认为这是一场实验意外。图灵的家中本就有一个用氰化物进行电解实验的小实验室。那个苹果是否真的浸毒,或者他是否真的吃了那个苹果,都缺乏决定性的证据。但无论真相是自杀还是意外,一个不争的事实是:一个伟大的头脑,在一个充满偏见和敌意的社会里,被逼到了生命的绝境。那个被咬了一口的苹果,成为了一个永恒的符号,象征着知识的代价、禁忌的诱惑,以及一个天才被时代毒害的悲剧。\n\n✍️数字幽灵的复活\n图灵死后,他的名字在很长一段时间里归于沉寂。由于官方的保密协议,他在战争中的巨大贡献不为世人所知。在计算机科学领域,他的开创性理论也被后来的硬件发展所掩盖。他似乎只是一个名字古怪的数学家,最终因一桩不光彩的丑闻而结束了生命。\n\n然而,思想的种子一旦种下,终将冲破时间的冻土。随着计算机革命的深入和人工智能的兴起,人们越来越频繁地回溯到那个源头。他们震惊地发现,今天数字世界里几乎所有最深刻的概念——算法、通用计算、人工智能——都可以在图灵几十年前的论文中找到清晰的印记。他的“图灵机”成为衡量一切计算能力的理论标尺,“图灵测试”至今仍是人机界限的试金石。\n\n当布莱切利园的档案在70年代解密后,世界更是为之震动。一个被遗忘的战争英雄形象浮出水面。人们终于意识到,那个被当作罪犯处理的人,恰恰是拯救了西方文明的关键人物之一。\n\n迟到的正义,以一种国家级的忏悔形式到来。2009年,时任英国首相戈登·布朗代表政府,为当年对图灵的“骇人听闻的对待”正式道歉。2013年,英国女王伊丽莎白二世颁发皇家赦免令,宣布他的罪名无效。2021年,艾伦·图灵的头像被印在全新的50英镑纸币上,与他设计的“炸弹机”图纸和那句名言并列:“这不过是将来之事的前奏,也是将来之事的影子。”\n\n图灵的灵魂,在他死后半个多世纪,以一种王者归来的姿态,完成了对那个放逐他的世界的“复仇”。他不再是一个悲剧性的人物,而成为一个象征——象征着科学理性的力量,象征着对偏见的抗争,象征着一个超越了自己时代的头脑,最终被未来所拥抱。他的一生,始于孤独的奔跑,如今,全世界都在追随他的步伐,跑向一个由他最先用逻辑编码出的未来。\n\n#艾伦图灵 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“$\\theta$-$\\tau$ 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“theta-tau 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 #传奇人生","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,32],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1979559653236441157","view_count":56,"bookmark_count":0,"created_at":1760798774000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979559653236441157","full_text":"什么是风险?风险就是在你觉得已经考虑周全的时候,被你遗漏的东西。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[7,25],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3178231","name":"宝玉","screen_name":"dotey","indices":[0,6]}]},"favorited":false,"in_reply_to_screen_name":"dotey","lang":"zh","retweeted":false,"fact_check":null,"id":"1979397787453395335","view_count":136,"bookmark_count":0,"created_at":1760760182000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979347434586402977","full_text":"@dotey 我擦,控制不好,一刀下去,耳朵👂没了","in_reply_to_user_id_str":"3178231","in_reply_to_status_id_str":"1979347434586402977","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[10,91],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"44196397","name":"Elon Musk","screen_name":"elonmusk","indices":[0,9]}]},"favorited":false,"in_reply_to_screen_name":"elonmusk","lang":"en","retweeted":false,"fact_check":null,"id":"1979483972192309357","view_count":54,"bookmark_count":0,"created_at":1760780730000,"favorite_count":7,"quote_count":0,"reply_count":0,"retweet_count":1,"user_id_str":"871838994002321410","conversation_id_str":"1979431839824777673","full_text":"@elonmusk I suppose if it can help me \"grok\" why I can never get out of bed in the morning.","in_reply_to_user_id_str":"44196397","in_reply_to_status_id_str":"1979431839824777673","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,42],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3122661542","name":"Yangyi","screen_name":"Yangyixxxx","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"Yangyixxxx","lang":"zh","retweeted":false,"fact_check":null,"id":"1979510334013775937","view_count":232,"bookmark_count":0,"created_at":1760787015000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979496155571732763","full_text":"@Yangyixxxx 谷歌账号为啥还要囤?随时注册随时有吧?难道后面会限制注册吗?","in_reply_to_user_id_str":"3122661542","in_reply_to_status_id_str":"1979496155571732763","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,72],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"885086674828578816","name":"Mr Panda","screen_name":"PandaTalk8","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"PandaTalk8","lang":"zh","retweeted":false,"fact_check":null,"id":"1979551640287089135","view_count":623,"bookmark_count":1,"created_at":1760796863000,"favorite_count":3,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979427457158779383","full_text":"@PandaTalk8 是的,这也是我喜欢用cursor的原因,可以设置,把每一步做的修改展示出来,手动确认,虽然效率低点,但是进步也是飞快的。","in_reply_to_user_id_str":"885086674828578816","in_reply_to_status_id_str":"1979427457158779383","is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-20","value":2,"startTime":1760832000000,"endTime":1760918400000,"tweets":[{"bookmarked":false,"display_text_range":[0,82],"entities":{"hashtags":[{"indices":[3292,3295],"text":"哲学"},{"indices":[3296,3300],"text":"心理学"},{"indices":[3301,3304],"text":"思维"},{"indices":[3305,3308],"text":"认知"},{"indices":[3309,3312],"text":"知识"},{"indices":[3313,3316],"text":"逻辑"},{"indices":[3318,3324],"text":"斯多葛主义"},{"indices":[3325,3334],"text":"Stoicism"},{"indices":[3335,3338],"text":"理性"},{"indices":[3339,3344],"text":"情绪管理"},{"indices":[3345,3350],"text":"思维模型"},{"indices":[3351,3356],"text":"人生哲学"},{"indices":[3357,3362],"text":"精神自由"},{"indices":[3363,3367],"text":"控制力"}],"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}]},"favorited":true,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1979903286498209903","view_count":96,"bookmark_count":1,"created_at":1760880702000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979903286498209903","full_text":"最近几天中国军方发生的新闻,想必大家都看到了,被处罚的当事人肯定会发生剧烈的心理波动。\n\n不仅仅是新闻中的当事人,甚至我们自己的遇到各种变动时,心理上也会产生波动。\n\n今天不谈新闻的本身,只聊一个西方的哲学理念“斯多葛主义”,即,如何在“个体意志”与“外部现实”之间发生剧烈冲突时,采用有效的方式缓解这种心理波动。\n\n🍯题设是这样的:\n一位在职业生涯中投入了数十年心血的人,因一次不可预测的市场动荡或内部权力重组,突然发现自己被边缘化或彻底清退。他所构建的身份认同、社会地位和经济保障似乎在一夜之间崩塌。\n\n这种经历带来的冲击,不仅仅是身份和地位的丧失,更是一种深刻的“存在性眩晕”。个体被迫直面一个事实:他所依赖的、用以定义自我价值的一切(认可、成功、财富、他人的看法),其本质是脆弱的、不可预测的,并且完全处在外部力量的掌控之下。\n\n这种“个体意志”与“外部现实”之间的剧烈冲突,揭示了一个贯穿人类经验的根本性抽象问题:当个体追求的东西完全依赖于外部环境的恩赐时,人类的心智系统如何可能维持稳定、理性和内在的安宁?\n\n斯多葛主义(Stoicism)——一个源自古希腊和罗马的、历经数百年锤炼的思想体系——正是为系统性地回应这一“存在性脆弱”问题而构建的。它并非一套旨在提供短暂安慰的“积极思维”,而是一个严谨的、近乎苛刻的、基于逻辑的认知操作系统。其唯一目标是,通过重新校准个体对“控制”、“价值”和“现实”的根本定义,来锻造一种不受外部命运波动所侵扰的精神自由(即人类的繁荣或至善)。\n\n这里拆解斯多葛主义的三个核心运作原则,以阐明这一思想体系如何对人类的苦难进行“诊断”,并提供一个内在框架。\n\n🎯核心原则一:控制二分法\n☯️1. 概念阐述:斯多葛主义的逻辑起点是对人类所有经验进行绝对的、无条件的分类。这一原则(以爱比克泰德的论述最为著名)主张,世间万物被清晰地划分为两大类:第一类是“我们能完全控制的”,第二类是“我们无法完全控制的”。 “可控的”事物仅限于我们内在的心智活动:我们的判断、我们的意图(或意志)、我们的欲望和我们的厌恶。 “不可控的”事物则包括其他一切:我们的身体(健康或疾病)、我们的财产、我们的声誉、他人的行为、以及最终的死亡。 斯多葛主义的纪律要求个体将100%的认知资源和意志力,仅用于前者;并对后者培养一种理性的、不动声色的“接纳”。\n\n☯️2. 现实现象:一个极端的例证是詹姆斯·斯托克代尔(一位爱比克泰德的研究者)的经历。作为一名战俘,他在越南被关押了七年半,经历了长期的酷刑、单独监禁和完全的不确定性。在这种情境下,个体对外部世界(释放日期、身体待遇、生存环境)的控制权被剥夺至零。许多意志薄弱的战俘在这种情况下彻底崩溃,因为他们将“希望”定义为“明年圣诞节前被释放”或“停止酷刑”。\n\n☯️3. 解决方式:斯多葛主义分析指出,传统意义上的“希望”在此刻是有害的,因为它将精神的安宁锚定在一个“不可控”的外部事件上。斯托克代尔的幸存,依赖于“控制二分法”的严格应用。 他清醒地认识到,他无法控制“是否被释放”或“是否被折磨”,但他100%地控制着“他如何回应折磨”、“他是否出卖情报”以及“他是否保持内心的尊严”。 通过将“希望”的定义从“获得自由”(不可控)转移到“有尊严地承受监禁”(可控),他重新定义了“胜利”的战场。这一原则的内在逻辑是:它是一个防御性的认知防火墙。它通过主动放弃对“不可控领域”的无效投资(焦虑、恐惧、徒劳的希望),将个体的能动性完全集中在唯一真正属于他的领域——他自己的意志和判断。\n\n🎯核心原则 二:价值的中立性\n☯️1. 概念阐述:这是“控制二分法”的必然推论。如果一件事物是“不可控的”,那么根据斯多葛主义的逻辑,它在“道德”上必须是中立的。这意味着,所有“不可控”的事物——包括健康、财富、痛苦、声誉甚至死亡——本身既不是“善”,也不是“恶”。它们被统称为“无关紧要之物”(或称“中立物”)。 唯一的“善”是“美德”(即理性的、符合自然和正义的判断与行为);唯一的“恶”是“恶习”(即非理性的、错误的判断与行为)。 当然,斯多葛主义承认某些“中立物”是“可取的”(如健康、财富),而另一些是“不可取的”(如疾病、贫穷),但它们绝对不能被提升到“善”或“恶”的高度。\n\n☯️2. 现实现象:以“社会声誉”为例。在当代社会,个体常常因社交媒体上的负面评价、公开的批评职业污点而经历极端的心理痛苦,甚至导致“社会性死亡”的恐惧。个体的自我价值感与“他人的看法”(一种经典的“不可控”外部事物)被深度绑定。一个负面的匿名评论,足以摧毁一个人一天的安宁。\n\n☯️3. 解决方式:斯多葛主义对这种痛苦的“诊断”是,个体犯了一个致命的“范畴错误”。他错误地将“声誉”(一个“中立物”)当作了“善”本身。 这一原则的逻辑功能是“价值重估”。它系统性地剥离了外部事物上的“道德标签”。如果声誉是“中立的”,那么他人的赞美(可取的)和诋毁(不可取的)都不能增加或减少你作为理性个体的核心价值(即你的美德)。 这种价值体系的转换,其目的是“切断”外部事件与内部安宁之间的直接因果链。如果“坏名声”不是一种“恶”,那么对它的恐惧就是非理性的。这种逻辑操练旨在实现一种极端的心理独立:个体的价值感完全自给自足,仅由其“内在美德”来定义,从而对外部的赞誉或谴责“免疫”。\n\n🎯核心原则三:认知的首要性\n☯️1. 概念阐述:如果说前两个原则是“世界观”的设定,那么第三个原则就是“心理实践”的核心机制。斯多葛主义认为,使我们陷入混乱和痛苦的,不是“事件”本身,而是我们对这些事件的“判断”或“看法”。 一个外部事件(例如,引言中提到的“身份突变”)本身只是一个“中立”的事实。它之所以造成痛苦,是因为个体立即对其附加了一个判断,如:“这是一场灾难”、“我的人生失败了”、“我一文不值”。 斯多葛主义的核心训练,就是“同意的训练”——在“刺激”(外部事件)和“反应”(情绪痛苦)之间,强行插入一个“认知审查”的步骤。\n\n☯️2. 现实现象:以“突发性丧失”为例,例如亲人的骤然离世。这是人类经验中最深刻的痛苦之一。即时的、压倒性的心理作用是:“这是无法承受的”、“这是世界上最痛苦的时刻”、“我的生活彻底失去了希望”。这种印象会立即引发剧烈的悲痛。\n\n☯️3. 解决方式:斯多葛主义在此处展现了其最“临床”的一面。它不否认生理的痛苦或情感的冲击(这些被视为自然的、“不可取的”中立物)。但它严格地分析上述的“判断”。 它会系统性地质询这些判断:“死亡”是一个“不可控”的自然事件吗?是的。根据原则二,它是一种“恶”吗?不是(它是一个“中立物”,尽管是“不可取的”)。那么,“我的生活彻底失去了希望”这个判断是基于现实的吗?不是,它是一个基于“错误价值认定”的非理性“同意”。 这种内在逻辑的运作,不是为了“消除”悲伤,而是为了“拒绝”由非理性判断所导致的、具有毁灭性的“激情”。它旨在将情感反应限制在对其“不可取的中立物”的自然反应上,同时防止这种反应升级为对“自我”和“现实”的毁灭性哲学判决。这一原则是该系统的执行程序,旨在通过审查和修正“判断”,来保护心智的“指挥中心”免受非理性情绪的颠覆。\n\n斯多葛主义不是一套用于“感觉良好”的安慰性信条,而是一个旨在彻底“重塑”个体认知结构和价值体系的训练思想。它首先通过“控制二分法”划定意志的边界;接着通过“价值中立性”剥离外部事物的道德属性;最后通过“认知的首要性”提供一套实时的“判断审查”工具。\n\n这一思想体系的激进之处在于,它将人类所有的“苦难”最终归因于一种“认知错误”——即错把“不可控”的当作“可控”的,以及错把“中立的”当作“善或恶”的。因此,它所追求的“安宁”,并非来自外部世界的顺遂,而是来自内部逻辑的绝对一致和对现实的清醒认知。它是一个要求持续实践、高度自律、甚至反直觉的思想操作系统,其最终目的是在承认外部世界完全不可控的前提下,实现内在精神的绝对自主和安宁。\n#哲学 #心理学 #思维 #认知 #知识 #逻辑\n\n#斯多葛主义 #Stoicism #理性 #情绪管理 #思维模型 #人生哲学 #精神自由 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step-by-step),然后看着它奇迹般地解决那些原本棘手的复杂问题。从数学题到逻辑推理,这句简单的指令仿佛成了一句解锁模型潜能的“咒语”。\n\n但你是否想过,这句咒语为什么如此有效?大多数人可能会直觉地认为,这是给了模型更多的“思考时间”或计算空间来处理问题。然而,一篇名为《从稀疏依赖到稀疏注意力:揭示思维链如何提升Transformer的样本效率》的研究指出,真正的原因远比这更深刻,也更令人惊讶。\n\n本文将揭示这篇论文背后隐藏的四大关键洞见,改变你对思维链(Chain-of-Thought, CoT)的传统认知。\n\n🔥1. 核心优势并非更强大,而是学得快:指数级的样本效率提升\n思维链的首要魔力,并非增强模型的“表达能力”(expressiveness),而在于大幅提升其“学习效率”(sample efficiency)。这听起来可能有些反直觉,因为我们总觉得更强的能力来自于更强的模型结构。但论文的理论证明指出,即便是最简单的单层Transformer模型,也具备足够的表达能力来解决奇偶校验问题。问题在于,它们就是学不会如何去解。\n为了证明这一点,研究者们设计了一个精妙的实验:奇偶校验(Parity)问题。简单来说,就是从一长串二进制数中,找出几个预先设定的“秘密”数字,然后判断这些秘密数字的和是奇数还是偶数。这个问题本身结构简单,但对神经网络来说却是一个经典的难题。\n\n实验结果的对比是惊人的:\n 🎓• 没有CoT的情况: 当模型只能看到问题和最终答案时,实验结果与理论分析都表明,它需要指数级的训练样本才能学会。这意味着,随着问题难度(秘密数字的数量k)的增加,所需的训练数据量会呈爆炸式增长,很快变得不切实际。\n 🎓• 使用CoT的情况: 当研究者将解题步骤(例如,每次只累加一个秘密数字的中间结果)作为CoT提供给模型时,模型仅需近似线性的样本就能轻松学会。正如论文的实验和理论所揭示的,学习效率获得了指数级的提升。\n\n结论:CoT的真正价值在于极大地提升了样本效率。它像一位高效的导师,让模型能用极小的代价,学会那些原本需要海量数据才能掌握的困难任务。\n\n🔥2. 成功的秘诀:稀疏注意力机制\nCoT之所以能实现这种惊人的效率提升,关键在于它为数据引入了一种名为“稀疏的序列依赖关系”(sparse sequential dependence)的特性。当一个复杂问题被分解为CoT的简单步骤后,每一步的计算通常只需要依赖前面内容中的极少数关键信息。例如,在奇偶校验的CoT中,计算第三步的结果只需要第二步的结果和第三个秘密数字,而与其他所有信息无关。\n\n这种稀疏的依赖关系,恰好能够引导Transformer模型内部的注意力机制学会一种高效的工作模式——“稀疏注意力”(Sparse Attention)。模型不再需要漫无目的地关注所有输入,而是学会了将注意力高度集中在少数几个当前步骤最相关的部分上。\n\n论文通过实验清晰地展示了这一点:\n 🎓• 可解释的注意力图: 训练完成后,模型的注意力模式变得异常清晰。从论文实验可以看出,在CoT的每一步计算中,注意力都像激光一样,精确地聚焦到了当前步骤所需的那一个“秘密”数字上,而完全忽略了其他无关的输入。\n 🎓• 注意力熵与准确率的关系: 研究者使用“归一化注意力熵”来衡量注意力的稀疏程度(熵越低,注意力越集中)。他们发现,模型的注意力变得越稀疏,其解决问题的准确率就越高。实验数据明确显示,当注意力熵急剧下降时,模型的准确率会随之跃升至100%。\n\n结论:CoT就像一位导师,教会了模型如何“抓重点”。这种学会聚焦、避免在海量信息中迷失的能力——即稀疏注意力——正是其高效学习的核心机制。\n\n🔥3. 意外发现:没有CoT,模型也能自学稀疏性,但过程极其漫长\n\n如果稀疏注意力真的是关键,那么一个模型即使在没有CoT引导的情况下,也应该只有在它以某种方式自发学会这种稀疏性之后才能成功。研究者们设计了一个巧妙的实验来验证这一点。他们进行了“多轮训练”(Multi-pass Training):在不使用CoT的情况下,让模型在同一个小型数据集上反复、高强度地训练。\n\n结果令人震惊,并且有力地证实了这一假说。首先,经过足够长时间的“死磕”,模型最终竟然也学会了解决奇偶校验问题。通过观察模型内部的变化,研究者发现,成功的转折点同样在于其内部自发地发展出了稀疏的注意力模式。在训练初期,模型表现不佳,注意力熵很高;随后进入一个漫长的平台期,虽然损失函数没有明显下降,但其注意力熵却在持续悄然降低;一旦注意力变得足够稀疏,模型的准确率就会像顿悟一般突然飙升。\n\n而实验中最具颠覆性的发现来自于对不同数据集规模的比较:\n 🎓• 在5万个样本的小数据集上反复训练,模型最终成功了。\n 🎓• 然而,当研究者把数据集扩大到100万个样本时,模型反而失败了。训练损失和注意力熵始终居高不下。\n\n结论:这个反直觉的结果意义重大。它证明了“稀疏注意力”是解决这类问题的根本,而不仅仅是数据量的堆砌。CoT提供了一条高效的“捷径”,直接引导模型走向稀疏性。而没有CoT的“蛮力学习”则像是在黑暗中摸索,虽然可能最终也能跌跌撞撞地找到通往稀疏性的道路,但这个过程缓慢、低效且充满不确定性——甚至更多的数据反而可能成为一种干扰。\n\n🔥4. 从理论到现实:真实世界的大模型同样遵循此道\n以上所有发现,并不仅仅适用于奇偶校验这样的合成问题。研究者们进一步在真实世界的数学问题数据集GSM8K上验证了他们的理论,发现这一机制在真实的大模型上同样适用。\n 🎓• CoT数据诱导稀疏性: 实验结果表明,当一个预训练的通用大模型(如Qwen2-7B)处理带有CoT解题步骤的数学题数据时,其注意力熵显著低于处理没有CoT的“问题-答案对”数据。这证明了真实世界中的CoT数据同样具备引导模型形成稀疏注意力的结构。\n 🎓• CoT微调增强稀疏性: 研究者进一步比较了通用模型(Qwen2-7B)和在数学CoT数据上微调过的专业模型(Qwen2-Math-7B)。结果显示,经过CoT数据微调的数学模型,在处理相同问题时,其注意力模式变得更加稀疏。\n\n结论:CoT引导模型学习稀疏注意力的机制是普适的。无论是处理理论问题还是真实世界的复杂任务,这种机制都在发挥作用。模型不仅能在训练中学会这种高效的推理模式,而且专门针对CoT数据进行优化的模型,会更擅长运用这种能力。\n\n重新理解“思考”的本质\n现在,让我们回到最初的问题:为什么“一步一步地思考”这句咒语如此神奇?\n\n这篇研究给出了一个清晰而深刻的答案:CoT的魔力不在于赋予模型新的超能力,而在于通过引入稀疏的依赖关系,将一个难以学习的问题转化为一个容易学习的问题,从而极大地提升了模型的学习效率。其背后最核心的机制,就是引导模型形成了稀疏和可解释的注意力模式。\n当我们让模型“一步一步思考”时,我们不仅仅是在给它时间,更是在给它一个结构化的、稀疏的思考框架,帮助它学会如何聚焦,如何从复杂性中提炼出关键信息。\n\n这不禁让我们思考一个更深层次的问题:既然我们知道了“稀疏性”是解锁高效推理的关键,那么未来的研究是否能设计出一种全新的模型架构,让它无需依赖“一步一步”的外部提示,就能天生高效地学习和捕捉世界中的稀疏因果关系呢?这或许是通往更强大、更通用人工智能的下一条路径。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-27","value":0,"startTime":1761436800000,"endTime":1761523200000,"tweets":[{"bookmarked":false,"display_text_range":[0,144],"entities":{"hashtags":[{"indices":[878,884],"text":"提示词工程"},{"indices":[885,889],"text":"LLM"},{"indices":[890,895],"text":"AIGC"},{"indices":[896,902],"text":"大语言模型"},{"indices":[903,908],"text":"人工智能"},{"indices":[909,914],"text":"AI研究"},{"indices":[915,933],"text":"PromptEngineering"},{"indices":[934,946],"text":"LLMResearch"},{"indices":[947,952],"text":"AI理论"},{"indices":[953,958],"text":"机器学习"}],"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}]},"favorited":false,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1982308237241446694","view_count":107,"bookmark_count":0,"created_at":1761454087000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1982308237241446694","full_text":"揭开提示工程的神秘面纱\n\n我们在与大型语言模型(LLM)打交道时,“提示工程”常常给人一种近乎“魔法”的印象。\n\n在调教提示词时,我们在依赖直觉和反复试错,像炼金术士一样,通过不断调整措辞、增删词语,试图找到那句能让模型输出最佳结果的“咒语”。这个过程充满了不确定性,但其效果又出奇地好。\n\n这引出了一个深刻的谜题:为什么那些通过手动精心调整,甚至是自动化算法在训练数据上搜索出来的“完美”提示词,不仅在训练数据上表现出色,也往往能在全新的、模型从未见过的数据上表现优异?按照传统机器学习的经验,这种针对训练数据的“过度优化”很容易导致“过拟合”(即模型只是死记硬背了训练样本的答案,而失去了泛化到新问题的能力)。然而,提示工程似乎天然地对这种陷阱免疫,为什么呢?\n\n最新的研究表明提示工程远非简单的反复试错,其背后隐藏着深刻的计算机制和统计学规律。\n\n以下是5个研究结论:\n\n1. 提示词即程序,而非指令。输入提示词是在动态“配置”LLM,即时构建一个“虚拟神经网络”。你的措辞是在“编程”,直接定义网络架构和权重。\n\n2. 单个注意力头具备“万能逼近器”潜力。理论证明,一个注意力头配合精巧的前缀(prefix-tuning),即可模拟任意连续函数。关键是激发核心组件的内在计算力,而非仅依赖模型规模。\n\n3. 手调提示词的泛化保障:自然性。PAC-Bayes理论表明,提示词不易过拟合,因为受“自然语言”约束。一个有效的提示词必须是“自然的”(KL散度低),这限制了其为迎合训练数据而产生的复杂性。\n\n4. 长提示词(CoT)构建更深的“虚拟网络”。“思维链”有效,不只因提供了更多上下文。更长的提示词在功能上构建了更深、更复杂的虚拟计算网络,从而降低复杂任务的近似误差。\n\n5. 无关信息是“灾难”,而非“干扰”。提示词中的“噪声”词元会带来一个无法消除的误差下限。无论有效部分多长,模型性能都会被“卡”在低水平。保持高信噪比是前提,不是优化。\n\n提示词工程正从艺术转向科学。理解其“编程”和“函数逼近”的本质,是系统化设计“超级提示”的基础。\n\n#提示词工程 #LLM #AIGC #大语言模型 #人工智能 #AI研究 #PromptEngineering #LLMResearch #AI理论 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problem)。研究发现,即使是一个简单的单层Transformer,其模型结构也已经具备了表达奇偶校验函数解法的能力。然而,令人惊讶的是,如果没有思维链的引导,模型需要指数级数量的训练样本才能学会这个函数,这在实践中几乎是不可能的。\n相比之下,当为模型提供带有思维链的训练数据时(即包含计算过程的中间步骤),同一个Transformer模型仅需多项式级的样本就能学会。这是一个在样本效率上指数级的提升。正如一篇研究论文所指出的:\n“在不使用CoT时,大语言模型常常在一些简单任务上遇到困难——比如计算‘strawberry’这个单词里有多少个‘r’。考虑到模型尺寸越来越大,这类任务超出其表达能力的上限似乎是不太可能的。”\n这项研究进一步揭示,思维链通过在输入中引入稀疏的序列依赖关系,引导模型学习到稀疏且可解释的注意力模式,这使得模型能将注意力集中在下一步计算所需的少数关键信息上,而不是在庞杂的输入中迷失方向,从而极大地简化了学习过程。这说明,思维链的核心价值之一在于它让模型能更高效地从数据中学会推理,而不是赋予它一种原本不具备的能力。\n\n3. 分步推理使AI在面对信息不完美时更加稳健\n\n现实世界的数据充满了噪声、错误和不完整的信息。无论是人类标注的数据,还是网络上抓取的内容,都很难做到完美无瑕。这对依赖数据学习的AI模型构成了巨大挑战。\n研究表明,在这种不完美的环境下,思维链相比标准的上下文学习(In-Context Learning, ICL)展现出显著的优势。ICL严重依赖于示例的质量——如果示例中的答案是错误的,模型很可能会被误导。然而,思维链的分步过程允许模型超越单个答案的对错,去学习和提取其背后正确的推理过程。\n一项实验有力地证明了这一点:一个使用思维链数据训练的Transformer模型,即使在其30%的训练数据中,中间步骤存在损坏或缺失,最终的推理准确率依然非常高。这意味着,模型能够透过不完美的数据,“领悟”到解决问题的正确逻辑和方法。这种稳健性对于AI在真实世界中的应用至关重要,它使得模型能够从不完美但更接近现实的人类数据中,学习到可靠的推理能力。\n\n4. 从统计学上看,CoT几乎总是更优选择,但“坏思路”可能有害\n\n从统计学的角度看,思维链可以被理解为一种“贝叶斯模型平均”(Bayesian Model Averaging, 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code,后端的模型换做其他,但是不知道效果会不会打折扣?","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":1,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1983562337614520416","view_count":2,"bookmark_count":0,"created_at":1761753088000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983562337614520416","full_text":"北大博士任教985高校三年:考核未过,背着百万房贷离开\n\n“措手不及!”今年元旦刚过,一纸“不再续聘”通知“传”到了36岁的程欣手中。月末就是春节,程欣本打算和妻儿过个好年,却被催促着务必尽快办完离职手续,清空办公室。\n在考核前,他曾多次询问院系相关领导,得到的答案是“无需担心”。因此,他并未着手寻找新的工作,谁知迎来的是冷水浇头。\n\n时间拉回2021年,程欣作为“优秀博士学位论文”的获得者,从北京大学毕业。当时,他一共拿到33个工作offer,最终选择入职了这所心仪的985高校。\n\n程欣经历了许多:入职不到一年,为了完成考核,他不得不放弃深耕10年的方向,转向更“热门”、便于发论文的课题。他曾因教学评价高而获得“教学优秀奖”,还带领本科生拿到“挑战杯”国家级一等奖,但这些对考核毫无助力。\n\n但过去的经历依然历历在目。程欣提出了一个深埋心中的疑问:学术,到底应该被当成一份功利化考量的工作,还是一份理想追求?\n\n以下是他的讲述:\n\n📚启程\n\n2021年夏天,我从北京大学博士毕业,是优秀博士学位论文的获得者。从硕士到博士,我都跟随同一位导师研究社会科学,围绕同一个主题深入做研究,发表了10余篇论文。\n\n我的导师是一位纯粹的研究型学者,整个师门的氛围是潜心学术的。我博士期间的目标就是毕业后成为大学老师,能够做自己感兴趣的研究,同时培养学生。\n\n毕业季,我投出200多封邮件,最后拿到了33个offer,其中包括某Top2大学马克思主义学院、北京一所师范大学的哲学系、承诺给编制的西部某“双一流”大学……\n\n最终,我下定决心入职这所985高校,原因是多方面的。首先是导师的建议和我理想主义的想法——当时,师门里还没有同学去往那座城市,我想做个开拓者;其次,引进我的老师很有人格魅力,我感觉遇到了“伯乐”;此外,虽然合同上写的考核时间只有三年,但我得到的口头承诺是“3+3”,即首聘三年后,若考核未完全达标,学校通常会续聘三年。我想,虽然我的方向偏冷门一点,但6年的时间可以去“拼一把”。\n\n刚入职时,想法是很明确的:教学和科研两条腿走路。那时学校还有一条“教学通道”——如果青年教师在论文发表和课题申请上稍有不足,通过教学依然可以评职称、留下来。\n\n在教学方面,我投入了巨大热情,在2023年拿到了“校教学优秀奖”,并带领本科生团队拿到“挑战杯”国家级一等奖,后者在学院是史无前例的。\n\n在科研方面,我做了一个有点痛苦的决定。入职不到一年,我意识到,坚持原有的冷门方向,意味着不可能达到考核要求。正好有一门热门主题课程的老师临近退休,由我接手。为了转换方向,我跟着本科生坐在教室里,认认真真听了那学期的每一堂课。\n\n我们系的氛围很好,领导、同事给了我许多支持和帮助。经人介绍,我结了婚,把所有存款拿来买了房子,并贷款100多万。我和爱人的收入加起来不高,一个人支撑房贷,一个人支撑生活用度,两个人过着普通的小日子。这样“安稳”的生活,已经让我心满意足。\n\n📚变故\n\n2023年,学校的一纸新政彻底堵死了“教学通道”。其规定,副高职称以下的青年教师,原则上不允许再承担课程教学。实际操作是,学校层面直接取消了我们这些不符合职称要求的青年教师授课排课资格。\n\n我并没有太放在心上,毕竟在校工作期间,我发表了多篇论文,手上还有两篇“已录用”的论文。并且2024年临近考核期时,我反复向院系领导确认,得到的回复是“不用担心,老人老办法,原来的3+3承诺依然生效”。在我之前的老师,有些超出了6年合同期的,还根据情况给他们续了一两年,以达到论文发表要求。因此,我天真地以为自己“没问题”,也没有着手去找新的工作。\n\n2024年12月30日,我做工作答辩。次日,学院发布了对我“不再续聘”的决定,这个通知并未送达我本人,只是发布在公告墙上。两天后,我通过他人得知:我失业了。\n\n失业的第一周,整个人都是崩溃的。我还是会习惯性地拿起书,或打开电脑,但又马上意识到,我没有工作了。当时临近春节,没什么找工作的窗口,我在家发呆了整整一个月,还不时收到“尽快办理离职手续、清空办公室”的催促。\n\n收入断了,孩子出生不久,我还面临还房贷、养家的压力。“醒”来之后,我赶紧抓住春季招聘的窗口。最让我难受的是:我失业时,年龄刚满36岁,有很多好机会却将年龄卡在35岁,我无法申请。\n\n与家人反复商量后,我选择了一所南方沿海城市的高校。这所学校的名气没那么大,但考核要求不高,且薪资是之前的两倍多,还为我们一家三口提供了公寓。\n\n妻子安慰我:“100多万的房贷可以慢慢还,就当没来过,好歹还成了个家。”如今,我们已经举家搬迁到新的城市,从头开始。\n\n📚反思\n\n回头再看,我不禁反思:为何在考核制度下,我成了被淘汰的“不合格产品”?\n\n我必须先替学院的领导、同事说句公道话——他们都是很好的人,无论是工作期间对我的支持,还是找新工作时对我的安慰和帮助。那么,我面临的痛苦究竟来源于哪里呢?\n\n首先,制度存在“不明确地带”且不断变化。我承认,2024年底接受考核时,自己确实没有达到考核要求,即“三年内拿到一个国家级课题(或引进经费至少20万),同时发表至少5篇符合学校要求的期刊论文”。\n\n然而,这些要求是2024年学校的内部文件下发的“新办法”,并未写进我的入职合同,入职时也有“教学通道”和“3+3”的承诺,考核操作是比较“柔和”的。\n\n实际上,一个普通青年教师仅凭“个人”努力,极难甚至绝无可能在三年内达到如此严苛的标准。我和身边的朋友日均工作12~18小时,但大多是“非升即走”的失败者。\n\n我观察发现,高校的人才引进制度已经非常“市场化”了,永远有更年轻、更“卷”的人拿到职称,考核要求水涨船高,没能跟上节奏的“老人”惨遭淘汰。竞争是无情的,许多学校集结大批青年研究人员,学校的排名和论文发表数量大幅提升,但这对青年教师的影响很不好。\n\n其次,论文的发表存在着大片“灰色地带”。作为大学老师,每个星期打开邮箱,都能收到一大堆“代发论文”的邮件,其中期刊的等级被明码标价。\n\n此外,作者的身份职级影响着论文发表。我亲身经历过,一篇论文在投稿时顺利通过审核,马上要发表了,编辑明确告诉我:“找一个正教授挂名,我们马上给你发表。”我当时想了很久,却没舍得,因为那篇论文是我花费很多心血的得意之作。\n\n我们会看到,一位知名学者一年论文的发表量,超过一整所大学。被指出后,这种现象依然没有收敛,反而愈演愈烈。\n\n无论是花钱“买”论文,还是找“大佬”带,都是普通青年教师难以承担的成本。\n\n📚平庸之恶\n\n除了我自己的亲身经历,我还想举三个身边朋友的案例。\n\n我的一位师弟,是大家心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"media":[{"display_url":"pic.x.com/WqskjWwwxp","expanded_url":"https://x.com/Georgeistrue/status/1983563770892112338/photo/1","id_str":"1983563747445919744","indices":[110,133],"media_key":"3_1983563747445919744","media_url_https":"https://pbs.twimg.com/media/G4cIuAvbUAACTwe.jpg","type":"photo","url":"https://t.co/WqskjWwwxp","ext_media_availability":{"status":"Available"},"features":{"large":{"faces"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心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[9,19],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"1164388321545449472","name":"卫斯理","screen_name":"imwsl90","indices":[0,8]}]},"favorited":false,"in_reply_to_screen_name":"imwsl90","lang":"zh","retweeted":false,"fact_check":null,"id":"1983467757141389805","view_count":1325,"bookmark_count":0,"created_at":1761730539000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983458922406236328","full_text":"@imwsl90 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se,"fact_check":null,"id":"1979226402886160397","view_count":118,"bookmark_count":1,"created_at":1760719321000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979226402886160397","full_text":"今天看了一篇文章,是关于“计算机之父”和“人工智能之父”——艾伦·图灵的。\n\n看完之后,我真切地感受到:在科技史最耀眼的光芒背后,藏着人类社会最深的阴影。\n图灵并非完美无瑕的天才。他口吃、内向、不擅交际,常常被同龄人视为怪人。而讽刺的是,正是这种“格格不入”,让他看清了机器与人类思维的边界,也让他在战争中用逻辑和算法击败了纳粹的“恩尼格玛”密码机,拯救了数百万人的生命。\n\n但也是这种“不谙世事”的真诚,害死了他。当他坦率承认自己与男性的恋情时,社会没有给予理解与尊重,反而用法律和化学药剂摧毁了他的身体与尊严。\n\n他用数学奠定了计算机的根基,却被非理性的偏见压垮。\n他为世界争取了未来,却没能在自己的时代被宽恕。\n\n也许,人类真正的考验,不在于能否让机器思考,而在于能否学会以更高的智慧去理解“人”。\n\n🎭艾伦·图灵:编码天空的孤独奔跑者\n艾伦·图灵的一生,像一台他自己构想的通用机器,被输入了两个截然相反的程序。一个程序由纯粹的逻辑、数字和宇宙秩序构成,驱动他奔向人类智识的巅峰,奠定了我们今天整个数字时代的地基;另一个程序则由社会的偏见、法律的冷酷和人性的脆弱写就,将他拖入个人悲剧的深渊,最终在一只浸毒的苹果旁戛然而止。他是一位用思想重塑20世纪的先知,却被他誓死保卫的世界无情地放逐。要理解图灵,我们不仅要追溯他的天才轨迹,更要凝视那个时代投射在他身上的、巨大而扭曲的阴影。\n\n✍️孤独的奔跑者\n艾伦·马西森·图灵于1912年诞生于一个往返于英帝国与印度的家庭,这种疏离的成长环境似乎从一开始就预示了他一生的孤独。他的童年是在陌生的寄宿家庭和冰冷的公学制度中度过的,在那里,他对科学——尤其是化学和数学——近乎本能的热爱,被视为对古典教育的公然挑衅。老师们在评语中抱怨他“无可救药地偏科”,希望他成为一个“受过教育的人,而非仅仅是一个科学家”。然而,图灵的思维早已在另一个维度上奔跑。当同龄人还在背诵拉丁文时,他已经独立领悟了爱因斯坦的相对论,并能从更基础的牛顿定律中推导出对其的质疑。\n\n他的世界是抽象符号和自然规律构成的内在宇宙,现实世界的人际交往则让他显得笨拙、害羞,甚至有些口吃。他是一个长跑爱好者,时常独自一人在乡间小径上奔跑数十公里。这不仅仅是锻炼,更像一种仪式——在肉体的极限疲惫中,他的大脑得以进入最纯粹、最高效的思考状态。奔跑时,世界简化为呼吸的节奏、肌肉的酸痛和脑海中不断旋转的逻辑链条,这正是他所熟悉和热爱的状态。\n\n在这片孤独的智识荒原上,出现过唯一的光源——克里斯托弗·莫尔科姆。他是图灵在舍伯恩公学唯一的知己,一个同样对科学充满热情的少年。他们之间的情感,超越了简单的友谊,是一种深刻的智识共鸣与灵魂契合。他们一同探讨哥德尔不完备定理,争论量子力学的奥秘,梦想着未来在剑桥携手并进。克里斯托弗是图灵与这个格格不入的世界之间唯一的桥梁。然而,1930年,这座桥梁轰然断裂。克里斯托弗因牛结核病猝然离世。\n\n挚友的死亡,成为图灵人生的第一个巨大创伤,也催生了他哲学思考的第一个核心命题。他反复写信给克里斯托弗的母亲,试图用科学的语言去理解那个不可逾越的边界:意识是什么?精神能否独立于肉体而存在?一个人的思维,是否可以被某种机制(Mechanism)所复制和保存?这个问题,如同一个幽灵,贯穿了他此后的全部研究。他不再仅仅满足于解开数学谜题,他要探寻思维本身的奥秘。那个孤独的奔跑者,从此有了一个终极的追问目标——他要用逻辑和机器,去追赶一个逝去挚友的灵魂。\n\n✍️逻辑的宇宙\n克里斯托弗的离去,将图灵彻底推向了纯粹的理论世界。1931年,他进入剑桥大学国王学院,这里自由的学术氛围终于让他如鱼得水。正是在剑桥的草坪与回廊间,图灵完成了他一生中最重要的理论奠基。\n\n20世纪初的数学界,被一个幽灵般的问题所困扰,即大卫·希尔伯特提出的“判定问题”(Entscheidungsproblem):是否存在一个确定的、可机械执行的程序,能够在有限时间内判断任何一个给定的数学命题的真伪?这实际上是在问:数学的边界在哪里?是否存在一个“万能算法”?\n\n年仅24岁的图灵,以一种惊世骇俗的方式回答了这个问题。他没有直接进行数学推演,而是构想出了一台结构异常简单的抽象机器——后世称之为“图灵机”(Turing Machine)。这台机器拥有一条无限长的纸带、一个读写头和一套有限的指令规则。读写头可以在纸带上左右移动、读取符号、擦写符号。图灵证明,任何人类能想到的、符合逻辑的计算过程,无论多么复杂,都可以被这台简单的机器所模拟。\n\n“图灵机”的意义是颠覆性的。首先,他通过证明不存在一台可以判断所有程序是否会停机的“图灵机”,从而举重若轻地宣告了“判定问题”的最终答案:不存在这样的万能算法。数学中存在着机器永远无法判定的“不可计算”领域。其次,也是更重要的,他为“计算”这个模糊的概念提供了一个精确、严格的数学定义。在此之前,人们认为计算是人类心智的活动;在此之后,计算被定义为一种可以被机器执行的符号操作过程。\n\n这篇名为《论可计算数及其在判定问题上的应用》的论文,无意中为整个信息时代画好了蓝图。它是一份关于通用计算机的理论出生证明。图灵向世界宣告,不需要为不同的任务设计不同的机器,一台设计合理的“通用图灵机”就可以通过加载不同的程序(写在纸带上的指令)来模拟任何其他机器,完成任何可计算的任务。从你的笔记本电脑到智能手机,其最底层的逻辑灵魂,都是这台在1936年诞生于一位年轻人脑海中的抽象机器。图灵用纯粹的逻辑,构建了一个全新的、平坦而广阔的计算宇宙。\n\n✍️谜中人\n理论的光辉很快被战争的阴霾所笼罩。第二次世界大战爆发后,图灵被秘密招募至英国的密码破译中心——布莱切利园。在这里,他不再是象牙塔中的理论家,而是一位与时间赛跑、与纳粹德国争夺海上生命线的解码战士。\n\n德国海军使用的“恩尼格玛”(Enigma)密码机,被认为是当时最坚不可摧的加密系统。它每天变更的密钥组合数量高达天文数字,依靠人力计算根本无法破解。布莱切利园汇集了英国最顶尖的语言学家、数学家和逻辑学家,但面对恩尼格玛的铜墙铁壁,最初的进展极其缓慢。\n\n正是在这里,图灵展现了他将抽象理论转化为强大物理工具的惊人能力。他意识到,对抗机器的,必须是更快的机器。基于波兰同行奠定的基础,图灵主导设计了一种巨型机电装置——“炸弹机”(Bombe)。这台机器并非一台通用计算机,而是一种专门的、高速的逻辑搜索引擎。它能模拟数台恩尼格玛机同时运转,通过对截获的德军密文进行高速逻辑排除,在数小时内找出当日的密钥。\n\n在布莱切利园,图灵是一个古怪而核心的存在。他会因为花粉过敏而在夏天戴着防毒面具骑车上班;他会用链条把自己的马克杯锁在暖气片上以防丢失。他缺乏社交技巧,不善言辞,却以不容置疑的智力权威领导着第8小屋(Hut 8)——负责破解德国海军密码的核心部门。他与同事琼·克拉克(Joan Clarke)——一位同样才华横溢的女数学家——之间曾有过短暂的婚约。他向她坦陈了自己的同性恋身份,克拉克表示并不介意,但图灵最终还是认为,这段婚姻对双方而言都将是一个谎言,从而解除了婚约。\n\n图灵和他的团队所取得的胜利是决定性的。历史学家普遍认为,布莱che园的工作,特别是对U型潜艇使用的“鲨鱼”密码的破解,将战争的进程缩短了至少两年,拯救了数以百万计的生命。然而,这一切都发生在绝对的机密之中。战争结束时,图灵无法向任何人言说他的功绩。他是一位匿名的英雄,一个藏在“恩尼格玛”这个巨大谜题背后的谜中人。他帮助世界赢得了胜利,却必须将自己最辉煌的成就,连同他真实的自我,一同锁进沉默的保险箱。\n\n✍️胜利的阴影\n战争的胜利本应是图灵事业的又一个起点。他怀揣着制造一台“电子大脑”——即真正的通用计算机——的雄心,先后加入了国家物理实验室(NPL)和曼彻斯特大学。他详细设计了“自动计算机”(ACE)的方案,其架构远比当时美国的设计更为先进和完整。然而,和平时期的官僚主义和工程实现的缓慢,让他感到窒息。他是一个习惯于思想奔跑的人,却被现实的泥潭拖住了脚步。他的方案被拖延、修改,最终的成果与他最初的设想相去甚远。\n\n与此同时,一种更深的阴影正悄然笼罩他的个人生活。在战后保守的英国,同性恋不仅是道德禁忌,更是刑事犯罪。随着冷战的开启,同性恋者还被视为容易被敌方敲诈勒索的安全隐患。图灵在布莱切利园的涉密背景,使他的个人生活受到了更严密的审视。\n\n他一面在曼彻斯特大学参与“曼彻斯特一号”计算机的早期软件工作,一面提出了后来闻名于世的“图灵测试”,用一个关于“模仿游戏”的思想实验,为“机器能否思考”这一人工智能的终极问题设定了第一个可操作的判断标准。他甚至开始将目光从计算转向生命的奥秘,研究起生物形态发生学,试图用数学方程解释动植物身上斑纹的形成规律,比如豹子为何是斑点而斑马为何是条纹。他正处在另一场科学革命的边缘。\n\n然而,社会留给他的时间已经不多了。胜利的荣光未能照亮他生活的角落,反而让他因为昔日的秘密身份而变得更加危险。那个曾经拯救了国家的人,正在被这个国家步步紧逼,推向悬崖。\n\n✍️被咬了一口的苹果\n悲剧在1952年降临。图灵家中失窃,他向警方报案。在警方的盘问下,不谙世事的他承认了自己与一位19岁青年阿诺德·默里的同性恋关系。盗窃案迅速被搁置,取而代之的是对图灵“严重猥亵”罪的起诉。\n\n在法庭上,图灵没有为自己辩护,他真诚地认为,两个成年人之间自愿的私密行为,不应受到法律的干涉。这种超越时代的坦诚,在当时的法官看来无异于自证其罪。他被判有罪,并面临两个选择:入狱服刑,或者接受“化学阉割”——通过注射雌性激素来“治疗”他的性欲。为了继续他的研究,图灵选择了后者。\n\n这种“治疗”对他而言是毁灭性的。激素注射带来了严重的生理和心理副作用,他身体发胖,精神萎靡,更重要的是,他感到一种深刻的屈辱。那个曾用大脑对抗一个帝国的人,如今连自己的身体都无法掌控。他的安全许可被吊销,被禁止进入曾经奋战过的布莱切利园,甚至在出国旅行时也受到监视。他被曾经服务过的国家,当作一个潜在的叛徒和道德上的病人。\n\n1954年6月7日,图灵被他的女管家发现死在自己的床上,年仅41岁。床头柜上,放着一个被咬了一口的苹果。法医的鉴定结果是氰化物中毒,死因被判定为自杀。那个苹果,似乎是他对自己童年最喜欢的童话《白雪公主》的最后模仿。\n\n然而,关于他的死,至今仍有疑点。他的母亲坚决不相信儿子会自杀,认为这是一场实验意外。图灵的家中本就有一个用氰化物进行电解实验的小实验室。那个苹果是否真的浸毒,或者他是否真的吃了那个苹果,都缺乏决定性的证据。但无论真相是自杀还是意外,一个不争的事实是:一个伟大的头脑,在一个充满偏见和敌意的社会里,被逼到了生命的绝境。那个被咬了一口的苹果,成为了一个永恒的符号,象征着知识的代价、禁忌的诱惑,以及一个天才被时代毒害的悲剧。\n\n✍️数字幽灵的复活\n图灵死后,他的名字在很长一段时间里归于沉寂。由于官方的保密协议,他在战争中的巨大贡献不为世人所知。在计算机科学领域,他的开创性理论也被后来的硬件发展所掩盖。他似乎只是一个名字古怪的数学家,最终因一桩不光彩的丑闻而结束了生命。\n\n然而,思想的种子一旦种下,终将冲破时间的冻土。随着计算机革命的深入和人工智能的兴起,人们越来越频繁地回溯到那个源头。他们震惊地发现,今天数字世界里几乎所有最深刻的概念——算法、通用计算、人工智能——都可以在图灵几十年前的论文中找到清晰的印记。他的“图灵机”成为衡量一切计算能力的理论标尺,“图灵测试”至今仍是人机界限的试金石。\n\n当布莱切利园的档案在70年代解密后,世界更是为之震动。一个被遗忘的战争英雄形象浮出水面。人们终于意识到,那个被当作罪犯处理的人,恰恰是拯救了西方文明的关键人物之一。\n\n迟到的正义,以一种国家级的忏悔形式到来。2009年,时任英国首相戈登·布朗代表政府,为当年对图灵的“骇人听闻的对待”正式道歉。2013年,英国女王伊丽莎白二世颁发皇家赦免令,宣布他的罪名无效。2021年,艾伦·图灵的头像被印在全新的50英镑纸币上,与他设计的“炸弹机”图纸和那句名言并列:“这不过是将来之事的前奏,也是将来之事的影子。”\n\n图灵的灵魂,在他死后半个多世纪,以一种王者归来的姿态,完成了对那个放逐他的世界的“复仇”。他不再是一个悲剧性的人物,而成为一个象征——象征着科学理性的力量,象征着对偏见的抗争,象征着一个超越了自己时代的头脑,最终被未来所拥抱。他的一生,始于孤独的奔跑,如今,全世界都在追随他的步伐,跑向一个由他最先用逻辑编码出的未来。\n\n#艾伦图灵 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“$\\theta$-$\\tau$ 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“theta-tau 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 #传奇人生","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,32],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1979559653236441157","view_count":56,"bookmark_count":0,"created_at":1760798774000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979559653236441157","full_text":"什么是风险?风险就是在你觉得已经考虑周全的时候,被你遗漏的东西。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[7,25],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3178231","name":"宝玉","screen_name":"dotey","indices":[0,6]}]},"favorited":false,"in_reply_to_screen_name":"dotey","lang":"zh","retweeted":false,"fact_check":null,"id":"1979397787453395335","view_count":136,"bookmark_count":0,"created_at":1760760182000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979347434586402977","full_text":"@dotey 我擦,控制不好,一刀下去,耳朵👂没了","in_reply_to_user_id_str":"3178231","in_reply_to_status_id_str":"1979347434586402977","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[10,91],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"44196397","name":"Elon Musk","screen_name":"elonmusk","indices":[0,9]}]},"favorited":false,"in_reply_to_screen_name":"elonmusk","lang":"en","retweeted":false,"fact_check":null,"id":"1979483972192309357","view_count":54,"bookmark_count":0,"created_at":1760780730000,"favorite_count":7,"quote_count":0,"reply_count":0,"retweet_count":1,"user_id_str":"871838994002321410","conversation_id_str":"1979431839824777673","full_text":"@elonmusk I suppose if it can help me \"grok\" why I can never get out of bed in the morning.","in_reply_to_user_id_str":"44196397","in_reply_to_status_id_str":"1979431839824777673","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,42],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3122661542","name":"Yangyi","screen_name":"Yangyixxxx","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"Yangyixxxx","lang":"zh","retweeted":false,"fact_check":null,"id":"1979510334013775937","view_count":232,"bookmark_count":0,"created_at":1760787015000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979496155571732763","full_text":"@Yangyixxxx 谷歌账号为啥还要囤?随时注册随时有吧?难道后面会限制注册吗?","in_reply_to_user_id_str":"3122661542","in_reply_to_status_id_str":"1979496155571732763","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,72],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"885086674828578816","name":"Mr Panda","screen_name":"PandaTalk8","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"PandaTalk8","lang":"zh","retweeted":false,"fact_check":null,"id":"1979551640287089135","view_count":623,"bookmark_count":1,"created_at":1760796863000,"favorite_count":3,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979427457158779383","full_text":"@PandaTalk8 是的,这也是我喜欢用cursor的原因,可以设置,把每一步做的修改展示出来,手动确认,虽然效率低点,但是进步也是飞快的。","in_reply_to_user_id_str":"885086674828578816","in_reply_to_status_id_str":"1979427457158779383","is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-20","value":17,"startTime":1760832000000,"endTime":1760918400000,"tweets":[{"bookmarked":false,"display_text_range":[0,82],"entities":{"hashtags":[{"indices":[3292,3295],"text":"哲学"},{"indices":[3296,3300],"text":"心理学"},{"indices":[3301,3304],"text":"思维"},{"indices":[3305,3308],"text":"认知"},{"indices":[3309,3312],"text":"知识"},{"indices":[3313,3316],"text":"逻辑"},{"indices":[3318,3324],"text":"斯多葛主义"},{"indices":[3325,3334],"text":"Stoicism"},{"indices":[3335,3338],"text":"理性"},{"indices":[3339,3344],"text":"情绪管理"},{"indices":[3345,3350],"text":"思维模型"},{"indices":[3351,3356],"text":"人生哲学"},{"indices":[3357,3362],"text":"精神自由"},{"indices":[3363,3367],"text":"控制力"}],"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}]},"favorited":true,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1979903286498209903","view_count":96,"bookmark_count":1,"created_at":1760880702000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979903286498209903","full_text":"最近几天中国军方发生的新闻,想必大家都看到了,被处罚的当事人肯定会发生剧烈的心理波动。\n\n不仅仅是新闻中的当事人,甚至我们自己的遇到各种变动时,心理上也会产生波动。\n\n今天不谈新闻的本身,只聊一个西方的哲学理念“斯多葛主义”,即,如何在“个体意志”与“外部现实”之间发生剧烈冲突时,采用有效的方式缓解这种心理波动。\n\n🍯题设是这样的:\n一位在职业生涯中投入了数十年心血的人,因一次不可预测的市场动荡或内部权力重组,突然发现自己被边缘化或彻底清退。他所构建的身份认同、社会地位和经济保障似乎在一夜之间崩塌。\n\n这种经历带来的冲击,不仅仅是身份和地位的丧失,更是一种深刻的“存在性眩晕”。个体被迫直面一个事实:他所依赖的、用以定义自我价值的一切(认可、成功、财富、他人的看法),其本质是脆弱的、不可预测的,并且完全处在外部力量的掌控之下。\n\n这种“个体意志”与“外部现实”之间的剧烈冲突,揭示了一个贯穿人类经验的根本性抽象问题:当个体追求的东西完全依赖于外部环境的恩赐时,人类的心智系统如何可能维持稳定、理性和内在的安宁?\n\n斯多葛主义(Stoicism)——一个源自古希腊和罗马的、历经数百年锤炼的思想体系——正是为系统性地回应这一“存在性脆弱”问题而构建的。它并非一套旨在提供短暂安慰的“积极思维”,而是一个严谨的、近乎苛刻的、基于逻辑的认知操作系统。其唯一目标是,通过重新校准个体对“控制”、“价值”和“现实”的根本定义,来锻造一种不受外部命运波动所侵扰的精神自由(即人类的繁荣或至善)。\n\n这里拆解斯多葛主义的三个核心运作原则,以阐明这一思想体系如何对人类的苦难进行“诊断”,并提供一个内在框架。\n\n🎯核心原则一:控制二分法\n☯️1. 概念阐述:斯多葛主义的逻辑起点是对人类所有经验进行绝对的、无条件的分类。这一原则(以爱比克泰德的论述最为著名)主张,世间万物被清晰地划分为两大类:第一类是“我们能完全控制的”,第二类是“我们无法完全控制的”。 “可控的”事物仅限于我们内在的心智活动:我们的判断、我们的意图(或意志)、我们的欲望和我们的厌恶。 “不可控的”事物则包括其他一切:我们的身体(健康或疾病)、我们的财产、我们的声誉、他人的行为、以及最终的死亡。 斯多葛主义的纪律要求个体将100%的认知资源和意志力,仅用于前者;并对后者培养一种理性的、不动声色的“接纳”。\n\n☯️2. 现实现象:一个极端的例证是詹姆斯·斯托克代尔(一位爱比克泰德的研究者)的经历。作为一名战俘,他在越南被关押了七年半,经历了长期的酷刑、单独监禁和完全的不确定性。在这种情境下,个体对外部世界(释放日期、身体待遇、生存环境)的控制权被剥夺至零。许多意志薄弱的战俘在这种情况下彻底崩溃,因为他们将“希望”定义为“明年圣诞节前被释放”或“停止酷刑”。\n\n☯️3. 解决方式:斯多葛主义分析指出,传统意义上的“希望”在此刻是有害的,因为它将精神的安宁锚定在一个“不可控”的外部事件上。斯托克代尔的幸存,依赖于“控制二分法”的严格应用。 他清醒地认识到,他无法控制“是否被释放”或“是否被折磨”,但他100%地控制着“他如何回应折磨”、“他是否出卖情报”以及“他是否保持内心的尊严”。 通过将“希望”的定义从“获得自由”(不可控)转移到“有尊严地承受监禁”(可控),他重新定义了“胜利”的战场。这一原则的内在逻辑是:它是一个防御性的认知防火墙。它通过主动放弃对“不可控领域”的无效投资(焦虑、恐惧、徒劳的希望),将个体的能动性完全集中在唯一真正属于他的领域——他自己的意志和判断。\n\n🎯核心原则 二:价值的中立性\n☯️1. 概念阐述:这是“控制二分法”的必然推论。如果一件事物是“不可控的”,那么根据斯多葛主义的逻辑,它在“道德”上必须是中立的。这意味着,所有“不可控”的事物——包括健康、财富、痛苦、声誉甚至死亡——本身既不是“善”,也不是“恶”。它们被统称为“无关紧要之物”(或称“中立物”)。 唯一的“善”是“美德”(即理性的、符合自然和正义的判断与行为);唯一的“恶”是“恶习”(即非理性的、错误的判断与行为)。 当然,斯多葛主义承认某些“中立物”是“可取的”(如健康、财富),而另一些是“不可取的”(如疾病、贫穷),但它们绝对不能被提升到“善”或“恶”的高度。\n\n☯️2. 现实现象:以“社会声誉”为例。在当代社会,个体常常因社交媒体上的负面评价、公开的批评职业污点而经历极端的心理痛苦,甚至导致“社会性死亡”的恐惧。个体的自我价值感与“他人的看法”(一种经典的“不可控”外部事物)被深度绑定。一个负面的匿名评论,足以摧毁一个人一天的安宁。\n\n☯️3. 解决方式:斯多葛主义对这种痛苦的“诊断”是,个体犯了一个致命的“范畴错误”。他错误地将“声誉”(一个“中立物”)当作了“善”本身。 这一原则的逻辑功能是“价值重估”。它系统性地剥离了外部事物上的“道德标签”。如果声誉是“中立的”,那么他人的赞美(可取的)和诋毁(不可取的)都不能增加或减少你作为理性个体的核心价值(即你的美德)。 这种价值体系的转换,其目的是“切断”外部事件与内部安宁之间的直接因果链。如果“坏名声”不是一种“恶”,那么对它的恐惧就是非理性的。这种逻辑操练旨在实现一种极端的心理独立:个体的价值感完全自给自足,仅由其“内在美德”来定义,从而对外部的赞誉或谴责“免疫”。\n\n🎯核心原则三:认知的首要性\n☯️1. 概念阐述:如果说前两个原则是“世界观”的设定,那么第三个原则就是“心理实践”的核心机制。斯多葛主义认为,使我们陷入混乱和痛苦的,不是“事件”本身,而是我们对这些事件的“判断”或“看法”。 一个外部事件(例如,引言中提到的“身份突变”)本身只是一个“中立”的事实。它之所以造成痛苦,是因为个体立即对其附加了一个判断,如:“这是一场灾难”、“我的人生失败了”、“我一文不值”。 斯多葛主义的核心训练,就是“同意的训练”——在“刺激”(外部事件)和“反应”(情绪痛苦)之间,强行插入一个“认知审查”的步骤。\n\n☯️2. 现实现象:以“突发性丧失”为例,例如亲人的骤然离世。这是人类经验中最深刻的痛苦之一。即时的、压倒性的心理作用是:“这是无法承受的”、“这是世界上最痛苦的时刻”、“我的生活彻底失去了希望”。这种印象会立即引发剧烈的悲痛。\n\n☯️3. 解决方式:斯多葛主义在此处展现了其最“临床”的一面。它不否认生理的痛苦或情感的冲击(这些被视为自然的、“不可取的”中立物)。但它严格地分析上述的“判断”。 它会系统性地质询这些判断:“死亡”是一个“不可控”的自然事件吗?是的。根据原则二,它是一种“恶”吗?不是(它是一个“中立物”,尽管是“不可取的”)。那么,“我的生活彻底失去了希望”这个判断是基于现实的吗?不是,它是一个基于“错误价值认定”的非理性“同意”。 这种内在逻辑的运作,不是为了“消除”悲伤,而是为了“拒绝”由非理性判断所导致的、具有毁灭性的“激情”。它旨在将情感反应限制在对其“不可取的中立物”的自然反应上,同时防止这种反应升级为对“自我”和“现实”的毁灭性哲学判决。这一原则是该系统的执行程序,旨在通过审查和修正“判断”,来保护心智的“指挥中心”免受非理性情绪的颠覆。\n\n斯多葛主义不是一套用于“感觉良好”的安慰性信条,而是一个旨在彻底“重塑”个体认知结构和价值体系的训练思想。它首先通过“控制二分法”划定意志的边界;接着通过“价值中立性”剥离外部事物的道德属性;最后通过“认知的首要性”提供一套实时的“判断审查”工具。\n\n这一思想体系的激进之处在于,它将人类所有的“苦难”最终归因于一种“认知错误”——即错把“不可控”的当作“可控”的,以及错把“中立的”当作“善或恶”的。因此,它所追求的“安宁”,并非来自外部世界的顺遂,而是来自内部逻辑的绝对一致和对现实的清醒认知。它是一个要求持续实践、高度自律、甚至反直觉的思想操作系统,其最终目的是在承认外部世界完全不可控的前提下,实现内在精神的绝对自主和安宁。\n#哲学 #心理学 #思维 #认知 #知识 #逻辑\n\n#斯多葛主义 #Stoicism #理性 #情绪管理 #思维模型 #人生哲学 #精神自由 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step-by-step),然后看着它奇迹般地解决那些原本棘手的复杂问题。从数学题到逻辑推理,这句简单的指令仿佛成了一句解锁模型潜能的“咒语”。\n\n但你是否想过,这句咒语为什么如此有效?大多数人可能会直觉地认为,这是给了模型更多的“思考时间”或计算空间来处理问题。然而,一篇名为《从稀疏依赖到稀疏注意力:揭示思维链如何提升Transformer的样本效率》的研究指出,真正的原因远比这更深刻,也更令人惊讶。\n\n本文将揭示这篇论文背后隐藏的四大关键洞见,改变你对思维链(Chain-of-Thought, CoT)的传统认知。\n\n🔥1. 核心优势并非更强大,而是学得快:指数级的样本效率提升\n思维链的首要魔力,并非增强模型的“表达能力”(expressiveness),而在于大幅提升其“学习效率”(sample efficiency)。这听起来可能有些反直觉,因为我们总觉得更强的能力来自于更强的模型结构。但论文的理论证明指出,即便是最简单的单层Transformer模型,也具备足够的表达能力来解决奇偶校验问题。问题在于,它们就是学不会如何去解。\n为了证明这一点,研究者们设计了一个精妙的实验:奇偶校验(Parity)问题。简单来说,就是从一长串二进制数中,找出几个预先设定的“秘密”数字,然后判断这些秘密数字的和是奇数还是偶数。这个问题本身结构简单,但对神经网络来说却是一个经典的难题。\n\n实验结果的对比是惊人的:\n 🎓• 没有CoT的情况: 当模型只能看到问题和最终答案时,实验结果与理论分析都表明,它需要指数级的训练样本才能学会。这意味着,随着问题难度(秘密数字的数量k)的增加,所需的训练数据量会呈爆炸式增长,很快变得不切实际。\n 🎓• 使用CoT的情况: 当研究者将解题步骤(例如,每次只累加一个秘密数字的中间结果)作为CoT提供给模型时,模型仅需近似线性的样本就能轻松学会。正如论文的实验和理论所揭示的,学习效率获得了指数级的提升。\n\n结论:CoT的真正价值在于极大地提升了样本效率。它像一位高效的导师,让模型能用极小的代价,学会那些原本需要海量数据才能掌握的困难任务。\n\n🔥2. 成功的秘诀:稀疏注意力机制\nCoT之所以能实现这种惊人的效率提升,关键在于它为数据引入了一种名为“稀疏的序列依赖关系”(sparse sequential dependence)的特性。当一个复杂问题被分解为CoT的简单步骤后,每一步的计算通常只需要依赖前面内容中的极少数关键信息。例如,在奇偶校验的CoT中,计算第三步的结果只需要第二步的结果和第三个秘密数字,而与其他所有信息无关。\n\n这种稀疏的依赖关系,恰好能够引导Transformer模型内部的注意力机制学会一种高效的工作模式——“稀疏注意力”(Sparse Attention)。模型不再需要漫无目的地关注所有输入,而是学会了将注意力高度集中在少数几个当前步骤最相关的部分上。\n\n论文通过实验清晰地展示了这一点:\n 🎓• 可解释的注意力图: 训练完成后,模型的注意力模式变得异常清晰。从论文实验可以看出,在CoT的每一步计算中,注意力都像激光一样,精确地聚焦到了当前步骤所需的那一个“秘密”数字上,而完全忽略了其他无关的输入。\n 🎓• 注意力熵与准确率的关系: 研究者使用“归一化注意力熵”来衡量注意力的稀疏程度(熵越低,注意力越集中)。他们发现,模型的注意力变得越稀疏,其解决问题的准确率就越高。实验数据明确显示,当注意力熵急剧下降时,模型的准确率会随之跃升至100%。\n\n结论:CoT就像一位导师,教会了模型如何“抓重点”。这种学会聚焦、避免在海量信息中迷失的能力——即稀疏注意力——正是其高效学习的核心机制。\n\n🔥3. 意外发现:没有CoT,模型也能自学稀疏性,但过程极其漫长\n\n如果稀疏注意力真的是关键,那么一个模型即使在没有CoT引导的情况下,也应该只有在它以某种方式自发学会这种稀疏性之后才能成功。研究者们设计了一个巧妙的实验来验证这一点。他们进行了“多轮训练”(Multi-pass Training):在不使用CoT的情况下,让模型在同一个小型数据集上反复、高强度地训练。\n\n结果令人震惊,并且有力地证实了这一假说。首先,经过足够长时间的“死磕”,模型最终竟然也学会了解决奇偶校验问题。通过观察模型内部的变化,研究者发现,成功的转折点同样在于其内部自发地发展出了稀疏的注意力模式。在训练初期,模型表现不佳,注意力熵很高;随后进入一个漫长的平台期,虽然损失函数没有明显下降,但其注意力熵却在持续悄然降低;一旦注意力变得足够稀疏,模型的准确率就会像顿悟一般突然飙升。\n\n而实验中最具颠覆性的发现来自于对不同数据集规模的比较:\n 🎓• 在5万个样本的小数据集上反复训练,模型最终成功了。\n 🎓• 然而,当研究者把数据集扩大到100万个样本时,模型反而失败了。训练损失和注意力熵始终居高不下。\n\n结论:这个反直觉的结果意义重大。它证明了“稀疏注意力”是解决这类问题的根本,而不仅仅是数据量的堆砌。CoT提供了一条高效的“捷径”,直接引导模型走向稀疏性。而没有CoT的“蛮力学习”则像是在黑暗中摸索,虽然可能最终也能跌跌撞撞地找到通往稀疏性的道路,但这个过程缓慢、低效且充满不确定性——甚至更多的数据反而可能成为一种干扰。\n\n🔥4. 从理论到现实:真实世界的大模型同样遵循此道\n以上所有发现,并不仅仅适用于奇偶校验这样的合成问题。研究者们进一步在真实世界的数学问题数据集GSM8K上验证了他们的理论,发现这一机制在真实的大模型上同样适用。\n 🎓• CoT数据诱导稀疏性: 实验结果表明,当一个预训练的通用大模型(如Qwen2-7B)处理带有CoT解题步骤的数学题数据时,其注意力熵显著低于处理没有CoT的“问题-答案对”数据。这证明了真实世界中的CoT数据同样具备引导模型形成稀疏注意力的结构。\n 🎓• CoT微调增强稀疏性: 研究者进一步比较了通用模型(Qwen2-7B)和在数学CoT数据上微调过的专业模型(Qwen2-Math-7B)。结果显示,经过CoT数据微调的数学模型,在处理相同问题时,其注意力模式变得更加稀疏。\n\n结论:CoT引导模型学习稀疏注意力的机制是普适的。无论是处理理论问题还是真实世界的复杂任务,这种机制都在发挥作用。模型不仅能在训练中学会这种高效的推理模式,而且专门针对CoT数据进行优化的模型,会更擅长运用这种能力。\n\n重新理解“思考”的本质\n现在,让我们回到最初的问题:为什么“一步一步地思考”这句咒语如此神奇?\n\n这篇研究给出了一个清晰而深刻的答案:CoT的魔力不在于赋予模型新的超能力,而在于通过引入稀疏的依赖关系,将一个难以学习的问题转化为一个容易学习的问题,从而极大地提升了模型的学习效率。其背后最核心的机制,就是引导模型形成了稀疏和可解释的注意力模式。\n当我们让模型“一步一步思考”时,我们不仅仅是在给它时间,更是在给它一个结构化的、稀疏的思考框架,帮助它学会如何聚焦,如何从复杂性中提炼出关键信息。\n\n这不禁让我们思考一个更深层次的问题:既然我们知道了“稀疏性”是解锁高效推理的关键,那么未来的研究是否能设计出一种全新的模型架构,让它无需依赖“一步一步”的外部提示,就能天生高效地学习和捕捉世界中的稀疏因果关系呢?这或许是通往更强大、更通用人工智能的下一条路径。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-27","value":2,"startTime":1761436800000,"endTime":1761523200000,"tweets":[{"bookmarked":false,"display_text_range":[0,144],"entities":{"hashtags":[{"indices":[878,884],"text":"提示词工程"},{"indices":[885,889],"text":"LLM"},{"indices":[890,895],"text":"AIGC"},{"indices":[896,902],"text":"大语言模型"},{"indices":[903,908],"text":"人工智能"},{"indices":[909,914],"text":"AI研究"},{"indices":[915,933],"text":"PromptEngineering"},{"indices":[934,946],"text":"LLMResearch"},{"indices":[947,952],"text":"AI理论"},{"indices":[953,958],"text":"机器学习"}],"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}]},"favorited":false,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1982308237241446694","view_count":107,"bookmark_count":0,"created_at":1761454087000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1982308237241446694","full_text":"揭开提示工程的神秘面纱\n\n我们在与大型语言模型(LLM)打交道时,“提示工程”常常给人一种近乎“魔法”的印象。\n\n在调教提示词时,我们在依赖直觉和反复试错,像炼金术士一样,通过不断调整措辞、增删词语,试图找到那句能让模型输出最佳结果的“咒语”。这个过程充满了不确定性,但其效果又出奇地好。\n\n这引出了一个深刻的谜题:为什么那些通过手动精心调整,甚至是自动化算法在训练数据上搜索出来的“完美”提示词,不仅在训练数据上表现出色,也往往能在全新的、模型从未见过的数据上表现优异?按照传统机器学习的经验,这种针对训练数据的“过度优化”很容易导致“过拟合”(即模型只是死记硬背了训练样本的答案,而失去了泛化到新问题的能力)。然而,提示工程似乎天然地对这种陷阱免疫,为什么呢?\n\n最新的研究表明提示工程远非简单的反复试错,其背后隐藏着深刻的计算机制和统计学规律。\n\n以下是5个研究结论:\n\n1. 提示词即程序,而非指令。输入提示词是在动态“配置”LLM,即时构建一个“虚拟神经网络”。你的措辞是在“编程”,直接定义网络架构和权重。\n\n2. 单个注意力头具备“万能逼近器”潜力。理论证明,一个注意力头配合精巧的前缀(prefix-tuning),即可模拟任意连续函数。关键是激发核心组件的内在计算力,而非仅依赖模型规模。\n\n3. 手调提示词的泛化保障:自然性。PAC-Bayes理论表明,提示词不易过拟合,因为受“自然语言”约束。一个有效的提示词必须是“自然的”(KL散度低),这限制了其为迎合训练数据而产生的复杂性。\n\n4. 长提示词(CoT)构建更深的“虚拟网络”。“思维链”有效,不只因提供了更多上下文。更长的提示词在功能上构建了更深、更复杂的虚拟计算网络,从而降低复杂任务的近似误差。\n\n5. 无关信息是“灾难”,而非“干扰”。提示词中的“噪声”词元会带来一个无法消除的误差下限。无论有效部分多长,模型性能都会被“卡”在低水平。保持高信噪比是前提,不是优化。\n\n提示词工程正从艺术转向科学。理解其“编程”和“函数逼近”的本质,是系统化设计“超级提示”的基础。\n\n#提示词工程 #LLM #AIGC #大语言模型 #人工智能 #AI研究 #PromptEngineering #LLMResearch #AI理论 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problem)。研究发现,即使是一个简单的单层Transformer,其模型结构也已经具备了表达奇偶校验函数解法的能力。然而,令人惊讶的是,如果没有思维链的引导,模型需要指数级数量的训练样本才能学会这个函数,这在实践中几乎是不可能的。\n相比之下,当为模型提供带有思维链的训练数据时(即包含计算过程的中间步骤),同一个Transformer模型仅需多项式级的样本就能学会。这是一个在样本效率上指数级的提升。正如一篇研究论文所指出的:\n“在不使用CoT时,大语言模型常常在一些简单任务上遇到困难——比如计算‘strawberry’这个单词里有多少个‘r’。考虑到模型尺寸越来越大,这类任务超出其表达能力的上限似乎是不太可能的。”\n这项研究进一步揭示,思维链通过在输入中引入稀疏的序列依赖关系,引导模型学习到稀疏且可解释的注意力模式,这使得模型能将注意力集中在下一步计算所需的少数关键信息上,而不是在庞杂的输入中迷失方向,从而极大地简化了学习过程。这说明,思维链的核心价值之一在于它让模型能更高效地从数据中学会推理,而不是赋予它一种原本不具备的能力。\n\n3. 分步推理使AI在面对信息不完美时更加稳健\n\n现实世界的数据充满了噪声、错误和不完整的信息。无论是人类标注的数据,还是网络上抓取的内容,都很难做到完美无瑕。这对依赖数据学习的AI模型构成了巨大挑战。\n研究表明,在这种不完美的环境下,思维链相比标准的上下文学习(In-Context Learning, ICL)展现出显著的优势。ICL严重依赖于示例的质量——如果示例中的答案是错误的,模型很可能会被误导。然而,思维链的分步过程允许模型超越单个答案的对错,去学习和提取其背后正确的推理过程。\n一项实验有力地证明了这一点:一个使用思维链数据训练的Transformer模型,即使在其30%的训练数据中,中间步骤存在损坏或缺失,最终的推理准确率依然非常高。这意味着,模型能够透过不完美的数据,“领悟”到解决问题的正确逻辑和方法。这种稳健性对于AI在真实世界中的应用至关重要,它使得模型能够从不完美但更接近现实的人类数据中,学习到可靠的推理能力。\n\n4. 从统计学上看,CoT几乎总是更优选择,但“坏思路”可能有害\n\n从统计学的角度看,思维链可以被理解为一种“贝叶斯模型平均”(Bayesian Model Averaging, BMA)。简单来说,模型会根据示例中提供的信息(包括问题、中间步骤和答案),推断出许多种可能的潜在“任务”或“概念”,然后将这些可能性进行加权平均,从而做出最终的预测。\n基于这个框架,理论分析得出了一个非常强有力的结论:在所有可能的任务和提示的平均情况下,提供中间步骤(CoT)的表现永远优于或等于只提供最终答案(标准ICL)。这是因为中间步骤提供了关于潜在任务的额外信息,减少了不确定性,从而帮助模型形成更准确的“后验信念”。\n然而,这里有一个至关重要的警告:这种优势是在平均意义上成立的。对于一个特定的任务,如果提供的中间步骤包含误导性或不相关的信息,反而可能会损害模型的性能。一个名为“CityEquation”的实验清晰地展示了这一点:任务是计算两个城市经度的和,如果在思维链中同时提供了相关的经度信息和不相关的城市人口信息,模型的表现会因为这些“坏思路”的干扰而下降。\n这个发现告诉我们,虽然鼓励AI“展示其工作过程”在统计上是一个稳妥的策略,但这个过程的质量和相关性至关重要。提供清晰、相关、高质量的推理步骤才能最大化思维链的优势。\n\n通过揭示思维链背后的机制,我们看到了AI推理能力提升的几个事实真相:它不只是一个提示技巧,而是一种根本性的计算模式转变;它极大地提高了模型的学习效率,而非仅仅增强其表达能力;它赋予了模型在不完美数据中学习的稳健性;并且它在统计上是一个更优的策略,尽管需要警惕“坏思路”的干扰。\n这些发现标志着我们对AI训练理念的转变——从仅仅教会模型答案“是什么”,到引导它们学习“如何”一步步地得到答案。这不仅仅是技术的进步,更引发了我们对AI能力提升的深刻思考。\n\n#思维链 #ChainOfThought #AI推理 #AIFuture #计算革命 \n#CoT #ReasoningAI #LLM #Transformer #人工智能 #AI革命 \n#AI思考 #AI研究 #AI学习效率 #推理能力 #可解释性AI \n#AI思维链 #AI创新 #AI理论 #AI趋势 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code,后端的模型换做其他,但是不知道效果会不会打折扣?","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":1,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1983562337614520416","view_count":2,"bookmark_count":0,"created_at":1761753088000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983562337614520416","full_text":"北大博士任教985高校三年:考核未过,背着百万房贷离开\n\n“措手不及!”今年元旦刚过,一纸“不再续聘”通知“传”到了36岁的程欣手中。月末就是春节,程欣本打算和妻儿过个好年,却被催促着务必尽快办完离职手续,清空办公室。\n在考核前,他曾多次询问院系相关领导,得到的答案是“无需担心”。因此,他并未着手寻找新的工作,谁知迎来的是冷水浇头。\n\n时间拉回2021年,程欣作为“优秀博士学位论文”的获得者,从北京大学毕业。当时,他一共拿到33个工作offer,最终选择入职了这所心仪的985高校。\n\n程欣经历了许多:入职不到一年,为了完成考核,他不得不放弃深耕10年的方向,转向更“热门”、便于发论文的课题。他曾因教学评价高而获得“教学优秀奖”,还带领本科生拿到“挑战杯”国家级一等奖,但这些对考核毫无助力。\n\n但过去的经历依然历历在目。程欣提出了一个深埋心中的疑问:学术,到底应该被当成一份功利化考量的工作,还是一份理想追求?\n\n以下是他的讲述:\n\n📚启程\n\n2021年夏天,我从北京大学博士毕业,是优秀博士学位论文的获得者。从硕士到博士,我都跟随同一位导师研究社会科学,围绕同一个主题深入做研究,发表了10余篇论文。\n\n我的导师是一位纯粹的研究型学者,整个师门的氛围是潜心学术的。我博士期间的目标就是毕业后成为大学老师,能够做自己感兴趣的研究,同时培养学生。\n\n毕业季,我投出200多封邮件,最后拿到了33个offer,其中包括某Top2大学马克思主义学院、北京一所师范大学的哲学系、承诺给编制的西部某“双一流”大学……\n\n最终,我下定决心入职这所985高校,原因是多方面的。首先是导师的建议和我理想主义的想法——当时,师门里还没有同学去往那座城市,我想做个开拓者;其次,引进我的老师很有人格魅力,我感觉遇到了“伯乐”;此外,虽然合同上写的考核时间只有三年,但我得到的口头承诺是“3+3”,即首聘三年后,若考核未完全达标,学校通常会续聘三年。我想,虽然我的方向偏冷门一点,但6年的时间可以去“拼一把”。\n\n刚入职时,想法是很明确的:教学和科研两条腿走路。那时学校还有一条“教学通道”——如果青年教师在论文发表和课题申请上稍有不足,通过教学依然可以评职称、留下来。\n\n在教学方面,我投入了巨大热情,在2023年拿到了“校教学优秀奖”,并带领本科生团队拿到“挑战杯”国家级一等奖,后者在学院是史无前例的。\n\n在科研方面,我做了一个有点痛苦的决定。入职不到一年,我意识到,坚持原有的冷门方向,意味着不可能达到考核要求。正好有一门热门主题课程的老师临近退休,由我接手。为了转换方向,我跟着本科生坐在教室里,认认真真听了那学期的每一堂课。\n\n我们系的氛围很好,领导、同事给了我许多支持和帮助。经人介绍,我结了婚,把所有存款拿来买了房子,并贷款100多万。我和爱人的收入加起来不高,一个人支撑房贷,一个人支撑生活用度,两个人过着普通的小日子。这样“安稳”的生活,已经让我心满意足。\n\n📚变故\n\n2023年,学校的一纸新政彻底堵死了“教学通道”。其规定,副高职称以下的青年教师,原则上不允许再承担课程教学。实际操作是,学校层面直接取消了我们这些不符合职称要求的青年教师授课排课资格。\n\n我并没有太放在心上,毕竟在校工作期间,我发表了多篇论文,手上还有两篇“已录用”的论文。并且2024年临近考核期时,我反复向院系领导确认,得到的回复是“不用担心,老人老办法,原来的3+3承诺依然生效”。在我之前的老师,有些超出了6年合同期的,还根据情况给他们续了一两年,以达到论文发表要求。因此,我天真地以为自己“没问题”,也没有着手去找新的工作。\n\n2024年12月30日,我做工作答辩。次日,学院发布了对我“不再续聘”的决定,这个通知并未送达我本人,只是发布在公告墙上。两天后,我通过他人得知:我失业了。\n\n失业的第一周,整个人都是崩溃的。我还是会习惯性地拿起书,或打开电脑,但又马上意识到,我没有工作了。当时临近春节,没什么找工作的窗口,我在家发呆了整整一个月,还不时收到“尽快办理离职手续、清空办公室”的催促。\n\n收入断了,孩子出生不久,我还面临还房贷、养家的压力。“醒”来之后,我赶紧抓住春季招聘的窗口。最让我难受的是:我失业时,年龄刚满36岁,有很多好机会却将年龄卡在35岁,我无法申请。\n\n与家人反复商量后,我选择了一所南方沿海城市的高校。这所学校的名气没那么大,但考核要求不高,且薪资是之前的两倍多,还为我们一家三口提供了公寓。\n\n妻子安慰我:“100多万的房贷可以慢慢还,就当没来过,好歹还成了个家。”如今,我们已经举家搬迁到新的城市,从头开始。\n\n📚反思\n\n回头再看,我不禁反思:为何在考核制度下,我成了被淘汰的“不合格产品”?\n\n我必须先替学院的领导、同事说句公道话——他们都是很好的人,无论是工作期间对我的支持,还是找新工作时对我的安慰和帮助。那么,我面临的痛苦究竟来源于哪里呢?\n\n首先,制度存在“不明确地带”且不断变化。我承认,2024年底接受考核时,自己确实没有达到考核要求,即“三年内拿到一个国家级课题(或引进经费至少20万),同时发表至少5篇符合学校要求的期刊论文”。\n\n然而,这些要求是2024年学校的内部文件下发的“新办法”,并未写进我的入职合同,入职时也有“教学通道”和“3+3”的承诺,考核操作是比较“柔和”的。\n\n实际上,一个普通青年教师仅凭“个人”努力,极难甚至绝无可能在三年内达到如此严苛的标准。我和身边的朋友日均工作12~18小时,但大多是“非升即走”的失败者。\n\n我观察发现,高校的人才引进制度已经非常“市场化”了,永远有更年轻、更“卷”的人拿到职称,考核要求水涨船高,没能跟上节奏的“老人”惨遭淘汰。竞争是无情的,许多学校集结大批青年研究人员,学校的排名和论文发表数量大幅提升,但这对青年教师的影响很不好。\n\n其次,论文的发表存在着大片“灰色地带”。作为大学老师,每个星期打开邮箱,都能收到一大堆“代发论文”的邮件,其中期刊的等级被明码标价。\n\n此外,作者的身份职级影响着论文发表。我亲身经历过,一篇论文在投稿时顺利通过审核,马上要发表了,编辑明确告诉我:“找一个正教授挂名,我们马上给你发表。”我当时想了很久,却没舍得,因为那篇论文是我花费很多心血的得意之作。\n\n我们会看到,一位知名学者一年论文的发表量,超过一整所大学。被指出后,这种现象依然没有收敛,反而愈演愈烈。\n\n无论是花钱“买”论文,还是找“大佬”带,都是普通青年教师难以承担的成本。\n\n📚平庸之恶\n\n除了我自己的亲身经历,我还想举三个身边朋友的案例。\n\n我的一位师弟,是大家心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"media":[{"display_url":"pic.x.com/WqskjWwwxp","expanded_url":"https://x.com/Georgeistrue/status/1983563770892112338/photo/1","id_str":"1983563747445919744","indices":[110,133],"media_key":"3_1983563747445919744","media_url_https":"https://pbs.twimg.com/media/G4cIuAvbUAACTwe.jpg","type":"photo","url":"https://t.co/WqskjWwwxp","ext_media_availability":{"status":"Available"},"features":{"large":{"faces"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心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[9,19],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"1164388321545449472","name":"卫斯理","screen_name":"imwsl90","indices":[0,8]}]},"favorited":false,"in_reply_to_screen_name":"imwsl90","lang":"zh","retweeted":false,"fact_check":null,"id":"1983467757141389805","view_count":1325,"bookmark_count":0,"created_at":1761730539000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983458922406236328","full_text":"@imwsl90 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se,"fact_check":null,"id":"1979226402886160397","view_count":118,"bookmark_count":1,"created_at":1760719321000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979226402886160397","full_text":"今天看了一篇文章,是关于“计算机之父”和“人工智能之父”——艾伦·图灵的。\n\n看完之后,我真切地感受到:在科技史最耀眼的光芒背后,藏着人类社会最深的阴影。\n图灵并非完美无瑕的天才。他口吃、内向、不擅交际,常常被同龄人视为怪人。而讽刺的是,正是这种“格格不入”,让他看清了机器与人类思维的边界,也让他在战争中用逻辑和算法击败了纳粹的“恩尼格玛”密码机,拯救了数百万人的生命。\n\n但也是这种“不谙世事”的真诚,害死了他。当他坦率承认自己与男性的恋情时,社会没有给予理解与尊重,反而用法律和化学药剂摧毁了他的身体与尊严。\n\n他用数学奠定了计算机的根基,却被非理性的偏见压垮。\n他为世界争取了未来,却没能在自己的时代被宽恕。\n\n也许,人类真正的考验,不在于能否让机器思考,而在于能否学会以更高的智慧去理解“人”。\n\n🎭艾伦·图灵:编码天空的孤独奔跑者\n艾伦·图灵的一生,像一台他自己构想的通用机器,被输入了两个截然相反的程序。一个程序由纯粹的逻辑、数字和宇宙秩序构成,驱动他奔向人类智识的巅峰,奠定了我们今天整个数字时代的地基;另一个程序则由社会的偏见、法律的冷酷和人性的脆弱写就,将他拖入个人悲剧的深渊,最终在一只浸毒的苹果旁戛然而止。他是一位用思想重塑20世纪的先知,却被他誓死保卫的世界无情地放逐。要理解图灵,我们不仅要追溯他的天才轨迹,更要凝视那个时代投射在他身上的、巨大而扭曲的阴影。\n\n✍️孤独的奔跑者\n艾伦·马西森·图灵于1912年诞生于一个往返于英帝国与印度的家庭,这种疏离的成长环境似乎从一开始就预示了他一生的孤独。他的童年是在陌生的寄宿家庭和冰冷的公学制度中度过的,在那里,他对科学——尤其是化学和数学——近乎本能的热爱,被视为对古典教育的公然挑衅。老师们在评语中抱怨他“无可救药地偏科”,希望他成为一个“受过教育的人,而非仅仅是一个科学家”。然而,图灵的思维早已在另一个维度上奔跑。当同龄人还在背诵拉丁文时,他已经独立领悟了爱因斯坦的相对论,并能从更基础的牛顿定律中推导出对其的质疑。\n\n他的世界是抽象符号和自然规律构成的内在宇宙,现实世界的人际交往则让他显得笨拙、害羞,甚至有些口吃。他是一个长跑爱好者,时常独自一人在乡间小径上奔跑数十公里。这不仅仅是锻炼,更像一种仪式——在肉体的极限疲惫中,他的大脑得以进入最纯粹、最高效的思考状态。奔跑时,世界简化为呼吸的节奏、肌肉的酸痛和脑海中不断旋转的逻辑链条,这正是他所熟悉和热爱的状态。\n\n在这片孤独的智识荒原上,出现过唯一的光源——克里斯托弗·莫尔科姆。他是图灵在舍伯恩公学唯一的知己,一个同样对科学充满热情的少年。他们之间的情感,超越了简单的友谊,是一种深刻的智识共鸣与灵魂契合。他们一同探讨哥德尔不完备定理,争论量子力学的奥秘,梦想着未来在剑桥携手并进。克里斯托弗是图灵与这个格格不入的世界之间唯一的桥梁。然而,1930年,这座桥梁轰然断裂。克里斯托弗因牛结核病猝然离世。\n\n挚友的死亡,成为图灵人生的第一个巨大创伤,也催生了他哲学思考的第一个核心命题。他反复写信给克里斯托弗的母亲,试图用科学的语言去理解那个不可逾越的边界:意识是什么?精神能否独立于肉体而存在?一个人的思维,是否可以被某种机制(Mechanism)所复制和保存?这个问题,如同一个幽灵,贯穿了他此后的全部研究。他不再仅仅满足于解开数学谜题,他要探寻思维本身的奥秘。那个孤独的奔跑者,从此有了一个终极的追问目标——他要用逻辑和机器,去追赶一个逝去挚友的灵魂。\n\n✍️逻辑的宇宙\n克里斯托弗的离去,将图灵彻底推向了纯粹的理论世界。1931年,他进入剑桥大学国王学院,这里自由的学术氛围终于让他如鱼得水。正是在剑桥的草坪与回廊间,图灵完成了他一生中最重要的理论奠基。\n\n20世纪初的数学界,被一个幽灵般的问题所困扰,即大卫·希尔伯特提出的“判定问题”(Entscheidungsproblem):是否存在一个确定的、可机械执行的程序,能够在有限时间内判断任何一个给定的数学命题的真伪?这实际上是在问:数学的边界在哪里?是否存在一个“万能算法”?\n\n年仅24岁的图灵,以一种惊世骇俗的方式回答了这个问题。他没有直接进行数学推演,而是构想出了一台结构异常简单的抽象机器——后世称之为“图灵机”(Turing Machine)。这台机器拥有一条无限长的纸带、一个读写头和一套有限的指令规则。读写头可以在纸带上左右移动、读取符号、擦写符号。图灵证明,任何人类能想到的、符合逻辑的计算过程,无论多么复杂,都可以被这台简单的机器所模拟。\n\n“图灵机”的意义是颠覆性的。首先,他通过证明不存在一台可以判断所有程序是否会停机的“图灵机”,从而举重若轻地宣告了“判定问题”的最终答案:不存在这样的万能算法。数学中存在着机器永远无法判定的“不可计算”领域。其次,也是更重要的,他为“计算”这个模糊的概念提供了一个精确、严格的数学定义。在此之前,人们认为计算是人类心智的活动;在此之后,计算被定义为一种可以被机器执行的符号操作过程。\n\n这篇名为《论可计算数及其在判定问题上的应用》的论文,无意中为整个信息时代画好了蓝图。它是一份关于通用计算机的理论出生证明。图灵向世界宣告,不需要为不同的任务设计不同的机器,一台设计合理的“通用图灵机”就可以通过加载不同的程序(写在纸带上的指令)来模拟任何其他机器,完成任何可计算的任务。从你的笔记本电脑到智能手机,其最底层的逻辑灵魂,都是这台在1936年诞生于一位年轻人脑海中的抽象机器。图灵用纯粹的逻辑,构建了一个全新的、平坦而广阔的计算宇宙。\n\n✍️谜中人\n理论的光辉很快被战争的阴霾所笼罩。第二次世界大战爆发后,图灵被秘密招募至英国的密码破译中心——布莱切利园。在这里,他不再是象牙塔中的理论家,而是一位与时间赛跑、与纳粹德国争夺海上生命线的解码战士。\n\n德国海军使用的“恩尼格玛”(Enigma)密码机,被认为是当时最坚不可摧的加密系统。它每天变更的密钥组合数量高达天文数字,依靠人力计算根本无法破解。布莱切利园汇集了英国最顶尖的语言学家、数学家和逻辑学家,但面对恩尼格玛的铜墙铁壁,最初的进展极其缓慢。\n\n正是在这里,图灵展现了他将抽象理论转化为强大物理工具的惊人能力。他意识到,对抗机器的,必须是更快的机器。基于波兰同行奠定的基础,图灵主导设计了一种巨型机电装置——“炸弹机”(Bombe)。这台机器并非一台通用计算机,而是一种专门的、高速的逻辑搜索引擎。它能模拟数台恩尼格玛机同时运转,通过对截获的德军密文进行高速逻辑排除,在数小时内找出当日的密钥。\n\n在布莱切利园,图灵是一个古怪而核心的存在。他会因为花粉过敏而在夏天戴着防毒面具骑车上班;他会用链条把自己的马克杯锁在暖气片上以防丢失。他缺乏社交技巧,不善言辞,却以不容置疑的智力权威领导着第8小屋(Hut 8)——负责破解德国海军密码的核心部门。他与同事琼·克拉克(Joan Clarke)——一位同样才华横溢的女数学家——之间曾有过短暂的婚约。他向她坦陈了自己的同性恋身份,克拉克表示并不介意,但图灵最终还是认为,这段婚姻对双方而言都将是一个谎言,从而解除了婚约。\n\n图灵和他的团队所取得的胜利是决定性的。历史学家普遍认为,布莱che园的工作,特别是对U型潜艇使用的“鲨鱼”密码的破解,将战争的进程缩短了至少两年,拯救了数以百万计的生命。然而,这一切都发生在绝对的机密之中。战争结束时,图灵无法向任何人言说他的功绩。他是一位匿名的英雄,一个藏在“恩尼格玛”这个巨大谜题背后的谜中人。他帮助世界赢得了胜利,却必须将自己最辉煌的成就,连同他真实的自我,一同锁进沉默的保险箱。\n\n✍️胜利的阴影\n战争的胜利本应是图灵事业的又一个起点。他怀揣着制造一台“电子大脑”——即真正的通用计算机——的雄心,先后加入了国家物理实验室(NPL)和曼彻斯特大学。他详细设计了“自动计算机”(ACE)的方案,其架构远比当时美国的设计更为先进和完整。然而,和平时期的官僚主义和工程实现的缓慢,让他感到窒息。他是一个习惯于思想奔跑的人,却被现实的泥潭拖住了脚步。他的方案被拖延、修改,最终的成果与他最初的设想相去甚远。\n\n与此同时,一种更深的阴影正悄然笼罩他的个人生活。在战后保守的英国,同性恋不仅是道德禁忌,更是刑事犯罪。随着冷战的开启,同性恋者还被视为容易被敌方敲诈勒索的安全隐患。图灵在布莱切利园的涉密背景,使他的个人生活受到了更严密的审视。\n\n他一面在曼彻斯特大学参与“曼彻斯特一号”计算机的早期软件工作,一面提出了后来闻名于世的“图灵测试”,用一个关于“模仿游戏”的思想实验,为“机器能否思考”这一人工智能的终极问题设定了第一个可操作的判断标准。他甚至开始将目光从计算转向生命的奥秘,研究起生物形态发生学,试图用数学方程解释动植物身上斑纹的形成规律,比如豹子为何是斑点而斑马为何是条纹。他正处在另一场科学革命的边缘。\n\n然而,社会留给他的时间已经不多了。胜利的荣光未能照亮他生活的角落,反而让他因为昔日的秘密身份而变得更加危险。那个曾经拯救了国家的人,正在被这个国家步步紧逼,推向悬崖。\n\n✍️被咬了一口的苹果\n悲剧在1952年降临。图灵家中失窃,他向警方报案。在警方的盘问下,不谙世事的他承认了自己与一位19岁青年阿诺德·默里的同性恋关系。盗窃案迅速被搁置,取而代之的是对图灵“严重猥亵”罪的起诉。\n\n在法庭上,图灵没有为自己辩护,他真诚地认为,两个成年人之间自愿的私密行为,不应受到法律的干涉。这种超越时代的坦诚,在当时的法官看来无异于自证其罪。他被判有罪,并面临两个选择:入狱服刑,或者接受“化学阉割”——通过注射雌性激素来“治疗”他的性欲。为了继续他的研究,图灵选择了后者。\n\n这种“治疗”对他而言是毁灭性的。激素注射带来了严重的生理和心理副作用,他身体发胖,精神萎靡,更重要的是,他感到一种深刻的屈辱。那个曾用大脑对抗一个帝国的人,如今连自己的身体都无法掌控。他的安全许可被吊销,被禁止进入曾经奋战过的布莱切利园,甚至在出国旅行时也受到监视。他被曾经服务过的国家,当作一个潜在的叛徒和道德上的病人。\n\n1954年6月7日,图灵被他的女管家发现死在自己的床上,年仅41岁。床头柜上,放着一个被咬了一口的苹果。法医的鉴定结果是氰化物中毒,死因被判定为自杀。那个苹果,似乎是他对自己童年最喜欢的童话《白雪公主》的最后模仿。\n\n然而,关于他的死,至今仍有疑点。他的母亲坚决不相信儿子会自杀,认为这是一场实验意外。图灵的家中本就有一个用氰化物进行电解实验的小实验室。那个苹果是否真的浸毒,或者他是否真的吃了那个苹果,都缺乏决定性的证据。但无论真相是自杀还是意外,一个不争的事实是:一个伟大的头脑,在一个充满偏见和敌意的社会里,被逼到了生命的绝境。那个被咬了一口的苹果,成为了一个永恒的符号,象征着知识的代价、禁忌的诱惑,以及一个天才被时代毒害的悲剧。\n\n✍️数字幽灵的复活\n图灵死后,他的名字在很长一段时间里归于沉寂。由于官方的保密协议,他在战争中的巨大贡献不为世人所知。在计算机科学领域,他的开创性理论也被后来的硬件发展所掩盖。他似乎只是一个名字古怪的数学家,最终因一桩不光彩的丑闻而结束了生命。\n\n然而,思想的种子一旦种下,终将冲破时间的冻土。随着计算机革命的深入和人工智能的兴起,人们越来越频繁地回溯到那个源头。他们震惊地发现,今天数字世界里几乎所有最深刻的概念——算法、通用计算、人工智能——都可以在图灵几十年前的论文中找到清晰的印记。他的“图灵机”成为衡量一切计算能力的理论标尺,“图灵测试”至今仍是人机界限的试金石。\n\n当布莱切利园的档案在70年代解密后,世界更是为之震动。一个被遗忘的战争英雄形象浮出水面。人们终于意识到,那个被当作罪犯处理的人,恰恰是拯救了西方文明的关键人物之一。\n\n迟到的正义,以一种国家级的忏悔形式到来。2009年,时任英国首相戈登·布朗代表政府,为当年对图灵的“骇人听闻的对待”正式道歉。2013年,英国女王伊丽莎白二世颁发皇家赦免令,宣布他的罪名无效。2021年,艾伦·图灵的头像被印在全新的50英镑纸币上,与他设计的“炸弹机”图纸和那句名言并列:“这不过是将来之事的前奏,也是将来之事的影子。”\n\n图灵的灵魂,在他死后半个多世纪,以一种王者归来的姿态,完成了对那个放逐他的世界的“复仇”。他不再是一个悲剧性的人物,而成为一个象征——象征着科学理性的力量,象征着对偏见的抗争,象征着一个超越了自己时代的头脑,最终被未来所拥抱。他的一生,始于孤独的奔跑,如今,全世界都在追随他的步伐,跑向一个由他最先用逻辑编码出的未来。\n\n#艾伦图灵 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“$\\theta$-$\\tau$ 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“theta-tau 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 #传奇人生","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,32],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1979559653236441157","view_count":56,"bookmark_count":0,"created_at":1760798774000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979559653236441157","full_text":"什么是风险?风险就是在你觉得已经考虑周全的时候,被你遗漏的东西。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[7,25],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3178231","name":"宝玉","screen_name":"dotey","indices":[0,6]}]},"favorited":false,"in_reply_to_screen_name":"dotey","lang":"zh","retweeted":false,"fact_check":null,"id":"1979397787453395335","view_count":136,"bookmark_count":0,"created_at":1760760182000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979347434586402977","full_text":"@dotey 我擦,控制不好,一刀下去,耳朵👂没了","in_reply_to_user_id_str":"3178231","in_reply_to_status_id_str":"1979347434586402977","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[10,91],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"44196397","name":"Elon Musk","screen_name":"elonmusk","indices":[0,9]}]},"favorited":false,"in_reply_to_screen_name":"elonmusk","lang":"en","retweeted":false,"fact_check":null,"id":"1979483972192309357","view_count":54,"bookmark_count":0,"created_at":1760780730000,"favorite_count":7,"quote_count":0,"reply_count":0,"retweet_count":1,"user_id_str":"871838994002321410","conversation_id_str":"1979431839824777673","full_text":"@elonmusk I suppose if it can help me \"grok\" why I can never get out of bed in the morning.","in_reply_to_user_id_str":"44196397","in_reply_to_status_id_str":"1979431839824777673","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,42],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3122661542","name":"Yangyi","screen_name":"Yangyixxxx","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"Yangyixxxx","lang":"zh","retweeted":false,"fact_check":null,"id":"1979510334013775937","view_count":232,"bookmark_count":0,"created_at":1760787015000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979496155571732763","full_text":"@Yangyixxxx 谷歌账号为啥还要囤?随时注册随时有吧?难道后面会限制注册吗?","in_reply_to_user_id_str":"3122661542","in_reply_to_status_id_str":"1979496155571732763","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,72],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"885086674828578816","name":"Mr Panda","screen_name":"PandaTalk8","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"PandaTalk8","lang":"zh","retweeted":false,"fact_check":null,"id":"1979551640287089135","view_count":623,"bookmark_count":1,"created_at":1760796863000,"favorite_count":3,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979427457158779383","full_text":"@PandaTalk8 是的,这也是我喜欢用cursor的原因,可以设置,把每一步做的修改展示出来,手动确认,虽然效率低点,但是进步也是飞快的。","in_reply_to_user_id_str":"885086674828578816","in_reply_to_status_id_str":"1979427457158779383","is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-20","value":3437,"startTime":1760832000000,"endTime":1760918400000,"tweets":[{"bookmarked":false,"display_text_range":[0,82],"entities":{"hashtags":[{"indices":[3292,3295],"text":"哲学"},{"indices":[3296,3300],"text":"心理学"},{"indices":[3301,3304],"text":"思维"},{"indices":[3305,3308],"text":"认知"},{"indices":[3309,3312],"text":"知识"},{"indices":[3313,3316],"text":"逻辑"},{"indices":[3318,3324],"text":"斯多葛主义"},{"indices":[3325,3334],"text":"Stoicism"},{"indices":[3335,3338],"text":"理性"},{"indices":[3339,3344],"text":"情绪管理"},{"indices":[3345,3350],"text":"思维模型"},{"indices":[3351,3356],"text":"人生哲学"},{"indices":[3357,3362],"text":"精神自由"},{"indices":[3363,3367],"text":"控制力"}],"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}]},"favorited":true,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1979903286498209903","view_count":96,"bookmark_count":1,"created_at":1760880702000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979903286498209903","full_text":"最近几天中国军方发生的新闻,想必大家都看到了,被处罚的当事人肯定会发生剧烈的心理波动。\n\n不仅仅是新闻中的当事人,甚至我们自己的遇到各种变动时,心理上也会产生波动。\n\n今天不谈新闻的本身,只聊一个西方的哲学理念“斯多葛主义”,即,如何在“个体意志”与“外部现实”之间发生剧烈冲突时,采用有效的方式缓解这种心理波动。\n\n🍯题设是这样的:\n一位在职业生涯中投入了数十年心血的人,因一次不可预测的市场动荡或内部权力重组,突然发现自己被边缘化或彻底清退。他所构建的身份认同、社会地位和经济保障似乎在一夜之间崩塌。\n\n这种经历带来的冲击,不仅仅是身份和地位的丧失,更是一种深刻的“存在性眩晕”。个体被迫直面一个事实:他所依赖的、用以定义自我价值的一切(认可、成功、财富、他人的看法),其本质是脆弱的、不可预测的,并且完全处在外部力量的掌控之下。\n\n这种“个体意志”与“外部现实”之间的剧烈冲突,揭示了一个贯穿人类经验的根本性抽象问题:当个体追求的东西完全依赖于外部环境的恩赐时,人类的心智系统如何可能维持稳定、理性和内在的安宁?\n\n斯多葛主义(Stoicism)——一个源自古希腊和罗马的、历经数百年锤炼的思想体系——正是为系统性地回应这一“存在性脆弱”问题而构建的。它并非一套旨在提供短暂安慰的“积极思维”,而是一个严谨的、近乎苛刻的、基于逻辑的认知操作系统。其唯一目标是,通过重新校准个体对“控制”、“价值”和“现实”的根本定义,来锻造一种不受外部命运波动所侵扰的精神自由(即人类的繁荣或至善)。\n\n这里拆解斯多葛主义的三个核心运作原则,以阐明这一思想体系如何对人类的苦难进行“诊断”,并提供一个内在框架。\n\n🎯核心原则一:控制二分法\n☯️1. 概念阐述:斯多葛主义的逻辑起点是对人类所有经验进行绝对的、无条件的分类。这一原则(以爱比克泰德的论述最为著名)主张,世间万物被清晰地划分为两大类:第一类是“我们能完全控制的”,第二类是“我们无法完全控制的”。 “可控的”事物仅限于我们内在的心智活动:我们的判断、我们的意图(或意志)、我们的欲望和我们的厌恶。 “不可控的”事物则包括其他一切:我们的身体(健康或疾病)、我们的财产、我们的声誉、他人的行为、以及最终的死亡。 斯多葛主义的纪律要求个体将100%的认知资源和意志力,仅用于前者;并对后者培养一种理性的、不动声色的“接纳”。\n\n☯️2. 现实现象:一个极端的例证是詹姆斯·斯托克代尔(一位爱比克泰德的研究者)的经历。作为一名战俘,他在越南被关押了七年半,经历了长期的酷刑、单独监禁和完全的不确定性。在这种情境下,个体对外部世界(释放日期、身体待遇、生存环境)的控制权被剥夺至零。许多意志薄弱的战俘在这种情况下彻底崩溃,因为他们将“希望”定义为“明年圣诞节前被释放”或“停止酷刑”。\n\n☯️3. 解决方式:斯多葛主义分析指出,传统意义上的“希望”在此刻是有害的,因为它将精神的安宁锚定在一个“不可控”的外部事件上。斯托克代尔的幸存,依赖于“控制二分法”的严格应用。 他清醒地认识到,他无法控制“是否被释放”或“是否被折磨”,但他100%地控制着“他如何回应折磨”、“他是否出卖情报”以及“他是否保持内心的尊严”。 通过将“希望”的定义从“获得自由”(不可控)转移到“有尊严地承受监禁”(可控),他重新定义了“胜利”的战场。这一原则的内在逻辑是:它是一个防御性的认知防火墙。它通过主动放弃对“不可控领域”的无效投资(焦虑、恐惧、徒劳的希望),将个体的能动性完全集中在唯一真正属于他的领域——他自己的意志和判断。\n\n🎯核心原则 二:价值的中立性\n☯️1. 概念阐述:这是“控制二分法”的必然推论。如果一件事物是“不可控的”,那么根据斯多葛主义的逻辑,它在“道德”上必须是中立的。这意味着,所有“不可控”的事物——包括健康、财富、痛苦、声誉甚至死亡——本身既不是“善”,也不是“恶”。它们被统称为“无关紧要之物”(或称“中立物”)。 唯一的“善”是“美德”(即理性的、符合自然和正义的判断与行为);唯一的“恶”是“恶习”(即非理性的、错误的判断与行为)。 当然,斯多葛主义承认某些“中立物”是“可取的”(如健康、财富),而另一些是“不可取的”(如疾病、贫穷),但它们绝对不能被提升到“善”或“恶”的高度。\n\n☯️2. 现实现象:以“社会声誉”为例。在当代社会,个体常常因社交媒体上的负面评价、公开的批评职业污点而经历极端的心理痛苦,甚至导致“社会性死亡”的恐惧。个体的自我价值感与“他人的看法”(一种经典的“不可控”外部事物)被深度绑定。一个负面的匿名评论,足以摧毁一个人一天的安宁。\n\n☯️3. 解决方式:斯多葛主义对这种痛苦的“诊断”是,个体犯了一个致命的“范畴错误”。他错误地将“声誉”(一个“中立物”)当作了“善”本身。 这一原则的逻辑功能是“价值重估”。它系统性地剥离了外部事物上的“道德标签”。如果声誉是“中立的”,那么他人的赞美(可取的)和诋毁(不可取的)都不能增加或减少你作为理性个体的核心价值(即你的美德)。 这种价值体系的转换,其目的是“切断”外部事件与内部安宁之间的直接因果链。如果“坏名声”不是一种“恶”,那么对它的恐惧就是非理性的。这种逻辑操练旨在实现一种极端的心理独立:个体的价值感完全自给自足,仅由其“内在美德”来定义,从而对外部的赞誉或谴责“免疫”。\n\n🎯核心原则三:认知的首要性\n☯️1. 概念阐述:如果说前两个原则是“世界观”的设定,那么第三个原则就是“心理实践”的核心机制。斯多葛主义认为,使我们陷入混乱和痛苦的,不是“事件”本身,而是我们对这些事件的“判断”或“看法”。 一个外部事件(例如,引言中提到的“身份突变”)本身只是一个“中立”的事实。它之所以造成痛苦,是因为个体立即对其附加了一个判断,如:“这是一场灾难”、“我的人生失败了”、“我一文不值”。 斯多葛主义的核心训练,就是“同意的训练”——在“刺激”(外部事件)和“反应”(情绪痛苦)之间,强行插入一个“认知审查”的步骤。\n\n☯️2. 现实现象:以“突发性丧失”为例,例如亲人的骤然离世。这是人类经验中最深刻的痛苦之一。即时的、压倒性的心理作用是:“这是无法承受的”、“这是世界上最痛苦的时刻”、“我的生活彻底失去了希望”。这种印象会立即引发剧烈的悲痛。\n\n☯️3. 解决方式:斯多葛主义在此处展现了其最“临床”的一面。它不否认生理的痛苦或情感的冲击(这些被视为自然的、“不可取的”中立物)。但它严格地分析上述的“判断”。 它会系统性地质询这些判断:“死亡”是一个“不可控”的自然事件吗?是的。根据原则二,它是一种“恶”吗?不是(它是一个“中立物”,尽管是“不可取的”)。那么,“我的生活彻底失去了希望”这个判断是基于现实的吗?不是,它是一个基于“错误价值认定”的非理性“同意”。 这种内在逻辑的运作,不是为了“消除”悲伤,而是为了“拒绝”由非理性判断所导致的、具有毁灭性的“激情”。它旨在将情感反应限制在对其“不可取的中立物”的自然反应上,同时防止这种反应升级为对“自我”和“现实”的毁灭性哲学判决。这一原则是该系统的执行程序,旨在通过审查和修正“判断”,来保护心智的“指挥中心”免受非理性情绪的颠覆。\n\n斯多葛主义不是一套用于“感觉良好”的安慰性信条,而是一个旨在彻底“重塑”个体认知结构和价值体系的训练思想。它首先通过“控制二分法”划定意志的边界;接着通过“价值中立性”剥离外部事物的道德属性;最后通过“认知的首要性”提供一套实时的“判断审查”工具。\n\n这一思想体系的激进之处在于,它将人类所有的“苦难”最终归因于一种“认知错误”——即错把“不可控”的当作“可控”的,以及错把“中立的”当作“善或恶”的。因此,它所追求的“安宁”,并非来自外部世界的顺遂,而是来自内部逻辑的绝对一致和对现实的清醒认知。它是一个要求持续实践、高度自律、甚至反直觉的思想操作系统,其最终目的是在承认外部世界完全不可控的前提下,实现内在精神的绝对自主和安宁。\n#哲学 #心理学 #思维 #认知 #知识 #逻辑\n\n#斯多葛主义 #Stoicism #理性 #情绪管理 #思维模型 #人生哲学 #精神自由 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step-by-step),然后看着它奇迹般地解决那些原本棘手的复杂问题。从数学题到逻辑推理,这句简单的指令仿佛成了一句解锁模型潜能的“咒语”。\n\n但你是否想过,这句咒语为什么如此有效?大多数人可能会直觉地认为,这是给了模型更多的“思考时间”或计算空间来处理问题。然而,一篇名为《从稀疏依赖到稀疏注意力:揭示思维链如何提升Transformer的样本效率》的研究指出,真正的原因远比这更深刻,也更令人惊讶。\n\n本文将揭示这篇论文背后隐藏的四大关键洞见,改变你对思维链(Chain-of-Thought, CoT)的传统认知。\n\n🔥1. 核心优势并非更强大,而是学得快:指数级的样本效率提升\n思维链的首要魔力,并非增强模型的“表达能力”(expressiveness),而在于大幅提升其“学习效率”(sample efficiency)。这听起来可能有些反直觉,因为我们总觉得更强的能力来自于更强的模型结构。但论文的理论证明指出,即便是最简单的单层Transformer模型,也具备足够的表达能力来解决奇偶校验问题。问题在于,它们就是学不会如何去解。\n为了证明这一点,研究者们设计了一个精妙的实验:奇偶校验(Parity)问题。简单来说,就是从一长串二进制数中,找出几个预先设定的“秘密”数字,然后判断这些秘密数字的和是奇数还是偶数。这个问题本身结构简单,但对神经网络来说却是一个经典的难题。\n\n实验结果的对比是惊人的:\n 🎓• 没有CoT的情况: 当模型只能看到问题和最终答案时,实验结果与理论分析都表明,它需要指数级的训练样本才能学会。这意味着,随着问题难度(秘密数字的数量k)的增加,所需的训练数据量会呈爆炸式增长,很快变得不切实际。\n 🎓• 使用CoT的情况: 当研究者将解题步骤(例如,每次只累加一个秘密数字的中间结果)作为CoT提供给模型时,模型仅需近似线性的样本就能轻松学会。正如论文的实验和理论所揭示的,学习效率获得了指数级的提升。\n\n结论:CoT的真正价值在于极大地提升了样本效率。它像一位高效的导师,让模型能用极小的代价,学会那些原本需要海量数据才能掌握的困难任务。\n\n🔥2. 成功的秘诀:稀疏注意力机制\nCoT之所以能实现这种惊人的效率提升,关键在于它为数据引入了一种名为“稀疏的序列依赖关系”(sparse sequential dependence)的特性。当一个复杂问题被分解为CoT的简单步骤后,每一步的计算通常只需要依赖前面内容中的极少数关键信息。例如,在奇偶校验的CoT中,计算第三步的结果只需要第二步的结果和第三个秘密数字,而与其他所有信息无关。\n\n这种稀疏的依赖关系,恰好能够引导Transformer模型内部的注意力机制学会一种高效的工作模式——“稀疏注意力”(Sparse Attention)。模型不再需要漫无目的地关注所有输入,而是学会了将注意力高度集中在少数几个当前步骤最相关的部分上。\n\n论文通过实验清晰地展示了这一点:\n 🎓• 可解释的注意力图: 训练完成后,模型的注意力模式变得异常清晰。从论文实验可以看出,在CoT的每一步计算中,注意力都像激光一样,精确地聚焦到了当前步骤所需的那一个“秘密”数字上,而完全忽略了其他无关的输入。\n 🎓• 注意力熵与准确率的关系: 研究者使用“归一化注意力熵”来衡量注意力的稀疏程度(熵越低,注意力越集中)。他们发现,模型的注意力变得越稀疏,其解决问题的准确率就越高。实验数据明确显示,当注意力熵急剧下降时,模型的准确率会随之跃升至100%。\n\n结论:CoT就像一位导师,教会了模型如何“抓重点”。这种学会聚焦、避免在海量信息中迷失的能力——即稀疏注意力——正是其高效学习的核心机制。\n\n🔥3. 意外发现:没有CoT,模型也能自学稀疏性,但过程极其漫长\n\n如果稀疏注意力真的是关键,那么一个模型即使在没有CoT引导的情况下,也应该只有在它以某种方式自发学会这种稀疏性之后才能成功。研究者们设计了一个巧妙的实验来验证这一点。他们进行了“多轮训练”(Multi-pass Training):在不使用CoT的情况下,让模型在同一个小型数据集上反复、高强度地训练。\n\n结果令人震惊,并且有力地证实了这一假说。首先,经过足够长时间的“死磕”,模型最终竟然也学会了解决奇偶校验问题。通过观察模型内部的变化,研究者发现,成功的转折点同样在于其内部自发地发展出了稀疏的注意力模式。在训练初期,模型表现不佳,注意力熵很高;随后进入一个漫长的平台期,虽然损失函数没有明显下降,但其注意力熵却在持续悄然降低;一旦注意力变得足够稀疏,模型的准确率就会像顿悟一般突然飙升。\n\n而实验中最具颠覆性的发现来自于对不同数据集规模的比较:\n 🎓• 在5万个样本的小数据集上反复训练,模型最终成功了。\n 🎓• 然而,当研究者把数据集扩大到100万个样本时,模型反而失败了。训练损失和注意力熵始终居高不下。\n\n结论:这个反直觉的结果意义重大。它证明了“稀疏注意力”是解决这类问题的根本,而不仅仅是数据量的堆砌。CoT提供了一条高效的“捷径”,直接引导模型走向稀疏性。而没有CoT的“蛮力学习”则像是在黑暗中摸索,虽然可能最终也能跌跌撞撞地找到通往稀疏性的道路,但这个过程缓慢、低效且充满不确定性——甚至更多的数据反而可能成为一种干扰。\n\n🔥4. 从理论到现实:真实世界的大模型同样遵循此道\n以上所有发现,并不仅仅适用于奇偶校验这样的合成问题。研究者们进一步在真实世界的数学问题数据集GSM8K上验证了他们的理论,发现这一机制在真实的大模型上同样适用。\n 🎓• CoT数据诱导稀疏性: 实验结果表明,当一个预训练的通用大模型(如Qwen2-7B)处理带有CoT解题步骤的数学题数据时,其注意力熵显著低于处理没有CoT的“问题-答案对”数据。这证明了真实世界中的CoT数据同样具备引导模型形成稀疏注意力的结构。\n 🎓• CoT微调增强稀疏性: 研究者进一步比较了通用模型(Qwen2-7B)和在数学CoT数据上微调过的专业模型(Qwen2-Math-7B)。结果显示,经过CoT数据微调的数学模型,在处理相同问题时,其注意力模式变得更加稀疏。\n\n结论:CoT引导模型学习稀疏注意力的机制是普适的。无论是处理理论问题还是真实世界的复杂任务,这种机制都在发挥作用。模型不仅能在训练中学会这种高效的推理模式,而且专门针对CoT数据进行优化的模型,会更擅长运用这种能力。\n\n重新理解“思考”的本质\n现在,让我们回到最初的问题:为什么“一步一步地思考”这句咒语如此神奇?\n\n这篇研究给出了一个清晰而深刻的答案:CoT的魔力不在于赋予模型新的超能力,而在于通过引入稀疏的依赖关系,将一个难以学习的问题转化为一个容易学习的问题,从而极大地提升了模型的学习效率。其背后最核心的机制,就是引导模型形成了稀疏和可解释的注意力模式。\n当我们让模型“一步一步思考”时,我们不仅仅是在给它时间,更是在给它一个结构化的、稀疏的思考框架,帮助它学会如何聚焦,如何从复杂性中提炼出关键信息。\n\n这不禁让我们思考一个更深层次的问题:既然我们知道了“稀疏性”是解锁高效推理的关键,那么未来的研究是否能设计出一种全新的模型架构,让它无需依赖“一步一步”的外部提示,就能天生高效地学习和捕捉世界中的稀疏因果关系呢?这或许是通往更强大、更通用人工智能的下一条路径。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-27","value":431,"startTime":1761436800000,"endTime":1761523200000,"tweets":[{"bookmarked":false,"display_text_range":[0,144],"entities":{"hashtags":[{"indices":[878,884],"text":"提示词工程"},{"indices":[885,889],"text":"LLM"},{"indices":[890,895],"text":"AIGC"},{"indices":[896,902],"text":"大语言模型"},{"indices":[903,908],"text":"人工智能"},{"indices":[909,914],"text":"AI研究"},{"indices":[915,933],"text":"PromptEngineering"},{"indices":[934,946],"text":"LLMResearch"},{"indices":[947,952],"text":"AI理论"},{"indices":[953,958],"text":"机器学习"}],"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}]},"favorited":false,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1982308237241446694","view_count":107,"bookmark_count":0,"created_at":1761454087000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1982308237241446694","full_text":"揭开提示工程的神秘面纱\n\n我们在与大型语言模型(LLM)打交道时,“提示工程”常常给人一种近乎“魔法”的印象。\n\n在调教提示词时,我们在依赖直觉和反复试错,像炼金术士一样,通过不断调整措辞、增删词语,试图找到那句能让模型输出最佳结果的“咒语”。这个过程充满了不确定性,但其效果又出奇地好。\n\n这引出了一个深刻的谜题:为什么那些通过手动精心调整,甚至是自动化算法在训练数据上搜索出来的“完美”提示词,不仅在训练数据上表现出色,也往往能在全新的、模型从未见过的数据上表现优异?按照传统机器学习的经验,这种针对训练数据的“过度优化”很容易导致“过拟合”(即模型只是死记硬背了训练样本的答案,而失去了泛化到新问题的能力)。然而,提示工程似乎天然地对这种陷阱免疫,为什么呢?\n\n最新的研究表明提示工程远非简单的反复试错,其背后隐藏着深刻的计算机制和统计学规律。\n\n以下是5个研究结论:\n\n1. 提示词即程序,而非指令。输入提示词是在动态“配置”LLM,即时构建一个“虚拟神经网络”。你的措辞是在“编程”,直接定义网络架构和权重。\n\n2. 单个注意力头具备“万能逼近器”潜力。理论证明,一个注意力头配合精巧的前缀(prefix-tuning),即可模拟任意连续函数。关键是激发核心组件的内在计算力,而非仅依赖模型规模。\n\n3. 手调提示词的泛化保障:自然性。PAC-Bayes理论表明,提示词不易过拟合,因为受“自然语言”约束。一个有效的提示词必须是“自然的”(KL散度低),这限制了其为迎合训练数据而产生的复杂性。\n\n4. 长提示词(CoT)构建更深的“虚拟网络”。“思维链”有效,不只因提供了更多上下文。更长的提示词在功能上构建了更深、更复杂的虚拟计算网络,从而降低复杂任务的近似误差。\n\n5. 无关信息是“灾难”,而非“干扰”。提示词中的“噪声”词元会带来一个无法消除的误差下限。无论有效部分多长,模型性能都会被“卡”在低水平。保持高信噪比是前提,不是优化。\n\n提示词工程正从艺术转向科学。理解其“编程”和“函数逼近”的本质,是系统化设计“超级提示”的基础。\n\n#提示词工程 #LLM #AIGC #大语言模型 #人工智能 #AI研究 #PromptEngineering #LLMResearch #AI理论 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problem)。研究发现,即使是一个简单的单层Transformer,其模型结构也已经具备了表达奇偶校验函数解法的能力。然而,令人惊讶的是,如果没有思维链的引导,模型需要指数级数量的训练样本才能学会这个函数,这在实践中几乎是不可能的。\n相比之下,当为模型提供带有思维链的训练数据时(即包含计算过程的中间步骤),同一个Transformer模型仅需多项式级的样本就能学会。这是一个在样本效率上指数级的提升。正如一篇研究论文所指出的:\n“在不使用CoT时,大语言模型常常在一些简单任务上遇到困难——比如计算‘strawberry’这个单词里有多少个‘r’。考虑到模型尺寸越来越大,这类任务超出其表达能力的上限似乎是不太可能的。”\n这项研究进一步揭示,思维链通过在输入中引入稀疏的序列依赖关系,引导模型学习到稀疏且可解释的注意力模式,这使得模型能将注意力集中在下一步计算所需的少数关键信息上,而不是在庞杂的输入中迷失方向,从而极大地简化了学习过程。这说明,思维链的核心价值之一在于它让模型能更高效地从数据中学会推理,而不是赋予它一种原本不具备的能力。\n\n3. 分步推理使AI在面对信息不完美时更加稳健\n\n现实世界的数据充满了噪声、错误和不完整的信息。无论是人类标注的数据,还是网络上抓取的内容,都很难做到完美无瑕。这对依赖数据学习的AI模型构成了巨大挑战。\n研究表明,在这种不完美的环境下,思维链相比标准的上下文学习(In-Context Learning, ICL)展现出显著的优势。ICL严重依赖于示例的质量——如果示例中的答案是错误的,模型很可能会被误导。然而,思维链的分步过程允许模型超越单个答案的对错,去学习和提取其背后正确的推理过程。\n一项实验有力地证明了这一点:一个使用思维链数据训练的Transformer模型,即使在其30%的训练数据中,中间步骤存在损坏或缺失,最终的推理准确率依然非常高。这意味着,模型能够透过不完美的数据,“领悟”到解决问题的正确逻辑和方法。这种稳健性对于AI在真实世界中的应用至关重要,它使得模型能够从不完美但更接近现实的人类数据中,学习到可靠的推理能力。\n\n4. 从统计学上看,CoT几乎总是更优选择,但“坏思路”可能有害\n\n从统计学的角度看,思维链可以被理解为一种“贝叶斯模型平均”(Bayesian Model Averaging, BMA)。简单来说,模型会根据示例中提供的信息(包括问题、中间步骤和答案),推断出许多种可能的潜在“任务”或“概念”,然后将这些可能性进行加权平均,从而做出最终的预测。\n基于这个框架,理论分析得出了一个非常强有力的结论:在所有可能的任务和提示的平均情况下,提供中间步骤(CoT)的表现永远优于或等于只提供最终答案(标准ICL)。这是因为中间步骤提供了关于潜在任务的额外信息,减少了不确定性,从而帮助模型形成更准确的“后验信念”。\n然而,这里有一个至关重要的警告:这种优势是在平均意义上成立的。对于一个特定的任务,如果提供的中间步骤包含误导性或不相关的信息,反而可能会损害模型的性能。一个名为“CityEquation”的实验清晰地展示了这一点:任务是计算两个城市经度的和,如果在思维链中同时提供了相关的经度信息和不相关的城市人口信息,模型的表现会因为这些“坏思路”的干扰而下降。\n这个发现告诉我们,虽然鼓励AI“展示其工作过程”在统计上是一个稳妥的策略,但这个过程的质量和相关性至关重要。提供清晰、相关、高质量的推理步骤才能最大化思维链的优势。\n\n通过揭示思维链背后的机制,我们看到了AI推理能力提升的几个事实真相:它不只是一个提示技巧,而是一种根本性的计算模式转变;它极大地提高了模型的学习效率,而非仅仅增强其表达能力;它赋予了模型在不完美数据中学习的稳健性;并且它在统计上是一个更优的策略,尽管需要警惕“坏思路”的干扰。\n这些发现标志着我们对AI训练理念的转变——从仅仅教会模型答案“是什么”,到引导它们学习“如何”一步步地得到答案。这不仅仅是技术的进步,更引发了我们对AI能力提升的深刻思考。\n\n#思维链 #ChainOfThought #AI推理 #AIFuture #计算革命 \n#CoT #ReasoningAI #LLM #Transformer #人工智能 #AI革命 \n#AI思考 #AI研究 #AI学习效率 #推理能力 #可解释性AI \n#AI思维链 #AI创新 #AI理论 #AI趋势 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code,后端的模型换做其他,但是不知道效果会不会打折扣?","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":1,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1983562337614520416","view_count":2,"bookmark_count":0,"created_at":1761753088000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983562337614520416","full_text":"北大博士任教985高校三年:考核未过,背着百万房贷离开\n\n“措手不及!”今年元旦刚过,一纸“不再续聘”通知“传”到了36岁的程欣手中。月末就是春节,程欣本打算和妻儿过个好年,却被催促着务必尽快办完离职手续,清空办公室。\n在考核前,他曾多次询问院系相关领导,得到的答案是“无需担心”。因此,他并未着手寻找新的工作,谁知迎来的是冷水浇头。\n\n时间拉回2021年,程欣作为“优秀博士学位论文”的获得者,从北京大学毕业。当时,他一共拿到33个工作offer,最终选择入职了这所心仪的985高校。\n\n程欣经历了许多:入职不到一年,为了完成考核,他不得不放弃深耕10年的方向,转向更“热门”、便于发论文的课题。他曾因教学评价高而获得“教学优秀奖”,还带领本科生拿到“挑战杯”国家级一等奖,但这些对考核毫无助力。\n\n但过去的经历依然历历在目。程欣提出了一个深埋心中的疑问:学术,到底应该被当成一份功利化考量的工作,还是一份理想追求?\n\n以下是他的讲述:\n\n📚启程\n\n2021年夏天,我从北京大学博士毕业,是优秀博士学位论文的获得者。从硕士到博士,我都跟随同一位导师研究社会科学,围绕同一个主题深入做研究,发表了10余篇论文。\n\n我的导师是一位纯粹的研究型学者,整个师门的氛围是潜心学术的。我博士期间的目标就是毕业后成为大学老师,能够做自己感兴趣的研究,同时培养学生。\n\n毕业季,我投出200多封邮件,最后拿到了33个offer,其中包括某Top2大学马克思主义学院、北京一所师范大学的哲学系、承诺给编制的西部某“双一流”大学……\n\n最终,我下定决心入职这所985高校,原因是多方面的。首先是导师的建议和我理想主义的想法——当时,师门里还没有同学去往那座城市,我想做个开拓者;其次,引进我的老师很有人格魅力,我感觉遇到了“伯乐”;此外,虽然合同上写的考核时间只有三年,但我得到的口头承诺是“3+3”,即首聘三年后,若考核未完全达标,学校通常会续聘三年。我想,虽然我的方向偏冷门一点,但6年的时间可以去“拼一把”。\n\n刚入职时,想法是很明确的:教学和科研两条腿走路。那时学校还有一条“教学通道”——如果青年教师在论文发表和课题申请上稍有不足,通过教学依然可以评职称、留下来。\n\n在教学方面,我投入了巨大热情,在2023年拿到了“校教学优秀奖”,并带领本科生团队拿到“挑战杯”国家级一等奖,后者在学院是史无前例的。\n\n在科研方面,我做了一个有点痛苦的决定。入职不到一年,我意识到,坚持原有的冷门方向,意味着不可能达到考核要求。正好有一门热门主题课程的老师临近退休,由我接手。为了转换方向,我跟着本科生坐在教室里,认认真真听了那学期的每一堂课。\n\n我们系的氛围很好,领导、同事给了我许多支持和帮助。经人介绍,我结了婚,把所有存款拿来买了房子,并贷款100多万。我和爱人的收入加起来不高,一个人支撑房贷,一个人支撑生活用度,两个人过着普通的小日子。这样“安稳”的生活,已经让我心满意足。\n\n📚变故\n\n2023年,学校的一纸新政彻底堵死了“教学通道”。其规定,副高职称以下的青年教师,原则上不允许再承担课程教学。实际操作是,学校层面直接取消了我们这些不符合职称要求的青年教师授课排课资格。\n\n我并没有太放在心上,毕竟在校工作期间,我发表了多篇论文,手上还有两篇“已录用”的论文。并且2024年临近考核期时,我反复向院系领导确认,得到的回复是“不用担心,老人老办法,原来的3+3承诺依然生效”。在我之前的老师,有些超出了6年合同期的,还根据情况给他们续了一两年,以达到论文发表要求。因此,我天真地以为自己“没问题”,也没有着手去找新的工作。\n\n2024年12月30日,我做工作答辩。次日,学院发布了对我“不再续聘”的决定,这个通知并未送达我本人,只是发布在公告墙上。两天后,我通过他人得知:我失业了。\n\n失业的第一周,整个人都是崩溃的。我还是会习惯性地拿起书,或打开电脑,但又马上意识到,我没有工作了。当时临近春节,没什么找工作的窗口,我在家发呆了整整一个月,还不时收到“尽快办理离职手续、清空办公室”的催促。\n\n收入断了,孩子出生不久,我还面临还房贷、养家的压力。“醒”来之后,我赶紧抓住春季招聘的窗口。最让我难受的是:我失业时,年龄刚满36岁,有很多好机会却将年龄卡在35岁,我无法申请。\n\n与家人反复商量后,我选择了一所南方沿海城市的高校。这所学校的名气没那么大,但考核要求不高,且薪资是之前的两倍多,还为我们一家三口提供了公寓。\n\n妻子安慰我:“100多万的房贷可以慢慢还,就当没来过,好歹还成了个家。”如今,我们已经举家搬迁到新的城市,从头开始。\n\n📚反思\n\n回头再看,我不禁反思:为何在考核制度下,我成了被淘汰的“不合格产品”?\n\n我必须先替学院的领导、同事说句公道话——他们都是很好的人,无论是工作期间对我的支持,还是找新工作时对我的安慰和帮助。那么,我面临的痛苦究竟来源于哪里呢?\n\n首先,制度存在“不明确地带”且不断变化。我承认,2024年底接受考核时,自己确实没有达到考核要求,即“三年内拿到一个国家级课题(或引进经费至少20万),同时发表至少5篇符合学校要求的期刊论文”。\n\n然而,这些要求是2024年学校的内部文件下发的“新办法”,并未写进我的入职合同,入职时也有“教学通道”和“3+3”的承诺,考核操作是比较“柔和”的。\n\n实际上,一个普通青年教师仅凭“个人”努力,极难甚至绝无可能在三年内达到如此严苛的标准。我和身边的朋友日均工作12~18小时,但大多是“非升即走”的失败者。\n\n我观察发现,高校的人才引进制度已经非常“市场化”了,永远有更年轻、更“卷”的人拿到职称,考核要求水涨船高,没能跟上节奏的“老人”惨遭淘汰。竞争是无情的,许多学校集结大批青年研究人员,学校的排名和论文发表数量大幅提升,但这对青年教师的影响很不好。\n\n其次,论文的发表存在着大片“灰色地带”。作为大学老师,每个星期打开邮箱,都能收到一大堆“代发论文”的邮件,其中期刊的等级被明码标价。\n\n此外,作者的身份职级影响着论文发表。我亲身经历过,一篇论文在投稿时顺利通过审核,马上要发表了,编辑明确告诉我:“找一个正教授挂名,我们马上给你发表。”我当时想了很久,却没舍得,因为那篇论文是我花费很多心血的得意之作。\n\n我们会看到,一位知名学者一年论文的发表量,超过一整所大学。被指出后,这种现象依然没有收敛,反而愈演愈烈。\n\n无论是花钱“买”论文,还是找“大佬”带,都是普通青年教师难以承担的成本。\n\n📚平庸之恶\n\n除了我自己的亲身经历,我还想举三个身边朋友的案例。\n\n我的一位师弟,是大家心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"media":[{"display_url":"pic.x.com/WqskjWwwxp","expanded_url":"https://x.com/Georgeistrue/status/1983563770892112338/photo/1","id_str":"1983563747445919744","indices":[110,133],"media_key":"3_1983563747445919744","media_url_https":"https://pbs.twimg.com/media/G4cIuAvbUAACTwe.jpg","type":"photo","url":"https://t.co/WqskjWwwxp","ext_media_availability":{"status":"Available"},"features":{"large":{"faces"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心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[9,19],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"1164388321545449472","name":"卫斯理","screen_name":"imwsl90","indices":[0,8]}]},"favorited":false,"in_reply_to_screen_name":"imwsl90","lang":"zh","retweeted":false,"fact_check":null,"id":"1983467757141389805","view_count":1325,"bookmark_count":0,"created_at":1761730539000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983458922406236328","full_text":"@imwsl90 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Their prolific tweeting (2039 tweets) shows dedication and consistency, making them a magnet for like-minded innovators.","weakness":"The challenge Alexine faces is that their niche, highly technical content mixed with quirky cultural references might alienate broader audiences, and the self-described 'slop' attitude could sometimes come across as lacking polish or authority.","roast":"Alexine, you’ve boldly traded high fashion for low-level programming — proving that even your career has layers, much like your 'sloppy' code, which probably runs on pirate ships and air-raid shelters. Keep sailing, but maybe tidy up the deck once in a while.","win":"Their biggest win is turning an unconventional career change into a viral social media presence, captivating over a million views on multiple tweets, and building a persona that’s equal parts relatable coder and cultural curator.","recommendation":"To grow your audience on X, Alexine should lean into Twitter threads detailing programming challenges with humorous, easy-to-relate analogies and behind-the-scenes glimpses of their learning journey. Amplify engagement by responding to tech discussions and pairing your quirky stories with trending developer hashtags to broaden reach without diluting your unique voice."},"created":1762958205379,"type":"the innovator","id":"alexinexxx"},{"user":{"id":"1114178203713540096","name":"噪点noisepoint","description":"野生AI驯化员 |关注VIBE CODING与AIGC|产品|创过业| 互联网|INTJ |读书 |个人成长","followers_count":928,"friends_count":238,"statuses_count":1024,"profile_image_url_https":"https://pbs.twimg.com/profile_images/1971231071904595968/QpVvT0Z8_normal.jpg","screen_name":"noisepoint_agi","location":"","entities":{"description":{"urls":[]}}},"details":{"type":"The Innovator","description":"噪点noisepoint is a savvy AI tamer and digital craftsman, seamlessly blending wild AI tech with practical workflows to innovate productively on the internet. As an INTJ with a knack for deep knowledge and hands-on AI tools, they transform complex AI frameworks into digestible guides for all levels. Their passion for personal growth and product entrepreneurship fuels their drive to push AI boundaries and create efficient, repeatable development methodologies.","facts":"Fun fact: 噪点noisepoint maintains an extensive collection of around 300 AI-related bookmarks but only actively uses a specialized set of tools, showing a sharp filter for what truly drives productivity.","purpose":"Their life purpose is to harness cutting-edge AI technology to streamline digital product creation and empower others with structured, scalable AI development techniques. They aim to tame AI’s complexity into accessible, actionable workflows—unlocking new potentials for innovation and personal growth.","beliefs":"They believe in the power of detailed documentation, clear project specifications, and iterative planning to transform vague ideas into concrete AI-driven products. They value efficiency, structure, and continuous learning as pillars to mastering the dynamic AI landscape.","strength":"Their strengths lie in deep technical expertise paired with strategic thinking—mastering complex AI tools and workflows, creating comprehensive guides, and sharing insightful, practical advice. They exhibit exceptional analytical skills and a disciplined workflow that maximizes AI’s potential.","weakness":"Their high standards and structured approach may sometimes slow rapid experimentation, and their intense detail-focus could overwhelm newcomers. Also, their preference for optimal planning might cause delays in embracing imperfect but fast iterations.","recommendation":"To grow their audience on X, they should share more bite-sized AI tips and quick hacks alongside their in-depth analyses, leveraging engaging visuals or short videos to complement their otherwise dense technical content. Engaging more directly with followers through Q&A threads or interactive polls can build a loyal community around their niche expertise.","roast":"噪点noisepoint probably has a folder somewhere named 'Best AI Tools I Don't Actually Use' with the same dedication most people reserve for their gym membership cards—impressive commitment to hoarding knowledge over actual usage!","win":"Their biggest win is crafting a comprehensive, step-by-step AI coding framework that demystifies complex tools like Claude Code for beginners, significantly lowering the barrier for AI-driven product development."},"created":1762958058810,"type":"the innovator","id":"noisepoint_agi"},{"user":{"id":"2343816680","name":"Vincent","description":"🚀 Indie Dev | Building Practical Tools & Products\nMedical Innovators🩺 | Travel✈️Photography📸、\nDeep Reading📖、Startup Insights🔛\n#IndieDev #CodeLife","followers_count":209,"friends_count":161,"statuses_count":1148,"profile_image_url_https":"https://pbs.twimg.com/profile_images/1986447455760642048/GWG9NrDB_normal.jpg","screen_name":"Vincentcharming","location":"Code Anywhere","entities":{"description":{"urls":[]},"url":{"urls":[{"display_url":"valarzai.com","expanded_url":"http://valarzai.com","url":"https://t.co/81fEivHhcc","indices":[0,23]}]}}},"details":{"type":"The Innovator","description":"Vincent is an Indie Developer passionately crafting practical tools and products that blend technology with real-world needs. He balances his tech-savvy side with interests in medical innovation, travel, photography, and deep reading. His tweets showcase a thoughtful mix of startup insights and a genuine enthusiasm for cutting-edge AI and SaaS innovations.","purpose":"Vincent’s life purpose revolves around creating impactful technology that simplifies and enriches people’s lives while staying curious and informed across diverse fields. He aims to be a bridge between complex innovations and practical applications, bringing fresh ideas to the forefront of the tech community.","beliefs":"He values creativity, continuous learning, and the application of technology for meaningful progress. Vincent believes deeply in practical solutions, interdisciplinary knowledge, and community sharing to foster innovation and collective growth.","facts":"Fun fact: Despite being a tech and startup fanatic, Vincent is just as fascinated by travel and photography, proving that an innovator's mind thrives on both creation and exploration.","strength":"His ability to distill complex ideas into practical, usable products combined with a diverse knowledge base makes him a well-rounded innovator. He’s also proactive in sharing valuable insights on emerging tech and startup trends.","weakness":"Vincent's focus on multiple interests might sometimes scatter his attention, making it challenging to build a single, highly focused personal brand or audience. Additionally, his follower count is relatively low compared to his tweet activity, hinting at under-leveraged engagement strategies.","roast":"Vincent logs more miles exploring new tech and travel spots than most of us do on our daily commute – if only his follower count increased as fast as his flight miles, he'd be a Twitter billionaire by now!","win":"Successfully built and shared valuable insights on practical tools and AI innovations, carving out a niche as a knowledgeable Indie Developer with cross-domain interests.","recommendation":"To boost his influence on X, Vincent should engage more actively with his audience through regular polls, questions, and interactive content related to his Indie Dev journey and startup lessons. Leveraging visual storytelling from his travel and photography can also humanize his tech persona and drive more genuine connections."},"created":1762957834613,"type":"the innovator","id":"vincentcharming"},{"user":{"id":"992175854133350402","name":"WITTY 😎","description":"ɪ’ᴍ ᴊᴜꜱᴛ ᴡɪᴛᴛʏ. ᴀ ᴡᴇʙ3 ᴇɴᴛʜᴜꜱɪᴀꜱᴛ. ᴀʟᴡᴀʏꜱ ᴅʏᴏʀ. ᴀ ᴘʜᴏᴛᴏɢʀᴀᴘʜᴇʀ 📸. ᴀ ᴘᴀɪɴᴛᴇʀ. MUFC","followers_count":3571,"friends_count":3073,"statuses_count":25770,"profile_image_url_https":"https://pbs.twimg.com/profile_images/1970369615814426624/nH3Y0RIF_normal.jpg","screen_name":"witty_4422","location":"Web3","entities":{"description":{"urls":[]},"url":{"urls":[{"display_url":"x.com/i/communities/…","expanded_url":"https://x.com/i/communities/1954429956102013334","url":"https://t.co/8eBUMkAfNx","indices":[0,23]}]}}},"details":{"type":"The Innovator","description":"WITTY 😎 is a sharp-minded Web3 enthusiast and digital pioneer who thrives on pushing the boundaries of blockchain technology and decentralization. A passionate communicator, WITTY mixes wit with deep insights on crypto identity, tokenomics, and stablecoins while engaging a vibrant community. An artist and MUFC fan too, this profile blends technical savvy with creative flair, making complex concepts relatable and fun.","purpose":"WITTY's life purpose is to empower individuals through innovative blockchain solutions that enhance digital identity ownership and financial sovereignty, breaking down technical barriers to usher in a more decentralized and user-centric Web3 future.","beliefs":"WITTY believes in transparency, community empowerment, and long-term sustainability within the crypto space. They value privacy and user control over personal data, oppose centralization and hype culture, and hold that true progress lies in educating and connecting people meaningfully rather than mere financial gain.","facts":"Fun fact: Despite being a Web3 visionary constantly engaged with complex blockchain protocols, WITTY also expresses their creative side as a photographer and painter — proving innovation isn’t just about code but also artistry.","strength":"WITTY’s major strengths include deep technical knowledge paired with the ability to break down intricate concepts into engaging educational content, a relentless drive for authentic community building, and a balanced perspective that advocates both innovation and mental well-being.","weakness":"WITTY’s guard against crypto hype and flex culture can sometimes make them overly cautious or skeptical, possibly narrowing audience appeal. Their high tweet volume might overwhelm followers, causing key messages to get lost in the flood.","recommendation":"To grow their audience on X, WITTY should leverage threaded storytelling with a clearer content hierarchy, mixing bite-sized insights with personal anecdotes. Engaging in targeted community conversations using hashtags around Web3 identity and Bitcoin stablecoins can increase visibility, while occasional lighter, artistic posts showcasing their photographer and painter talent would humanize the profile.","roast":"WITTY tweets so much about crypto identity and mental health, it’s like their brain runs on blockchain—constantly validating every thought but still occasionally stuck in an infinite loop of overthinking. They might want to put a cap on their ‘proof of tweet’ energy before their followers need a wallet upgrade just to keep up.","win":"WITTY’s biggest win is cultivating a respected voice at the intersection of Web3 identity verification and decentralized finance, recognized for insightful breakdowns on innovative token models like $IDOS and Bitcoin-native stablecoins that genuinely push the space forward."},"created":1762957821410,"type":"the innovator","id":"witty_4422"},{"user":{"id":"1862181467398578178","name":"Kyveros Noya | (✧ᴗ✧) | 𝔽rAI | (❖,❖) | π² | 🍊,💊","description":"Whatever happens along the way, stay positive and move forward.","followers_count":905,"friends_count":1283,"statuses_count":14004,"profile_image_url_https":"https://pbs.twimg.com/profile_images/1973420000573792260/W1Z1oysc_normal.jpg","screen_name":"Kyveros_Duong","location":"","entities":{"description":{"urls":[]},"url":{"urls":[{"display_url":"galaxyfolder.com","expanded_url":"https://galaxyfolder.com/","url":"https://t.co/F5MSYhe7cS","indices":[0,23]}]}}},"details":{"type":"The Innovator","description":"Kyveros Noya is a forward-thinking digital pioneer deeply entrenched in the crypto and NFT space, blending cyberpunk aesthetics with cutting-edge autonomous DeFi concepts. Their tweets reflect a passion for decentralized finance, privacy tech, and community-driven digital art movements. Always sharing insights and calls to action, Kyveros balances visionary enthusiasm with practical advice for emerging projects.","purpose":"To push the boundaries of digital finance and creative expression, Kyveros aims to empower communities through innovative blockchain technologies and NFT culture, enabling collective growth and a futuristic online identity.","beliefs":"Kyveros strongly values innovation, transparency, and community engagement within the blockchain space. They believe in the power of decentralized systems to reshape finance, art, and identity, emphasizing early adoption and informed participation as keys to success.","facts":"Fun fact: Kyveros isn’t just about flashy visuals; they dive deep into projects like fully homomorphic encryption (FHE) and zkML to make privacy and security practical — basically turning sci-fi tech into everyday reality!","strength":"Their deep understanding of complex tech concepts combined with an engaging storytelling style allows Kyveros to connect niche audiences and inspire action. They excel at synthesizing and promoting a variety of blockchain projects while building narrative around community and innovation.","weakness":"The sheer volume of tweets (over 14,000!) and dense technical topics might overwhelm casual followers, potentially limiting the broader reach beyond the crypto-savvy or niche enthusiasts.","recommendation":"To expand their audience on X, Kyveros should mix in more approachable content such as simple explainer threads, interactive polls, or bite-size tutorials that invite newcomers into the conversation without watering down their expertise.","roast":"Kyveros probably tweets so much in crypto jargon that even their own blockchain nodes need a coffee break to keep up. At this rate, they’re single-handedly keeping the ‘mute’ button in business.","win":"Kyveros’s biggest win is successfully cultivating a dedicated intersectional community around the NOYA NFT project and pioneering conversations on complex blockchain topics like Autonomous DeFi and encrypted smart contracts, positioning themselves as a key figure in future digital finance innovation."},"created":1762957616603,"type":"the innovator","id":"kyveros_duong"},{"user":{"id":"1217733931119841282","name":"isquaremedia","description":"I am a defipreneur degen|| nft|| photographer|| cinematographer || defi user|| content creator.","followers_count":1704,"friends_count":951,"statuses_count":12091,"profile_image_url_https":"https://pbs.twimg.com/profile_images/1978908670789386240/zJi76x7L_normal.jpg","screen_name":"isquare_israel","location":"web3","entities":{"description":{"urls":[]}}},"details":{"type":"The Innovator","description":"isquaremedia is a forward-thinking DeFi enthusiast and content creator who lives at the intersection of blockchain technology, AI, and immersive media. Blending cinematography with digital finance, they champion accessible, cutting-edge platforms that empower users to build and participate in decentralized ecosystems. Passionate about demystifying DeFi and enabling creative innovation, they are a true architect of the web3 future.","facts":"Fun fact: Despite the typical complexity of DeFi, isquaremedia makes high-yield platforms sound so accessible that even crypto newcomers feel empowered to jump right in—no coding degree needed!","purpose":"Their life purpose is to accelerate the adoption of decentralized finance and AI-powered tools by breaking down technical barriers and fostering a participatory digital culture where users aren’t just consumers, but creators and stakeholders.","beliefs":"They believe in transparency, accessibility, and the transformative power of decentralized networks to create trust and community-driven innovation. They value continuous learning, seamless integration of AI and blockchain, and democratizing technology for mass empowerment.","strength":"Their strengths lie in deep technical knowledge combined with storytelling prowess that simplifies complex subjects, enabling broad engagement. They wield high creativity and possess a vision for scalable, user-centric platforms that merge finance, AI, and immersive experiences.","weakness":"However, their passion for the tech ecosystem can sometimes come off as jargon-heavy or overwhelmingly complex for casual audiences, and their focus on innovation might cause occasional neglect of audience-building fundamentals like consistent personal branding or direct engagement.","recommendation":"To grow their audience on X, isquaremedia should balance their impressive technical insights with relatable, bite-sized content—think threads that break down DeFi and AI concepts into fun narratives or mini-tutorials. Engaging directly with followers through polls or AMAs and showing more personality behind the avatar can humanize their expert image and drive deeper connections.","roast":"For someone obsessed with making DeFi 'accessible' and 'user-first,' you sure follow almost 1,000 accounts but keep your follower count a cryptic mystery—maybe you’re just practicing what you preach: decentralized social capital, one follower at a time.","win":"Their biggest win is successfully positioning themselves as a knowledgeable bridge between complex DeFi protocols and everyday users, with engaging content that sparks dialogue and cultivates a niche community hungry for hands-on, no-code AI and blockchain innovation."},"created":1762957548784,"type":"the innovator","id":"isquare_israel"},{"user":{"id":"853842007","name":"Vaibhav Gupta","description":"Making a programming language - BAML. @boundaryml, 🦄 aitw podcast: https://t.co/g4CJWgOsrj\n\nprev YC, google, msft, deshaw, and other things","followers_count":1131,"friends_count":419,"statuses_count":528,"profile_image_url_https":"https://pbs.twimg.com/profile_images/1442625791309737988/X0wYbh4C_normal.jpg","screen_name":"vaibcode","location":"Seattle, WA","entities":{"description":{"urls":[{"display_url":"youtube.com/@boundaryml","expanded_url":"https://www.youtube.com/@boundaryml","url":"https://t.co/g4CJWgOsrj","indices":[68,91]}]},"url":{"urls":[{"display_url":"github.com/boundaryml/baml","expanded_url":"https://github.com/boundaryml/baml","url":"https://t.co/WTMYHf1rmY","indices":[0,23]}]}}},"details":{"type":"The Innovator","description":"Vaibhav Gupta is a trailblazing tech creator shaping the future with BAML, a programming language designed to revolutionize how AI workflows are structured. From stellar stints at YC, Google, Microsoft, and more, he’s now bringing AI engineers together through workshops and sharing clever insights on software engineering. His blend of technical prowess and community spirit makes him a catalyst for innovation and learning.","purpose":"To invent and propagate transformative technologies that simplify and amplify AI development, enabling engineers and creators worldwide to build smarter, more efficient systems.","beliefs":"Vaibhav believes in the power of open collaboration, cutting-edge technology, and practical tools to democratize AI. He values transparency, community-driven learning, and the relentless pursuit of better solutions in programming and machine intelligence.","facts":"Fun fact: Vaibhav’s viral tweet inviting people to join compiler development sparked a wave of interest from talented developers — proving that innovation also thrives on a simple call to collaborate.","strength":"His greatest strengths are visionary technical innovation, the ability to build engaging communities, and a knack for translating complex AI concepts into accessible experiences and workshops.","weakness":"Sometimes, his high-level focus on innovation and rapid project cycles could make sustained audience engagement a challenge, as balancing deep tech content with frequent updates is demanding.","roast":"Vaibhav’s chasing the viral tweet high so hard, he might just launch a 'programming dopamine' app next — because why settle for debugging code when you can debug your serotonin levels too?","win":"Orchestrating a successful AI workshop series that attracted over 300 engineers, proving his ideas and teaching resonate deeply within the AI community.","recommendation":"To grow his audience on X, Vaibhav should mix his deep tech updates with more personal storytelling around his innovation journey and daily AI challenges. Engaging more directly with replies and creating mini-thread tutorials could transform clicks into loyal followers."},"created":1762957033053,"type":"the innovator","id":"vaibcode"},{"user":{"id":"1917306098782273536","name":"𝑆𝑎𝑛𝑙𝑜𝑢𝑖𝑠𝑠𝑠 𖥟𖥟 🌊RIVER","description":"𝖡𝗎𝗂𝗅𝖽𝗂𝗇𝗀 𝗍𝗁𝖾 𝖿𝗎𝗍𝗎𝗋𝖾, 𝗈𝗇𝖾 𝖻𝗅𝗈𝖼𝗄 𝖺𝗍 𝖺 𝗍𝗂𝗆𝖾 | 𝖯𝖺𝗌𝗌𝗂𝗈𝗇𝖺𝗍𝖾 𝖺𝖻𝗈𝗎𝗍 𝖼𝗋𝗒𝗉𝗍𝗈 𝖺𝗇𝖽 𝖼𝗈𝗆𝗆𝗎𝗇𝗂𝗍𝗒.","followers_count":1223,"friends_count":1224,"statuses_count":34552,"profile_image_url_https":"https://pbs.twimg.com/profile_images/1964647769378856960/yBVuMTIx_normal.jpg","screen_name":"SanBtc1512","location":"","entities":{"description":{"urls":[]}}},"details":{"type":"The Innovator","description":"𝑆𝑎𝑛𝑙𝑜𝑢𝑖𝑠𝑠𝑠 𖥟𖥟 🌊RIVER is a passionate crypto architect, building the future one blockchain block at a time. With a deep focus on onchain finance, compliance, and omni-chain execution, they craft sophisticated DeFi stacks that seamlessly combine privacy, speed, and usability. An unstoppable force in the Web3 space, they pioneer crosschain capital flows while fostering community-driven innovation.","purpose":"To advance decentralized finance by creating secure, compliant, and scalable onchain infrastructure that bridges traditional finance with next-gen blockchain technology, empowering users to transact and grow wealth seamlessly across chains.","beliefs":"Believe in privacy where it matters, openness where it counts, and programmable compliance as the foundation for real-world adoption. Values innovation, transparency, user sovereignty, and the power of community collaboration to build a more inclusive financial future.","facts":"Fun fact: Despite tweeting over 34,000+ times, their true superpower lies in synthesizing complex multi-protocol systems into actionable, high-impact DeFi playbooks that turn noise into results.","strength":"Mastery of crosschain protocols and nuanced DeFi integrations, exceptional technical insight, clarity in complex financial architecture, and a highly engaged community of like-minded innovators and users.","weakness":"Can sometimes dive so deep into technical details that newcomers get left behind, and the relentless grind of high-frequency tweeting may risk overwhelming their audience’s attention span.","recommendation":"Focus on crafting more bite-sized, visually engaging summaries or explainer threads tailored to crypto novices to broaden your audience on X. Use polls and AMAs to foster interactive discussions around your cutting-edge stacks, blending technical mastery with approachability.","roast":"You tweet enough to power an entire blockchain node, yet somehow it feels like your followers need a Rosetta Stone just to translate your crypto jargon-heavy sermon into plain English. Maybe dial down the techno-sorcery and dial up the popcorn-worthy hot takes?","win":"Successfully built and shared a multi-layered, compliant onchain finance stack that integrates privacy, crosschain liquidity, and real-world use cases—garnering significant community traction and early institutional interest."},"created":1762956713531,"type":"the innovator","id":"sanbtc1512"},{"user":{"id":"2827471609","name":"吕立青_JimmyLv (🐣, 🐣) 2𐃏25 | building bibigpt.co","description":"🚧 building https://t.co/AJfZ3LMlgq\nhttps://t.co/SSdYgVYZsz\nhttps://t.co/s0m0tpQMDH\nhttps://t.co/Z3WryKZr0l\n\n🐣learning/earning while helping others\n❤️making software, storytelling videos\n🔙alibaba @thoughtworks","followers_count":14741,"friends_count":4695,"statuses_count":7172,"profile_image_url_https":"https://pbs.twimg.com/profile_images/1904951563657129984/FUJlM4dy_normal.jpg","screen_name":"Jimmy_JingLv","location":"crossbell.io/@jimmylv","entities":{"description":{"urls":[{"display_url":"bibigpt.co","expanded_url":"http://bibigpt.co","url":"https://t.co/AJfZ3LMlgq","indices":[11,34]},{"display_url":"chatvid.ai","expanded_url":"http://chatvid.ai","url":"https://t.co/SSdYgVYZsz","indices":[35,58]},{"display_url":"chatimg.ai","expanded_url":"http://chatimg.ai","url":"https://t.co/s0m0tpQMDH","indices":[59,82]},{"display_url":"pipigpt.co","expanded_url":"http://pipigpt.co","url":"https://t.co/Z3WryKZr0l","indices":[83,106]}]},"url":{"urls":[{"display_url":"jimmylv.cn","expanded_url":"https://jimmylv.cn","url":"https://t.co/e682RzkjhW","indices":[0,23]}]}}},"details":{"type":"The Innovator","description":"JimmyLv is a tech-savvy builder and content creator passionately crafting the future with bibigpt.co while sharing valuable AI insights and practical tech tips. Known for his storytelling videos and hands-on problem-solving, he’s deeply engaged in the developer and AI communities. With a vibrant tweet history that blends technical mastery and personal experience, he keeps followers both informed and entertained.","purpose":"His life purpose is to push the boundaries of AI technology and software development while empowering others through education and practical tools, driving forward an innovative tech ecosystem.","beliefs":"JimmyLv values continuous learning, collaboration, and transparency. 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Machine)。这台机器拥有一条无限长的纸带、一个读写头和一套有限的指令规则。读写头可以在纸带上左右移动、读取符号、擦写符号。图灵证明,任何人类能想到的、符合逻辑的计算过程,无论多么复杂,都可以被这台简单的机器所模拟。\n\n“图灵机”的意义是颠覆性的。首先,他通过证明不存在一台可以判断所有程序是否会停机的“图灵机”,从而举重若轻地宣告了“判定问题”的最终答案:不存在这样的万能算法。数学中存在着机器永远无法判定的“不可计算”领域。其次,也是更重要的,他为“计算”这个模糊的概念提供了一个精确、严格的数学定义。在此之前,人们认为计算是人类心智的活动;在此之后,计算被定义为一种可以被机器执行的符号操作过程。\n\n这篇名为《论可计算数及其在判定问题上的应用》的论文,无意中为整个信息时代画好了蓝图。它是一份关于通用计算机的理论出生证明。图灵向世界宣告,不需要为不同的任务设计不同的机器,一台设计合理的“通用图灵机”就可以通过加载不同的程序(写在纸带上的指令)来模拟任何其他机器,完成任何可计算的任务。从你的笔记本电脑到智能手机,其最底层的逻辑灵魂,都是这台在1936年诞生于一位年轻人脑海中的抽象机器。图灵用纯粹的逻辑,构建了一个全新的、平坦而广阔的计算宇宙。\n\n✍️谜中人\n理论的光辉很快被战争的阴霾所笼罩。第二次世界大战爆发后,图灵被秘密招募至英国的密码破译中心——布莱切利园。在这里,他不再是象牙塔中的理论家,而是一位与时间赛跑、与纳粹德国争夺海上生命线的解码战士。\n\n德国海军使用的“恩尼格玛”(Enigma)密码机,被认为是当时最坚不可摧的加密系统。它每天变更的密钥组合数量高达天文数字,依靠人力计算根本无法破解。布莱切利园汇集了英国最顶尖的语言学家、数学家和逻辑学家,但面对恩尼格玛的铜墙铁壁,最初的进展极其缓慢。\n\n正是在这里,图灵展现了他将抽象理论转化为强大物理工具的惊人能力。他意识到,对抗机器的,必须是更快的机器。基于波兰同行奠定的基础,图灵主导设计了一种巨型机电装置——“炸弹机”(Bombe)。这台机器并非一台通用计算机,而是一种专门的、高速的逻辑搜索引擎。它能模拟数台恩尼格玛机同时运转,通过对截获的德军密文进行高速逻辑排除,在数小时内找出当日的密钥。\n\n在布莱切利园,图灵是一个古怪而核心的存在。他会因为花粉过敏而在夏天戴着防毒面具骑车上班;他会用链条把自己的马克杯锁在暖气片上以防丢失。他缺乏社交技巧,不善言辞,却以不容置疑的智力权威领导着第8小屋(Hut 8)——负责破解德国海军密码的核心部门。他与同事琼·克拉克(Joan Clarke)——一位同样才华横溢的女数学家——之间曾有过短暂的婚约。他向她坦陈了自己的同性恋身份,克拉克表示并不介意,但图灵最终还是认为,这段婚姻对双方而言都将是一个谎言,从而解除了婚约。\n\n图灵和他的团队所取得的胜利是决定性的。历史学家普遍认为,布莱che园的工作,特别是对U型潜艇使用的“鲨鱼”密码的破解,将战争的进程缩短了至少两年,拯救了数以百万计的生命。然而,这一切都发生在绝对的机密之中。战争结束时,图灵无法向任何人言说他的功绩。他是一位匿名的英雄,一个藏在“恩尼格玛”这个巨大谜题背后的谜中人。他帮助世界赢得了胜利,却必须将自己最辉煌的成就,连同他真实的自我,一同锁进沉默的保险箱。\n\n✍️胜利的阴影\n战争的胜利本应是图灵事业的又一个起点。他怀揣着制造一台“电子大脑”——即真正的通用计算机——的雄心,先后加入了国家物理实验室(NPL)和曼彻斯特大学。他详细设计了“自动计算机”(ACE)的方案,其架构远比当时美国的设计更为先进和完整。然而,和平时期的官僚主义和工程实现的缓慢,让他感到窒息。他是一个习惯于思想奔跑的人,却被现实的泥潭拖住了脚步。他的方案被拖延、修改,最终的成果与他最初的设想相去甚远。\n\n与此同时,一种更深的阴影正悄然笼罩他的个人生活。在战后保守的英国,同性恋不仅是道德禁忌,更是刑事犯罪。随着冷战的开启,同性恋者还被视为容易被敌方敲诈勒索的安全隐患。图灵在布莱切利园的涉密背景,使他的个人生活受到了更严密的审视。\n\n他一面在曼彻斯特大学参与“曼彻斯特一号”计算机的早期软件工作,一面提出了后来闻名于世的“图灵测试”,用一个关于“模仿游戏”的思想实验,为“机器能否思考”这一人工智能的终极问题设定了第一个可操作的判断标准。他甚至开始将目光从计算转向生命的奥秘,研究起生物形态发生学,试图用数学方程解释动植物身上斑纹的形成规律,比如豹子为何是斑点而斑马为何是条纹。他正处在另一场科学革命的边缘。\n\n然而,社会留给他的时间已经不多了。胜利的荣光未能照亮他生活的角落,反而让他因为昔日的秘密身份而变得更加危险。那个曾经拯救了国家的人,正在被这个国家步步紧逼,推向悬崖。\n\n✍️被咬了一口的苹果\n悲剧在1952年降临。图灵家中失窃,他向警方报案。在警方的盘问下,不谙世事的他承认了自己与一位19岁青年阿诺德·默里的同性恋关系。盗窃案迅速被搁置,取而代之的是对图灵“严重猥亵”罪的起诉。\n\n在法庭上,图灵没有为自己辩护,他真诚地认为,两个成年人之间自愿的私密行为,不应受到法律的干涉。这种超越时代的坦诚,在当时的法官看来无异于自证其罪。他被判有罪,并面临两个选择:入狱服刑,或者接受“化学阉割”——通过注射雌性激素来“治疗”他的性欲。为了继续他的研究,图灵选择了后者。\n\n这种“治疗”对他而言是毁灭性的。激素注射带来了严重的生理和心理副作用,他身体发胖,精神萎靡,更重要的是,他感到一种深刻的屈辱。那个曾用大脑对抗一个帝国的人,如今连自己的身体都无法掌控。他的安全许可被吊销,被禁止进入曾经奋战过的布莱切利园,甚至在出国旅行时也受到监视。他被曾经服务过的国家,当作一个潜在的叛徒和道德上的病人。\n\n1954年6月7日,图灵被他的女管家发现死在自己的床上,年仅41岁。床头柜上,放着一个被咬了一口的苹果。法医的鉴定结果是氰化物中毒,死因被判定为自杀。那个苹果,似乎是他对自己童年最喜欢的童话《白雪公主》的最后模仿。\n\n然而,关于他的死,至今仍有疑点。他的母亲坚决不相信儿子会自杀,认为这是一场实验意外。图灵的家中本就有一个用氰化物进行电解实验的小实验室。那个苹果是否真的浸毒,或者他是否真的吃了那个苹果,都缺乏决定性的证据。但无论真相是自杀还是意外,一个不争的事实是:一个伟大的头脑,在一个充满偏见和敌意的社会里,被逼到了生命的绝境。那个被咬了一口的苹果,成为了一个永恒的符号,象征着知识的代价、禁忌的诱惑,以及一个天才被时代毒害的悲剧。\n\n✍️数字幽灵的复活\n图灵死后,他的名字在很长一段时间里归于沉寂。由于官方的保密协议,他在战争中的巨大贡献不为世人所知。在计算机科学领域,他的开创性理论也被后来的硬件发展所掩盖。他似乎只是一个名字古怪的数学家,最终因一桩不光彩的丑闻而结束了生命。\n\n然而,思想的种子一旦种下,终将冲破时间的冻土。随着计算机革命的深入和人工智能的兴起,人们越来越频繁地回溯到那个源头。他们震惊地发现,今天数字世界里几乎所有最深刻的概念——算法、通用计算、人工智能——都可以在图灵几十年前的论文中找到清晰的印记。他的“图灵机”成为衡量一切计算能力的理论标尺,“图灵测试”至今仍是人机界限的试金石。\n\n当布莱切利园的档案在70年代解密后,世界更是为之震动。一个被遗忘的战争英雄形象浮出水面。人们终于意识到,那个被当作罪犯处理的人,恰恰是拯救了西方文明的关键人物之一。\n\n迟到的正义,以一种国家级的忏悔形式到来。2009年,时任英国首相戈登·布朗代表政府,为当年对图灵的“骇人听闻的对待”正式道歉。2013年,英国女王伊丽莎白二世颁发皇家赦免令,宣布他的罪名无效。2021年,艾伦·图灵的头像被印在全新的50英镑纸币上,与他设计的“炸弹机”图纸和那句名言并列:“这不过是将来之事的前奏,也是将来之事的影子。”\n\n图灵的灵魂,在他死后半个多世纪,以一种王者归来的姿态,完成了对那个放逐他的世界的“复仇”。他不再是一个悲剧性的人物,而成为一个象征——象征着科学理性的力量,象征着对偏见的抗争,象征着一个超越了自己时代的头脑,最终被未来所拥抱。他的一生,始于孤独的奔跑,如今,全世界都在追随他的步伐,跑向一个由他最先用逻辑编码出的未来。\n\n#艾伦图灵 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“$\\theta$-$\\tau$ 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“theta-tau 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 #传奇人生","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,32],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1979559653236441157","view_count":56,"bookmark_count":0,"created_at":1760798774000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979559653236441157","full_text":"什么是风险?风险就是在你觉得已经考虑周全的时候,被你遗漏的东西。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[7,25],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3178231","name":"宝玉","screen_name":"dotey","indices":[0,6]}]},"favorited":false,"in_reply_to_screen_name":"dotey","lang":"zh","retweeted":false,"fact_check":null,"id":"1979397787453395335","view_count":136,"bookmark_count":0,"created_at":1760760182000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979347434586402977","full_text":"@dotey 我擦,控制不好,一刀下去,耳朵👂没了","in_reply_to_user_id_str":"3178231","in_reply_to_status_id_str":"1979347434586402977","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[10,91],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"44196397","name":"Elon Musk","screen_name":"elonmusk","indices":[0,9]}]},"favorited":false,"in_reply_to_screen_name":"elonmusk","lang":"en","retweeted":false,"fact_check":null,"id":"1979483972192309357","view_count":54,"bookmark_count":0,"created_at":1760780730000,"favorite_count":7,"quote_count":0,"reply_count":0,"retweet_count":1,"user_id_str":"871838994002321410","conversation_id_str":"1979431839824777673","full_text":"@elonmusk I suppose if it can help me \"grok\" why I can never get out of bed in the morning.","in_reply_to_user_id_str":"44196397","in_reply_to_status_id_str":"1979431839824777673","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,42],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3122661542","name":"Yangyi","screen_name":"Yangyixxxx","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"Yangyixxxx","lang":"zh","retweeted":false,"fact_check":null,"id":"1979510334013775937","view_count":232,"bookmark_count":0,"created_at":1760787015000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979496155571732763","full_text":"@Yangyixxxx 谷歌账号为啥还要囤?随时注册随时有吧?难道后面会限制注册吗?","in_reply_to_user_id_str":"3122661542","in_reply_to_status_id_str":"1979496155571732763","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,72],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"885086674828578816","name":"Mr Panda","screen_name":"PandaTalk8","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"PandaTalk8","lang":"zh","retweeted":false,"fact_check":null,"id":"1979551640287089135","view_count":623,"bookmark_count":1,"created_at":1760796863000,"favorite_count":3,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979427457158779383","full_text":"@PandaTalk8 是的,这也是我喜欢用cursor的原因,可以设置,把每一步做的修改展示出来,手动确认,虽然效率低点,但是进步也是飞快的。","in_reply_to_user_id_str":"885086674828578816","in_reply_to_status_id_str":"1979427457158779383","is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-20","value":3,"startTime":1760832000000,"endTime":1760918400000,"tweets":[{"bookmarked":false,"display_text_range":[0,82],"entities":{"hashtags":[{"indices":[3292,3295],"text":"哲学"},{"indices":[3296,3300],"text":"心理学"},{"indices":[3301,3304],"text":"思维"},{"indices":[3305,3308],"text":"认知"},{"indices":[3309,3312],"text":"知识"},{"indices":[3313,3316],"text":"逻辑"},{"indices":[3318,3324],"text":"斯多葛主义"},{"indices":[3325,3334],"text":"Stoicism"},{"indices":[3335,3338],"text":"理性"},{"indices":[3339,3344],"text":"情绪管理"},{"indices":[3345,3350],"text":"思维模型"},{"indices":[3351,3356],"text":"人生哲学"},{"indices":[3357,3362],"text":"精神自由"},{"indices":[3363,3367],"text":"控制力"}],"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}]},"favorited":true,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1979903286498209903","view_count":96,"bookmark_count":1,"created_at":1760880702000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979903286498209903","full_text":"最近几天中国军方发生的新闻,想必大家都看到了,被处罚的当事人肯定会发生剧烈的心理波动。\n\n不仅仅是新闻中的当事人,甚至我们自己的遇到各种变动时,心理上也会产生波动。\n\n今天不谈新闻的本身,只聊一个西方的哲学理念“斯多葛主义”,即,如何在“个体意志”与“外部现实”之间发生剧烈冲突时,采用有效的方式缓解这种心理波动。\n\n🍯题设是这样的:\n一位在职业生涯中投入了数十年心血的人,因一次不可预测的市场动荡或内部权力重组,突然发现自己被边缘化或彻底清退。他所构建的身份认同、社会地位和经济保障似乎在一夜之间崩塌。\n\n这种经历带来的冲击,不仅仅是身份和地位的丧失,更是一种深刻的“存在性眩晕”。个体被迫直面一个事实:他所依赖的、用以定义自我价值的一切(认可、成功、财富、他人的看法),其本质是脆弱的、不可预测的,并且完全处在外部力量的掌控之下。\n\n这种“个体意志”与“外部现实”之间的剧烈冲突,揭示了一个贯穿人类经验的根本性抽象问题:当个体追求的东西完全依赖于外部环境的恩赐时,人类的心智系统如何可能维持稳定、理性和内在的安宁?\n\n斯多葛主义(Stoicism)——一个源自古希腊和罗马的、历经数百年锤炼的思想体系——正是为系统性地回应这一“存在性脆弱”问题而构建的。它并非一套旨在提供短暂安慰的“积极思维”,而是一个严谨的、近乎苛刻的、基于逻辑的认知操作系统。其唯一目标是,通过重新校准个体对“控制”、“价值”和“现实”的根本定义,来锻造一种不受外部命运波动所侵扰的精神自由(即人类的繁荣或至善)。\n\n这里拆解斯多葛主义的三个核心运作原则,以阐明这一思想体系如何对人类的苦难进行“诊断”,并提供一个内在框架。\n\n🎯核心原则一:控制二分法\n☯️1. 概念阐述:斯多葛主义的逻辑起点是对人类所有经验进行绝对的、无条件的分类。这一原则(以爱比克泰德的论述最为著名)主张,世间万物被清晰地划分为两大类:第一类是“我们能完全控制的”,第二类是“我们无法完全控制的”。 “可控的”事物仅限于我们内在的心智活动:我们的判断、我们的意图(或意志)、我们的欲望和我们的厌恶。 “不可控的”事物则包括其他一切:我们的身体(健康或疾病)、我们的财产、我们的声誉、他人的行为、以及最终的死亡。 斯多葛主义的纪律要求个体将100%的认知资源和意志力,仅用于前者;并对后者培养一种理性的、不动声色的“接纳”。\n\n☯️2. 现实现象:一个极端的例证是詹姆斯·斯托克代尔(一位爱比克泰德的研究者)的经历。作为一名战俘,他在越南被关押了七年半,经历了长期的酷刑、单独监禁和完全的不确定性。在这种情境下,个体对外部世界(释放日期、身体待遇、生存环境)的控制权被剥夺至零。许多意志薄弱的战俘在这种情况下彻底崩溃,因为他们将“希望”定义为“明年圣诞节前被释放”或“停止酷刑”。\n\n☯️3. 解决方式:斯多葛主义分析指出,传统意义上的“希望”在此刻是有害的,因为它将精神的安宁锚定在一个“不可控”的外部事件上。斯托克代尔的幸存,依赖于“控制二分法”的严格应用。 他清醒地认识到,他无法控制“是否被释放”或“是否被折磨”,但他100%地控制着“他如何回应折磨”、“他是否出卖情报”以及“他是否保持内心的尊严”。 通过将“希望”的定义从“获得自由”(不可控)转移到“有尊严地承受监禁”(可控),他重新定义了“胜利”的战场。这一原则的内在逻辑是:它是一个防御性的认知防火墙。它通过主动放弃对“不可控领域”的无效投资(焦虑、恐惧、徒劳的希望),将个体的能动性完全集中在唯一真正属于他的领域——他自己的意志和判断。\n\n🎯核心原则 二:价值的中立性\n☯️1. 概念阐述:这是“控制二分法”的必然推论。如果一件事物是“不可控的”,那么根据斯多葛主义的逻辑,它在“道德”上必须是中立的。这意味着,所有“不可控”的事物——包括健康、财富、痛苦、声誉甚至死亡——本身既不是“善”,也不是“恶”。它们被统称为“无关紧要之物”(或称“中立物”)。 唯一的“善”是“美德”(即理性的、符合自然和正义的判断与行为);唯一的“恶”是“恶习”(即非理性的、错误的判断与行为)。 当然,斯多葛主义承认某些“中立物”是“可取的”(如健康、财富),而另一些是“不可取的”(如疾病、贫穷),但它们绝对不能被提升到“善”或“恶”的高度。\n\n☯️2. 现实现象:以“社会声誉”为例。在当代社会,个体常常因社交媒体上的负面评价、公开的批评职业污点而经历极端的心理痛苦,甚至导致“社会性死亡”的恐惧。个体的自我价值感与“他人的看法”(一种经典的“不可控”外部事物)被深度绑定。一个负面的匿名评论,足以摧毁一个人一天的安宁。\n\n☯️3. 解决方式:斯多葛主义对这种痛苦的“诊断”是,个体犯了一个致命的“范畴错误”。他错误地将“声誉”(一个“中立物”)当作了“善”本身。 这一原则的逻辑功能是“价值重估”。它系统性地剥离了外部事物上的“道德标签”。如果声誉是“中立的”,那么他人的赞美(可取的)和诋毁(不可取的)都不能增加或减少你作为理性个体的核心价值(即你的美德)。 这种价值体系的转换,其目的是“切断”外部事件与内部安宁之间的直接因果链。如果“坏名声”不是一种“恶”,那么对它的恐惧就是非理性的。这种逻辑操练旨在实现一种极端的心理独立:个体的价值感完全自给自足,仅由其“内在美德”来定义,从而对外部的赞誉或谴责“免疫”。\n\n🎯核心原则三:认知的首要性\n☯️1. 概念阐述:如果说前两个原则是“世界观”的设定,那么第三个原则就是“心理实践”的核心机制。斯多葛主义认为,使我们陷入混乱和痛苦的,不是“事件”本身,而是我们对这些事件的“判断”或“看法”。 一个外部事件(例如,引言中提到的“身份突变”)本身只是一个“中立”的事实。它之所以造成痛苦,是因为个体立即对其附加了一个判断,如:“这是一场灾难”、“我的人生失败了”、“我一文不值”。 斯多葛主义的核心训练,就是“同意的训练”——在“刺激”(外部事件)和“反应”(情绪痛苦)之间,强行插入一个“认知审查”的步骤。\n\n☯️2. 现实现象:以“突发性丧失”为例,例如亲人的骤然离世。这是人类经验中最深刻的痛苦之一。即时的、压倒性的心理作用是:“这是无法承受的”、“这是世界上最痛苦的时刻”、“我的生活彻底失去了希望”。这种印象会立即引发剧烈的悲痛。\n\n☯️3. 解决方式:斯多葛主义在此处展现了其最“临床”的一面。它不否认生理的痛苦或情感的冲击(这些被视为自然的、“不可取的”中立物)。但它严格地分析上述的“判断”。 它会系统性地质询这些判断:“死亡”是一个“不可控”的自然事件吗?是的。根据原则二,它是一种“恶”吗?不是(它是一个“中立物”,尽管是“不可取的”)。那么,“我的生活彻底失去了希望”这个判断是基于现实的吗?不是,它是一个基于“错误价值认定”的非理性“同意”。 这种内在逻辑的运作,不是为了“消除”悲伤,而是为了“拒绝”由非理性判断所导致的、具有毁灭性的“激情”。它旨在将情感反应限制在对其“不可取的中立物”的自然反应上,同时防止这种反应升级为对“自我”和“现实”的毁灭性哲学判决。这一原则是该系统的执行程序,旨在通过审查和修正“判断”,来保护心智的“指挥中心”免受非理性情绪的颠覆。\n\n斯多葛主义不是一套用于“感觉良好”的安慰性信条,而是一个旨在彻底“重塑”个体认知结构和价值体系的训练思想。它首先通过“控制二分法”划定意志的边界;接着通过“价值中立性”剥离外部事物的道德属性;最后通过“认知的首要性”提供一套实时的“判断审查”工具。\n\n这一思想体系的激进之处在于,它将人类所有的“苦难”最终归因于一种“认知错误”——即错把“不可控”的当作“可控”的,以及错把“中立的”当作“善或恶”的。因此,它所追求的“安宁”,并非来自外部世界的顺遂,而是来自内部逻辑的绝对一致和对现实的清醒认知。它是一个要求持续实践、高度自律、甚至反直觉的思想操作系统,其最终目的是在承认外部世界完全不可控的前提下,实现内在精神的绝对自主和安宁。\n#哲学 #心理学 #思维 #认知 #知识 #逻辑\n\n#斯多葛主义 #Stoicism #理性 #情绪管理 #思维模型 #人生哲学 #精神自由 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step-by-step),然后看着它奇迹般地解决那些原本棘手的复杂问题。从数学题到逻辑推理,这句简单的指令仿佛成了一句解锁模型潜能的“咒语”。\n\n但你是否想过,这句咒语为什么如此有效?大多数人可能会直觉地认为,这是给了模型更多的“思考时间”或计算空间来处理问题。然而,一篇名为《从稀疏依赖到稀疏注意力:揭示思维链如何提升Transformer的样本效率》的研究指出,真正的原因远比这更深刻,也更令人惊讶。\n\n本文将揭示这篇论文背后隐藏的四大关键洞见,改变你对思维链(Chain-of-Thought, CoT)的传统认知。\n\n🔥1. 核心优势并非更强大,而是学得快:指数级的样本效率提升\n思维链的首要魔力,并非增强模型的“表达能力”(expressiveness),而在于大幅提升其“学习效率”(sample efficiency)。这听起来可能有些反直觉,因为我们总觉得更强的能力来自于更强的模型结构。但论文的理论证明指出,即便是最简单的单层Transformer模型,也具备足够的表达能力来解决奇偶校验问题。问题在于,它们就是学不会如何去解。\n为了证明这一点,研究者们设计了一个精妙的实验:奇偶校验(Parity)问题。简单来说,就是从一长串二进制数中,找出几个预先设定的“秘密”数字,然后判断这些秘密数字的和是奇数还是偶数。这个问题本身结构简单,但对神经网络来说却是一个经典的难题。\n\n实验结果的对比是惊人的:\n 🎓• 没有CoT的情况: 当模型只能看到问题和最终答案时,实验结果与理论分析都表明,它需要指数级的训练样本才能学会。这意味着,随着问题难度(秘密数字的数量k)的增加,所需的训练数据量会呈爆炸式增长,很快变得不切实际。\n 🎓• 使用CoT的情况: 当研究者将解题步骤(例如,每次只累加一个秘密数字的中间结果)作为CoT提供给模型时,模型仅需近似线性的样本就能轻松学会。正如论文的实验和理论所揭示的,学习效率获得了指数级的提升。\n\n结论:CoT的真正价值在于极大地提升了样本效率。它像一位高效的导师,让模型能用极小的代价,学会那些原本需要海量数据才能掌握的困难任务。\n\n🔥2. 成功的秘诀:稀疏注意力机制\nCoT之所以能实现这种惊人的效率提升,关键在于它为数据引入了一种名为“稀疏的序列依赖关系”(sparse sequential dependence)的特性。当一个复杂问题被分解为CoT的简单步骤后,每一步的计算通常只需要依赖前面内容中的极少数关键信息。例如,在奇偶校验的CoT中,计算第三步的结果只需要第二步的结果和第三个秘密数字,而与其他所有信息无关。\n\n这种稀疏的依赖关系,恰好能够引导Transformer模型内部的注意力机制学会一种高效的工作模式——“稀疏注意力”(Sparse Attention)。模型不再需要漫无目的地关注所有输入,而是学会了将注意力高度集中在少数几个当前步骤最相关的部分上。\n\n论文通过实验清晰地展示了这一点:\n 🎓• 可解释的注意力图: 训练完成后,模型的注意力模式变得异常清晰。从论文实验可以看出,在CoT的每一步计算中,注意力都像激光一样,精确地聚焦到了当前步骤所需的那一个“秘密”数字上,而完全忽略了其他无关的输入。\n 🎓• 注意力熵与准确率的关系: 研究者使用“归一化注意力熵”来衡量注意力的稀疏程度(熵越低,注意力越集中)。他们发现,模型的注意力变得越稀疏,其解决问题的准确率就越高。实验数据明确显示,当注意力熵急剧下降时,模型的准确率会随之跃升至100%。\n\n结论:CoT就像一位导师,教会了模型如何“抓重点”。这种学会聚焦、避免在海量信息中迷失的能力——即稀疏注意力——正是其高效学习的核心机制。\n\n🔥3. 意外发现:没有CoT,模型也能自学稀疏性,但过程极其漫长\n\n如果稀疏注意力真的是关键,那么一个模型即使在没有CoT引导的情况下,也应该只有在它以某种方式自发学会这种稀疏性之后才能成功。研究者们设计了一个巧妙的实验来验证这一点。他们进行了“多轮训练”(Multi-pass Training):在不使用CoT的情况下,让模型在同一个小型数据集上反复、高强度地训练。\n\n结果令人震惊,并且有力地证实了这一假说。首先,经过足够长时间的“死磕”,模型最终竟然也学会了解决奇偶校验问题。通过观察模型内部的变化,研究者发现,成功的转折点同样在于其内部自发地发展出了稀疏的注意力模式。在训练初期,模型表现不佳,注意力熵很高;随后进入一个漫长的平台期,虽然损失函数没有明显下降,但其注意力熵却在持续悄然降低;一旦注意力变得足够稀疏,模型的准确率就会像顿悟一般突然飙升。\n\n而实验中最具颠覆性的发现来自于对不同数据集规模的比较:\n 🎓• 在5万个样本的小数据集上反复训练,模型最终成功了。\n 🎓• 然而,当研究者把数据集扩大到100万个样本时,模型反而失败了。训练损失和注意力熵始终居高不下。\n\n结论:这个反直觉的结果意义重大。它证明了“稀疏注意力”是解决这类问题的根本,而不仅仅是数据量的堆砌。CoT提供了一条高效的“捷径”,直接引导模型走向稀疏性。而没有CoT的“蛮力学习”则像是在黑暗中摸索,虽然可能最终也能跌跌撞撞地找到通往稀疏性的道路,但这个过程缓慢、低效且充满不确定性——甚至更多的数据反而可能成为一种干扰。\n\n🔥4. 从理论到现实:真实世界的大模型同样遵循此道\n以上所有发现,并不仅仅适用于奇偶校验这样的合成问题。研究者们进一步在真实世界的数学问题数据集GSM8K上验证了他们的理论,发现这一机制在真实的大模型上同样适用。\n 🎓• CoT数据诱导稀疏性: 实验结果表明,当一个预训练的通用大模型(如Qwen2-7B)处理带有CoT解题步骤的数学题数据时,其注意力熵显著低于处理没有CoT的“问题-答案对”数据。这证明了真实世界中的CoT数据同样具备引导模型形成稀疏注意力的结构。\n 🎓• CoT微调增强稀疏性: 研究者进一步比较了通用模型(Qwen2-7B)和在数学CoT数据上微调过的专业模型(Qwen2-Math-7B)。结果显示,经过CoT数据微调的数学模型,在处理相同问题时,其注意力模式变得更加稀疏。\n\n结论:CoT引导模型学习稀疏注意力的机制是普适的。无论是处理理论问题还是真实世界的复杂任务,这种机制都在发挥作用。模型不仅能在训练中学会这种高效的推理模式,而且专门针对CoT数据进行优化的模型,会更擅长运用这种能力。\n\n重新理解“思考”的本质\n现在,让我们回到最初的问题:为什么“一步一步地思考”这句咒语如此神奇?\n\n这篇研究给出了一个清晰而深刻的答案:CoT的魔力不在于赋予模型新的超能力,而在于通过引入稀疏的依赖关系,将一个难以学习的问题转化为一个容易学习的问题,从而极大地提升了模型的学习效率。其背后最核心的机制,就是引导模型形成了稀疏和可解释的注意力模式。\n当我们让模型“一步一步思考”时,我们不仅仅是在给它时间,更是在给它一个结构化的、稀疏的思考框架,帮助它学会如何聚焦,如何从复杂性中提炼出关键信息。\n\n这不禁让我们思考一个更深层次的问题:既然我们知道了“稀疏性”是解锁高效推理的关键,那么未来的研究是否能设计出一种全新的模型架构,让它无需依赖“一步一步”的外部提示,就能天生高效地学习和捕捉世界中的稀疏因果关系呢?这或许是通往更强大、更通用人工智能的下一条路径。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-27","value":0,"startTime":1761436800000,"endTime":1761523200000,"tweets":[{"bookmarked":false,"display_text_range":[0,144],"entities":{"hashtags":[{"indices":[878,884],"text":"提示词工程"},{"indices":[885,889],"text":"LLM"},{"indices":[890,895],"text":"AIGC"},{"indices":[896,902],"text":"大语言模型"},{"indices":[903,908],"text":"人工智能"},{"indices":[909,914],"text":"AI研究"},{"indices":[915,933],"text":"PromptEngineering"},{"indices":[934,946],"text":"LLMResearch"},{"indices":[947,952],"text":"AI理论"},{"indices":[953,958],"text":"机器学习"}],"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}]},"favorited":false,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1982308237241446694","view_count":107,"bookmark_count":0,"created_at":1761454087000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1982308237241446694","full_text":"揭开提示工程的神秘面纱\n\n我们在与大型语言模型(LLM)打交道时,“提示工程”常常给人一种近乎“魔法”的印象。\n\n在调教提示词时,我们在依赖直觉和反复试错,像炼金术士一样,通过不断调整措辞、增删词语,试图找到那句能让模型输出最佳结果的“咒语”。这个过程充满了不确定性,但其效果又出奇地好。\n\n这引出了一个深刻的谜题:为什么那些通过手动精心调整,甚至是自动化算法在训练数据上搜索出来的“完美”提示词,不仅在训练数据上表现出色,也往往能在全新的、模型从未见过的数据上表现优异?按照传统机器学习的经验,这种针对训练数据的“过度优化”很容易导致“过拟合”(即模型只是死记硬背了训练样本的答案,而失去了泛化到新问题的能力)。然而,提示工程似乎天然地对这种陷阱免疫,为什么呢?\n\n最新的研究表明提示工程远非简单的反复试错,其背后隐藏着深刻的计算机制和统计学规律。\n\n以下是5个研究结论:\n\n1. 提示词即程序,而非指令。输入提示词是在动态“配置”LLM,即时构建一个“虚拟神经网络”。你的措辞是在“编程”,直接定义网络架构和权重。\n\n2. 单个注意力头具备“万能逼近器”潜力。理论证明,一个注意力头配合精巧的前缀(prefix-tuning),即可模拟任意连续函数。关键是激发核心组件的内在计算力,而非仅依赖模型规模。\n\n3. 手调提示词的泛化保障:自然性。PAC-Bayes理论表明,提示词不易过拟合,因为受“自然语言”约束。一个有效的提示词必须是“自然的”(KL散度低),这限制了其为迎合训练数据而产生的复杂性。\n\n4. 长提示词(CoT)构建更深的“虚拟网络”。“思维链”有效,不只因提供了更多上下文。更长的提示词在功能上构建了更深、更复杂的虚拟计算网络,从而降低复杂任务的近似误差。\n\n5. 无关信息是“灾难”,而非“干扰”。提示词中的“噪声”词元会带来一个无法消除的误差下限。无论有效部分多长,模型性能都会被“卡”在低水平。保持高信噪比是前提,不是优化。\n\n提示词工程正从艺术转向科学。理解其“编程”和“函数逼近”的本质,是系统化设计“超级提示”的基础。\n\n#提示词工程 #LLM #AIGC #大语言模型 #人工智能 #AI研究 #PromptEngineering #LLMResearch #AI理论 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problem)。研究发现,即使是一个简单的单层Transformer,其模型结构也已经具备了表达奇偶校验函数解法的能力。然而,令人惊讶的是,如果没有思维链的引导,模型需要指数级数量的训练样本才能学会这个函数,这在实践中几乎是不可能的。\n相比之下,当为模型提供带有思维链的训练数据时(即包含计算过程的中间步骤),同一个Transformer模型仅需多项式级的样本就能学会。这是一个在样本效率上指数级的提升。正如一篇研究论文所指出的:\n“在不使用CoT时,大语言模型常常在一些简单任务上遇到困难——比如计算‘strawberry’这个单词里有多少个‘r’。考虑到模型尺寸越来越大,这类任务超出其表达能力的上限似乎是不太可能的。”\n这项研究进一步揭示,思维链通过在输入中引入稀疏的序列依赖关系,引导模型学习到稀疏且可解释的注意力模式,这使得模型能将注意力集中在下一步计算所需的少数关键信息上,而不是在庞杂的输入中迷失方向,从而极大地简化了学习过程。这说明,思维链的核心价值之一在于它让模型能更高效地从数据中学会推理,而不是赋予它一种原本不具备的能力。\n\n3. 分步推理使AI在面对信息不完美时更加稳健\n\n现实世界的数据充满了噪声、错误和不完整的信息。无论是人类标注的数据,还是网络上抓取的内容,都很难做到完美无瑕。这对依赖数据学习的AI模型构成了巨大挑战。\n研究表明,在这种不完美的环境下,思维链相比标准的上下文学习(In-Context Learning, ICL)展现出显著的优势。ICL严重依赖于示例的质量——如果示例中的答案是错误的,模型很可能会被误导。然而,思维链的分步过程允许模型超越单个答案的对错,去学习和提取其背后正确的推理过程。\n一项实验有力地证明了这一点:一个使用思维链数据训练的Transformer模型,即使在其30%的训练数据中,中间步骤存在损坏或缺失,最终的推理准确率依然非常高。这意味着,模型能够透过不完美的数据,“领悟”到解决问题的正确逻辑和方法。这种稳健性对于AI在真实世界中的应用至关重要,它使得模型能够从不完美但更接近现实的人类数据中,学习到可靠的推理能力。\n\n4. 从统计学上看,CoT几乎总是更优选择,但“坏思路”可能有害\n\n从统计学的角度看,思维链可以被理解为一种“贝叶斯模型平均”(Bayesian Model Averaging, 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code,后端的模型换做其他,但是不知道效果会不会打折扣?","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":1,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1983562337614520416","view_count":2,"bookmark_count":0,"created_at":1761753088000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983562337614520416","full_text":"北大博士任教985高校三年:考核未过,背着百万房贷离开\n\n“措手不及!”今年元旦刚过,一纸“不再续聘”通知“传”到了36岁的程欣手中。月末就是春节,程欣本打算和妻儿过个好年,却被催促着务必尽快办完离职手续,清空办公室。\n在考核前,他曾多次询问院系相关领导,得到的答案是“无需担心”。因此,他并未着手寻找新的工作,谁知迎来的是冷水浇头。\n\n时间拉回2021年,程欣作为“优秀博士学位论文”的获得者,从北京大学毕业。当时,他一共拿到33个工作offer,最终选择入职了这所心仪的985高校。\n\n程欣经历了许多:入职不到一年,为了完成考核,他不得不放弃深耕10年的方向,转向更“热门”、便于发论文的课题。他曾因教学评价高而获得“教学优秀奖”,还带领本科生拿到“挑战杯”国家级一等奖,但这些对考核毫无助力。\n\n但过去的经历依然历历在目。程欣提出了一个深埋心中的疑问:学术,到底应该被当成一份功利化考量的工作,还是一份理想追求?\n\n以下是他的讲述:\n\n📚启程\n\n2021年夏天,我从北京大学博士毕业,是优秀博士学位论文的获得者。从硕士到博士,我都跟随同一位导师研究社会科学,围绕同一个主题深入做研究,发表了10余篇论文。\n\n我的导师是一位纯粹的研究型学者,整个师门的氛围是潜心学术的。我博士期间的目标就是毕业后成为大学老师,能够做自己感兴趣的研究,同时培养学生。\n\n毕业季,我投出200多封邮件,最后拿到了33个offer,其中包括某Top2大学马克思主义学院、北京一所师范大学的哲学系、承诺给编制的西部某“双一流”大学……\n\n最终,我下定决心入职这所985高校,原因是多方面的。首先是导师的建议和我理想主义的想法——当时,师门里还没有同学去往那座城市,我想做个开拓者;其次,引进我的老师很有人格魅力,我感觉遇到了“伯乐”;此外,虽然合同上写的考核时间只有三年,但我得到的口头承诺是“3+3”,即首聘三年后,若考核未完全达标,学校通常会续聘三年。我想,虽然我的方向偏冷门一点,但6年的时间可以去“拼一把”。\n\n刚入职时,想法是很明确的:教学和科研两条腿走路。那时学校还有一条“教学通道”——如果青年教师在论文发表和课题申请上稍有不足,通过教学依然可以评职称、留下来。\n\n在教学方面,我投入了巨大热情,在2023年拿到了“校教学优秀奖”,并带领本科生团队拿到“挑战杯”国家级一等奖,后者在学院是史无前例的。\n\n在科研方面,我做了一个有点痛苦的决定。入职不到一年,我意识到,坚持原有的冷门方向,意味着不可能达到考核要求。正好有一门热门主题课程的老师临近退休,由我接手。为了转换方向,我跟着本科生坐在教室里,认认真真听了那学期的每一堂课。\n\n我们系的氛围很好,领导、同事给了我许多支持和帮助。经人介绍,我结了婚,把所有存款拿来买了房子,并贷款100多万。我和爱人的收入加起来不高,一个人支撑房贷,一个人支撑生活用度,两个人过着普通的小日子。这样“安稳”的生活,已经让我心满意足。\n\n📚变故\n\n2023年,学校的一纸新政彻底堵死了“教学通道”。其规定,副高职称以下的青年教师,原则上不允许再承担课程教学。实际操作是,学校层面直接取消了我们这些不符合职称要求的青年教师授课排课资格。\n\n我并没有太放在心上,毕竟在校工作期间,我发表了多篇论文,手上还有两篇“已录用”的论文。并且2024年临近考核期时,我反复向院系领导确认,得到的回复是“不用担心,老人老办法,原来的3+3承诺依然生效”。在我之前的老师,有些超出了6年合同期的,还根据情况给他们续了一两年,以达到论文发表要求。因此,我天真地以为自己“没问题”,也没有着手去找新的工作。\n\n2024年12月30日,我做工作答辩。次日,学院发布了对我“不再续聘”的决定,这个通知并未送达我本人,只是发布在公告墙上。两天后,我通过他人得知:我失业了。\n\n失业的第一周,整个人都是崩溃的。我还是会习惯性地拿起书,或打开电脑,但又马上意识到,我没有工作了。当时临近春节,没什么找工作的窗口,我在家发呆了整整一个月,还不时收到“尽快办理离职手续、清空办公室”的催促。\n\n收入断了,孩子出生不久,我还面临还房贷、养家的压力。“醒”来之后,我赶紧抓住春季招聘的窗口。最让我难受的是:我失业时,年龄刚满36岁,有很多好机会却将年龄卡在35岁,我无法申请。\n\n与家人反复商量后,我选择了一所南方沿海城市的高校。这所学校的名气没那么大,但考核要求不高,且薪资是之前的两倍多,还为我们一家三口提供了公寓。\n\n妻子安慰我:“100多万的房贷可以慢慢还,就当没来过,好歹还成了个家。”如今,我们已经举家搬迁到新的城市,从头开始。\n\n📚反思\n\n回头再看,我不禁反思:为何在考核制度下,我成了被淘汰的“不合格产品”?\n\n我必须先替学院的领导、同事说句公道话——他们都是很好的人,无论是工作期间对我的支持,还是找新工作时对我的安慰和帮助。那么,我面临的痛苦究竟来源于哪里呢?\n\n首先,制度存在“不明确地带”且不断变化。我承认,2024年底接受考核时,自己确实没有达到考核要求,即“三年内拿到一个国家级课题(或引进经费至少20万),同时发表至少5篇符合学校要求的期刊论文”。\n\n然而,这些要求是2024年学校的内部文件下发的“新办法”,并未写进我的入职合同,入职时也有“教学通道”和“3+3”的承诺,考核操作是比较“柔和”的。\n\n实际上,一个普通青年教师仅凭“个人”努力,极难甚至绝无可能在三年内达到如此严苛的标准。我和身边的朋友日均工作12~18小时,但大多是“非升即走”的失败者。\n\n我观察发现,高校的人才引进制度已经非常“市场化”了,永远有更年轻、更“卷”的人拿到职称,考核要求水涨船高,没能跟上节奏的“老人”惨遭淘汰。竞争是无情的,许多学校集结大批青年研究人员,学校的排名和论文发表数量大幅提升,但这对青年教师的影响很不好。\n\n其次,论文的发表存在着大片“灰色地带”。作为大学老师,每个星期打开邮箱,都能收到一大堆“代发论文”的邮件,其中期刊的等级被明码标价。\n\n此外,作者的身份职级影响着论文发表。我亲身经历过,一篇论文在投稿时顺利通过审核,马上要发表了,编辑明确告诉我:“找一个正教授挂名,我们马上给你发表。”我当时想了很久,却没舍得,因为那篇论文是我花费很多心血的得意之作。\n\n我们会看到,一位知名学者一年论文的发表量,超过一整所大学。被指出后,这种现象依然没有收敛,反而愈演愈烈。\n\n无论是花钱“买”论文,还是找“大佬”带,都是普通青年教师难以承担的成本。\n\n📚平庸之恶\n\n除了我自己的亲身经历,我还想举三个身边朋友的案例。\n\n我的一位师弟,是大家心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"media":[{"display_url":"pic.x.com/WqskjWwwxp","expanded_url":"https://x.com/Georgeistrue/status/1983563770892112338/photo/1","id_str":"1983563747445919744","indices":[110,133],"media_key":"3_1983563747445919744","media_url_https":"https://pbs.twimg.com/media/G4cIuAvbUAACTwe.jpg","type":"photo","url":"https://t.co/WqskjWwwxp","ext_media_availability":{"status":"Available"},"features":{"large":{"faces"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心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[9,19],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"1164388321545449472","name":"卫斯理","screen_name":"imwsl90","indices":[0,8]}]},"favorited":false,"in_reply_to_screen_name":"imwsl90","lang":"zh","retweeted":false,"fact_check":null,"id":"1983467757141389805","view_count":1325,"bookmark_count":0,"created_at":1761730539000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983458922406236328","full_text":"@imwsl90 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se,"fact_check":null,"id":"1979226402886160397","view_count":118,"bookmark_count":1,"created_at":1760719321000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979226402886160397","full_text":"今天看了一篇文章,是关于“计算机之父”和“人工智能之父”——艾伦·图灵的。\n\n看完之后,我真切地感受到:在科技史最耀眼的光芒背后,藏着人类社会最深的阴影。\n图灵并非完美无瑕的天才。他口吃、内向、不擅交际,常常被同龄人视为怪人。而讽刺的是,正是这种“格格不入”,让他看清了机器与人类思维的边界,也让他在战争中用逻辑和算法击败了纳粹的“恩尼格玛”密码机,拯救了数百万人的生命。\n\n但也是这种“不谙世事”的真诚,害死了他。当他坦率承认自己与男性的恋情时,社会没有给予理解与尊重,反而用法律和化学药剂摧毁了他的身体与尊严。\n\n他用数学奠定了计算机的根基,却被非理性的偏见压垮。\n他为世界争取了未来,却没能在自己的时代被宽恕。\n\n也许,人类真正的考验,不在于能否让机器思考,而在于能否学会以更高的智慧去理解“人”。\n\n🎭艾伦·图灵:编码天空的孤独奔跑者\n艾伦·图灵的一生,像一台他自己构想的通用机器,被输入了两个截然相反的程序。一个程序由纯粹的逻辑、数字和宇宙秩序构成,驱动他奔向人类智识的巅峰,奠定了我们今天整个数字时代的地基;另一个程序则由社会的偏见、法律的冷酷和人性的脆弱写就,将他拖入个人悲剧的深渊,最终在一只浸毒的苹果旁戛然而止。他是一位用思想重塑20世纪的先知,却被他誓死保卫的世界无情地放逐。要理解图灵,我们不仅要追溯他的天才轨迹,更要凝视那个时代投射在他身上的、巨大而扭曲的阴影。\n\n✍️孤独的奔跑者\n艾伦·马西森·图灵于1912年诞生于一个往返于英帝国与印度的家庭,这种疏离的成长环境似乎从一开始就预示了他一生的孤独。他的童年是在陌生的寄宿家庭和冰冷的公学制度中度过的,在那里,他对科学——尤其是化学和数学——近乎本能的热爱,被视为对古典教育的公然挑衅。老师们在评语中抱怨他“无可救药地偏科”,希望他成为一个“受过教育的人,而非仅仅是一个科学家”。然而,图灵的思维早已在另一个维度上奔跑。当同龄人还在背诵拉丁文时,他已经独立领悟了爱因斯坦的相对论,并能从更基础的牛顿定律中推导出对其的质疑。\n\n他的世界是抽象符号和自然规律构成的内在宇宙,现实世界的人际交往则让他显得笨拙、害羞,甚至有些口吃。他是一个长跑爱好者,时常独自一人在乡间小径上奔跑数十公里。这不仅仅是锻炼,更像一种仪式——在肉体的极限疲惫中,他的大脑得以进入最纯粹、最高效的思考状态。奔跑时,世界简化为呼吸的节奏、肌肉的酸痛和脑海中不断旋转的逻辑链条,这正是他所熟悉和热爱的状态。\n\n在这片孤独的智识荒原上,出现过唯一的光源——克里斯托弗·莫尔科姆。他是图灵在舍伯恩公学唯一的知己,一个同样对科学充满热情的少年。他们之间的情感,超越了简单的友谊,是一种深刻的智识共鸣与灵魂契合。他们一同探讨哥德尔不完备定理,争论量子力学的奥秘,梦想着未来在剑桥携手并进。克里斯托弗是图灵与这个格格不入的世界之间唯一的桥梁。然而,1930年,这座桥梁轰然断裂。克里斯托弗因牛结核病猝然离世。\n\n挚友的死亡,成为图灵人生的第一个巨大创伤,也催生了他哲学思考的第一个核心命题。他反复写信给克里斯托弗的母亲,试图用科学的语言去理解那个不可逾越的边界:意识是什么?精神能否独立于肉体而存在?一个人的思维,是否可以被某种机制(Mechanism)所复制和保存?这个问题,如同一个幽灵,贯穿了他此后的全部研究。他不再仅仅满足于解开数学谜题,他要探寻思维本身的奥秘。那个孤独的奔跑者,从此有了一个终极的追问目标——他要用逻辑和机器,去追赶一个逝去挚友的灵魂。\n\n✍️逻辑的宇宙\n克里斯托弗的离去,将图灵彻底推向了纯粹的理论世界。1931年,他进入剑桥大学国王学院,这里自由的学术氛围终于让他如鱼得水。正是在剑桥的草坪与回廊间,图灵完成了他一生中最重要的理论奠基。\n\n20世纪初的数学界,被一个幽灵般的问题所困扰,即大卫·希尔伯特提出的“判定问题”(Entscheidungsproblem):是否存在一个确定的、可机械执行的程序,能够在有限时间内判断任何一个给定的数学命题的真伪?这实际上是在问:数学的边界在哪里?是否存在一个“万能算法”?\n\n年仅24岁的图灵,以一种惊世骇俗的方式回答了这个问题。他没有直接进行数学推演,而是构想出了一台结构异常简单的抽象机器——后世称之为“图灵机”(Turing Machine)。这台机器拥有一条无限长的纸带、一个读写头和一套有限的指令规则。读写头可以在纸带上左右移动、读取符号、擦写符号。图灵证明,任何人类能想到的、符合逻辑的计算过程,无论多么复杂,都可以被这台简单的机器所模拟。\n\n“图灵机”的意义是颠覆性的。首先,他通过证明不存在一台可以判断所有程序是否会停机的“图灵机”,从而举重若轻地宣告了“判定问题”的最终答案:不存在这样的万能算法。数学中存在着机器永远无法判定的“不可计算”领域。其次,也是更重要的,他为“计算”这个模糊的概念提供了一个精确、严格的数学定义。在此之前,人们认为计算是人类心智的活动;在此之后,计算被定义为一种可以被机器执行的符号操作过程。\n\n这篇名为《论可计算数及其在判定问题上的应用》的论文,无意中为整个信息时代画好了蓝图。它是一份关于通用计算机的理论出生证明。图灵向世界宣告,不需要为不同的任务设计不同的机器,一台设计合理的“通用图灵机”就可以通过加载不同的程序(写在纸带上的指令)来模拟任何其他机器,完成任何可计算的任务。从你的笔记本电脑到智能手机,其最底层的逻辑灵魂,都是这台在1936年诞生于一位年轻人脑海中的抽象机器。图灵用纯粹的逻辑,构建了一个全新的、平坦而广阔的计算宇宙。\n\n✍️谜中人\n理论的光辉很快被战争的阴霾所笼罩。第二次世界大战爆发后,图灵被秘密招募至英国的密码破译中心——布莱切利园。在这里,他不再是象牙塔中的理论家,而是一位与时间赛跑、与纳粹德国争夺海上生命线的解码战士。\n\n德国海军使用的“恩尼格玛”(Enigma)密码机,被认为是当时最坚不可摧的加密系统。它每天变更的密钥组合数量高达天文数字,依靠人力计算根本无法破解。布莱切利园汇集了英国最顶尖的语言学家、数学家和逻辑学家,但面对恩尼格玛的铜墙铁壁,最初的进展极其缓慢。\n\n正是在这里,图灵展现了他将抽象理论转化为强大物理工具的惊人能力。他意识到,对抗机器的,必须是更快的机器。基于波兰同行奠定的基础,图灵主导设计了一种巨型机电装置——“炸弹机”(Bombe)。这台机器并非一台通用计算机,而是一种专门的、高速的逻辑搜索引擎。它能模拟数台恩尼格玛机同时运转,通过对截获的德军密文进行高速逻辑排除,在数小时内找出当日的密钥。\n\n在布莱切利园,图灵是一个古怪而核心的存在。他会因为花粉过敏而在夏天戴着防毒面具骑车上班;他会用链条把自己的马克杯锁在暖气片上以防丢失。他缺乏社交技巧,不善言辞,却以不容置疑的智力权威领导着第8小屋(Hut 8)——负责破解德国海军密码的核心部门。他与同事琼·克拉克(Joan Clarke)——一位同样才华横溢的女数学家——之间曾有过短暂的婚约。他向她坦陈了自己的同性恋身份,克拉克表示并不介意,但图灵最终还是认为,这段婚姻对双方而言都将是一个谎言,从而解除了婚约。\n\n图灵和他的团队所取得的胜利是决定性的。历史学家普遍认为,布莱che园的工作,特别是对U型潜艇使用的“鲨鱼”密码的破解,将战争的进程缩短了至少两年,拯救了数以百万计的生命。然而,这一切都发生在绝对的机密之中。战争结束时,图灵无法向任何人言说他的功绩。他是一位匿名的英雄,一个藏在“恩尼格玛”这个巨大谜题背后的谜中人。他帮助世界赢得了胜利,却必须将自己最辉煌的成就,连同他真实的自我,一同锁进沉默的保险箱。\n\n✍️胜利的阴影\n战争的胜利本应是图灵事业的又一个起点。他怀揣着制造一台“电子大脑”——即真正的通用计算机——的雄心,先后加入了国家物理实验室(NPL)和曼彻斯特大学。他详细设计了“自动计算机”(ACE)的方案,其架构远比当时美国的设计更为先进和完整。然而,和平时期的官僚主义和工程实现的缓慢,让他感到窒息。他是一个习惯于思想奔跑的人,却被现实的泥潭拖住了脚步。他的方案被拖延、修改,最终的成果与他最初的设想相去甚远。\n\n与此同时,一种更深的阴影正悄然笼罩他的个人生活。在战后保守的英国,同性恋不仅是道德禁忌,更是刑事犯罪。随着冷战的开启,同性恋者还被视为容易被敌方敲诈勒索的安全隐患。图灵在布莱切利园的涉密背景,使他的个人生活受到了更严密的审视。\n\n他一面在曼彻斯特大学参与“曼彻斯特一号”计算机的早期软件工作,一面提出了后来闻名于世的“图灵测试”,用一个关于“模仿游戏”的思想实验,为“机器能否思考”这一人工智能的终极问题设定了第一个可操作的判断标准。他甚至开始将目光从计算转向生命的奥秘,研究起生物形态发生学,试图用数学方程解释动植物身上斑纹的形成规律,比如豹子为何是斑点而斑马为何是条纹。他正处在另一场科学革命的边缘。\n\n然而,社会留给他的时间已经不多了。胜利的荣光未能照亮他生活的角落,反而让他因为昔日的秘密身份而变得更加危险。那个曾经拯救了国家的人,正在被这个国家步步紧逼,推向悬崖。\n\n✍️被咬了一口的苹果\n悲剧在1952年降临。图灵家中失窃,他向警方报案。在警方的盘问下,不谙世事的他承认了自己与一位19岁青年阿诺德·默里的同性恋关系。盗窃案迅速被搁置,取而代之的是对图灵“严重猥亵”罪的起诉。\n\n在法庭上,图灵没有为自己辩护,他真诚地认为,两个成年人之间自愿的私密行为,不应受到法律的干涉。这种超越时代的坦诚,在当时的法官看来无异于自证其罪。他被判有罪,并面临两个选择:入狱服刑,或者接受“化学阉割”——通过注射雌性激素来“治疗”他的性欲。为了继续他的研究,图灵选择了后者。\n\n这种“治疗”对他而言是毁灭性的。激素注射带来了严重的生理和心理副作用,他身体发胖,精神萎靡,更重要的是,他感到一种深刻的屈辱。那个曾用大脑对抗一个帝国的人,如今连自己的身体都无法掌控。他的安全许可被吊销,被禁止进入曾经奋战过的布莱切利园,甚至在出国旅行时也受到监视。他被曾经服务过的国家,当作一个潜在的叛徒和道德上的病人。\n\n1954年6月7日,图灵被他的女管家发现死在自己的床上,年仅41岁。床头柜上,放着一个被咬了一口的苹果。法医的鉴定结果是氰化物中毒,死因被判定为自杀。那个苹果,似乎是他对自己童年最喜欢的童话《白雪公主》的最后模仿。\n\n然而,关于他的死,至今仍有疑点。他的母亲坚决不相信儿子会自杀,认为这是一场实验意外。图灵的家中本就有一个用氰化物进行电解实验的小实验室。那个苹果是否真的浸毒,或者他是否真的吃了那个苹果,都缺乏决定性的证据。但无论真相是自杀还是意外,一个不争的事实是:一个伟大的头脑,在一个充满偏见和敌意的社会里,被逼到了生命的绝境。那个被咬了一口的苹果,成为了一个永恒的符号,象征着知识的代价、禁忌的诱惑,以及一个天才被时代毒害的悲剧。\n\n✍️数字幽灵的复活\n图灵死后,他的名字在很长一段时间里归于沉寂。由于官方的保密协议,他在战争中的巨大贡献不为世人所知。在计算机科学领域,他的开创性理论也被后来的硬件发展所掩盖。他似乎只是一个名字古怪的数学家,最终因一桩不光彩的丑闻而结束了生命。\n\n然而,思想的种子一旦种下,终将冲破时间的冻土。随着计算机革命的深入和人工智能的兴起,人们越来越频繁地回溯到那个源头。他们震惊地发现,今天数字世界里几乎所有最深刻的概念——算法、通用计算、人工智能——都可以在图灵几十年前的论文中找到清晰的印记。他的“图灵机”成为衡量一切计算能力的理论标尺,“图灵测试”至今仍是人机界限的试金石。\n\n当布莱切利园的档案在70年代解密后,世界更是为之震动。一个被遗忘的战争英雄形象浮出水面。人们终于意识到,那个被当作罪犯处理的人,恰恰是拯救了西方文明的关键人物之一。\n\n迟到的正义,以一种国家级的忏悔形式到来。2009年,时任英国首相戈登·布朗代表政府,为当年对图灵的“骇人听闻的对待”正式道歉。2013年,英国女王伊丽莎白二世颁发皇家赦免令,宣布他的罪名无效。2021年,艾伦·图灵的头像被印在全新的50英镑纸币上,与他设计的“炸弹机”图纸和那句名言并列:“这不过是将来之事的前奏,也是将来之事的影子。”\n\n图灵的灵魂,在他死后半个多世纪,以一种王者归来的姿态,完成了对那个放逐他的世界的“复仇”。他不再是一个悲剧性的人物,而成为一个象征——象征着科学理性的力量,象征着对偏见的抗争,象征着一个超越了自己时代的头脑,最终被未来所拥抱。他的一生,始于孤独的奔跑,如今,全世界都在追随他的步伐,跑向一个由他最先用逻辑编码出的未来。\n\n#艾伦图灵 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“$\\theta$-$\\tau$ 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“theta-tau 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 #传奇人生","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,32],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1979559653236441157","view_count":56,"bookmark_count":0,"created_at":1760798774000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979559653236441157","full_text":"什么是风险?风险就是在你觉得已经考虑周全的时候,被你遗漏的东西。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[7,25],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3178231","name":"宝玉","screen_name":"dotey","indices":[0,6]}]},"favorited":false,"in_reply_to_screen_name":"dotey","lang":"zh","retweeted":false,"fact_check":null,"id":"1979397787453395335","view_count":136,"bookmark_count":0,"created_at":1760760182000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979347434586402977","full_text":"@dotey 我擦,控制不好,一刀下去,耳朵👂没了","in_reply_to_user_id_str":"3178231","in_reply_to_status_id_str":"1979347434586402977","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[10,91],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"44196397","name":"Elon Musk","screen_name":"elonmusk","indices":[0,9]}]},"favorited":false,"in_reply_to_screen_name":"elonmusk","lang":"en","retweeted":false,"fact_check":null,"id":"1979483972192309357","view_count":54,"bookmark_count":0,"created_at":1760780730000,"favorite_count":7,"quote_count":0,"reply_count":0,"retweet_count":1,"user_id_str":"871838994002321410","conversation_id_str":"1979431839824777673","full_text":"@elonmusk I suppose if it can help me \"grok\" why I can never get out of bed in the morning.","in_reply_to_user_id_str":"44196397","in_reply_to_status_id_str":"1979431839824777673","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,42],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3122661542","name":"Yangyi","screen_name":"Yangyixxxx","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"Yangyixxxx","lang":"zh","retweeted":false,"fact_check":null,"id":"1979510334013775937","view_count":232,"bookmark_count":0,"created_at":1760787015000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979496155571732763","full_text":"@Yangyixxxx 谷歌账号为啥还要囤?随时注册随时有吧?难道后面会限制注册吗?","in_reply_to_user_id_str":"3122661542","in_reply_to_status_id_str":"1979496155571732763","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,72],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"885086674828578816","name":"Mr Panda","screen_name":"PandaTalk8","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"PandaTalk8","lang":"zh","retweeted":false,"fact_check":null,"id":"1979551640287089135","view_count":623,"bookmark_count":1,"created_at":1760796863000,"favorite_count":3,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979427457158779383","full_text":"@PandaTalk8 是的,这也是我喜欢用cursor的原因,可以设置,把每一步做的修改展示出来,手动确认,虽然效率低点,但是进步也是飞快的。","in_reply_to_user_id_str":"885086674828578816","in_reply_to_status_id_str":"1979427457158779383","is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-20","value":1,"startTime":1760832000000,"endTime":1760918400000,"tweets":[{"bookmarked":false,"display_text_range":[0,82],"entities":{"hashtags":[{"indices":[3292,3295],"text":"哲学"},{"indices":[3296,3300],"text":"心理学"},{"indices":[3301,3304],"text":"思维"},{"indices":[3305,3308],"text":"认知"},{"indices":[3309,3312],"text":"知识"},{"indices":[3313,3316],"text":"逻辑"},{"indices":[3318,3324],"text":"斯多葛主义"},{"indices":[3325,3334],"text":"Stoicism"},{"indices":[3335,3338],"text":"理性"},{"indices":[3339,3344],"text":"情绪管理"},{"indices":[3345,3350],"text":"思维模型"},{"indices":[3351,3356],"text":"人生哲学"},{"indices":[3357,3362],"text":"精神自由"},{"indices":[3363,3367],"text":"控制力"}],"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}]},"favorited":true,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1979903286498209903","view_count":96,"bookmark_count":1,"created_at":1760880702000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979903286498209903","full_text":"最近几天中国军方发生的新闻,想必大家都看到了,被处罚的当事人肯定会发生剧烈的心理波动。\n\n不仅仅是新闻中的当事人,甚至我们自己的遇到各种变动时,心理上也会产生波动。\n\n今天不谈新闻的本身,只聊一个西方的哲学理念“斯多葛主义”,即,如何在“个体意志”与“外部现实”之间发生剧烈冲突时,采用有效的方式缓解这种心理波动。\n\n🍯题设是这样的:\n一位在职业生涯中投入了数十年心血的人,因一次不可预测的市场动荡或内部权力重组,突然发现自己被边缘化或彻底清退。他所构建的身份认同、社会地位和经济保障似乎在一夜之间崩塌。\n\n这种经历带来的冲击,不仅仅是身份和地位的丧失,更是一种深刻的“存在性眩晕”。个体被迫直面一个事实:他所依赖的、用以定义自我价值的一切(认可、成功、财富、他人的看法),其本质是脆弱的、不可预测的,并且完全处在外部力量的掌控之下。\n\n这种“个体意志”与“外部现实”之间的剧烈冲突,揭示了一个贯穿人类经验的根本性抽象问题:当个体追求的东西完全依赖于外部环境的恩赐时,人类的心智系统如何可能维持稳定、理性和内在的安宁?\n\n斯多葛主义(Stoicism)——一个源自古希腊和罗马的、历经数百年锤炼的思想体系——正是为系统性地回应这一“存在性脆弱”问题而构建的。它并非一套旨在提供短暂安慰的“积极思维”,而是一个严谨的、近乎苛刻的、基于逻辑的认知操作系统。其唯一目标是,通过重新校准个体对“控制”、“价值”和“现实”的根本定义,来锻造一种不受外部命运波动所侵扰的精神自由(即人类的繁荣或至善)。\n\n这里拆解斯多葛主义的三个核心运作原则,以阐明这一思想体系如何对人类的苦难进行“诊断”,并提供一个内在框架。\n\n🎯核心原则一:控制二分法\n☯️1. 概念阐述:斯多葛主义的逻辑起点是对人类所有经验进行绝对的、无条件的分类。这一原则(以爱比克泰德的论述最为著名)主张,世间万物被清晰地划分为两大类:第一类是“我们能完全控制的”,第二类是“我们无法完全控制的”。 “可控的”事物仅限于我们内在的心智活动:我们的判断、我们的意图(或意志)、我们的欲望和我们的厌恶。 “不可控的”事物则包括其他一切:我们的身体(健康或疾病)、我们的财产、我们的声誉、他人的行为、以及最终的死亡。 斯多葛主义的纪律要求个体将100%的认知资源和意志力,仅用于前者;并对后者培养一种理性的、不动声色的“接纳”。\n\n☯️2. 现实现象:一个极端的例证是詹姆斯·斯托克代尔(一位爱比克泰德的研究者)的经历。作为一名战俘,他在越南被关押了七年半,经历了长期的酷刑、单独监禁和完全的不确定性。在这种情境下,个体对外部世界(释放日期、身体待遇、生存环境)的控制权被剥夺至零。许多意志薄弱的战俘在这种情况下彻底崩溃,因为他们将“希望”定义为“明年圣诞节前被释放”或“停止酷刑”。\n\n☯️3. 解决方式:斯多葛主义分析指出,传统意义上的“希望”在此刻是有害的,因为它将精神的安宁锚定在一个“不可控”的外部事件上。斯托克代尔的幸存,依赖于“控制二分法”的严格应用。 他清醒地认识到,他无法控制“是否被释放”或“是否被折磨”,但他100%地控制着“他如何回应折磨”、“他是否出卖情报”以及“他是否保持内心的尊严”。 通过将“希望”的定义从“获得自由”(不可控)转移到“有尊严地承受监禁”(可控),他重新定义了“胜利”的战场。这一原则的内在逻辑是:它是一个防御性的认知防火墙。它通过主动放弃对“不可控领域”的无效投资(焦虑、恐惧、徒劳的希望),将个体的能动性完全集中在唯一真正属于他的领域——他自己的意志和判断。\n\n🎯核心原则 二:价值的中立性\n☯️1. 概念阐述:这是“控制二分法”的必然推论。如果一件事物是“不可控的”,那么根据斯多葛主义的逻辑,它在“道德”上必须是中立的。这意味着,所有“不可控”的事物——包括健康、财富、痛苦、声誉甚至死亡——本身既不是“善”,也不是“恶”。它们被统称为“无关紧要之物”(或称“中立物”)。 唯一的“善”是“美德”(即理性的、符合自然和正义的判断与行为);唯一的“恶”是“恶习”(即非理性的、错误的判断与行为)。 当然,斯多葛主义承认某些“中立物”是“可取的”(如健康、财富),而另一些是“不可取的”(如疾病、贫穷),但它们绝对不能被提升到“善”或“恶”的高度。\n\n☯️2. 现实现象:以“社会声誉”为例。在当代社会,个体常常因社交媒体上的负面评价、公开的批评职业污点而经历极端的心理痛苦,甚至导致“社会性死亡”的恐惧。个体的自我价值感与“他人的看法”(一种经典的“不可控”外部事物)被深度绑定。一个负面的匿名评论,足以摧毁一个人一天的安宁。\n\n☯️3. 解决方式:斯多葛主义对这种痛苦的“诊断”是,个体犯了一个致命的“范畴错误”。他错误地将“声誉”(一个“中立物”)当作了“善”本身。 这一原则的逻辑功能是“价值重估”。它系统性地剥离了外部事物上的“道德标签”。如果声誉是“中立的”,那么他人的赞美(可取的)和诋毁(不可取的)都不能增加或减少你作为理性个体的核心价值(即你的美德)。 这种价值体系的转换,其目的是“切断”外部事件与内部安宁之间的直接因果链。如果“坏名声”不是一种“恶”,那么对它的恐惧就是非理性的。这种逻辑操练旨在实现一种极端的心理独立:个体的价值感完全自给自足,仅由其“内在美德”来定义,从而对外部的赞誉或谴责“免疫”。\n\n🎯核心原则三:认知的首要性\n☯️1. 概念阐述:如果说前两个原则是“世界观”的设定,那么第三个原则就是“心理实践”的核心机制。斯多葛主义认为,使我们陷入混乱和痛苦的,不是“事件”本身,而是我们对这些事件的“判断”或“看法”。 一个外部事件(例如,引言中提到的“身份突变”)本身只是一个“中立”的事实。它之所以造成痛苦,是因为个体立即对其附加了一个判断,如:“这是一场灾难”、“我的人生失败了”、“我一文不值”。 斯多葛主义的核心训练,就是“同意的训练”——在“刺激”(外部事件)和“反应”(情绪痛苦)之间,强行插入一个“认知审查”的步骤。\n\n☯️2. 现实现象:以“突发性丧失”为例,例如亲人的骤然离世。这是人类经验中最深刻的痛苦之一。即时的、压倒性的心理作用是:“这是无法承受的”、“这是世界上最痛苦的时刻”、“我的生活彻底失去了希望”。这种印象会立即引发剧烈的悲痛。\n\n☯️3. 解决方式:斯多葛主义在此处展现了其最“临床”的一面。它不否认生理的痛苦或情感的冲击(这些被视为自然的、“不可取的”中立物)。但它严格地分析上述的“判断”。 它会系统性地质询这些判断:“死亡”是一个“不可控”的自然事件吗?是的。根据原则二,它是一种“恶”吗?不是(它是一个“中立物”,尽管是“不可取的”)。那么,“我的生活彻底失去了希望”这个判断是基于现实的吗?不是,它是一个基于“错误价值认定”的非理性“同意”。 这种内在逻辑的运作,不是为了“消除”悲伤,而是为了“拒绝”由非理性判断所导致的、具有毁灭性的“激情”。它旨在将情感反应限制在对其“不可取的中立物”的自然反应上,同时防止这种反应升级为对“自我”和“现实”的毁灭性哲学判决。这一原则是该系统的执行程序,旨在通过审查和修正“判断”,来保护心智的“指挥中心”免受非理性情绪的颠覆。\n\n斯多葛主义不是一套用于“感觉良好”的安慰性信条,而是一个旨在彻底“重塑”个体认知结构和价值体系的训练思想。它首先通过“控制二分法”划定意志的边界;接着通过“价值中立性”剥离外部事物的道德属性;最后通过“认知的首要性”提供一套实时的“判断审查”工具。\n\n这一思想体系的激进之处在于,它将人类所有的“苦难”最终归因于一种“认知错误”——即错把“不可控”的当作“可控”的,以及错把“中立的”当作“善或恶”的。因此,它所追求的“安宁”,并非来自外部世界的顺遂,而是来自内部逻辑的绝对一致和对现实的清醒认知。它是一个要求持续实践、高度自律、甚至反直觉的思想操作系统,其最终目的是在承认外部世界完全不可控的前提下,实现内在精神的绝对自主和安宁。\n#哲学 #心理学 #思维 #认知 #知识 #逻辑\n\n#斯多葛主义 #Stoicism #理性 #情绪管理 #思维模型 #人生哲学 #精神自由 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step-by-step),然后看着它奇迹般地解决那些原本棘手的复杂问题。从数学题到逻辑推理,这句简单的指令仿佛成了一句解锁模型潜能的“咒语”。\n\n但你是否想过,这句咒语为什么如此有效?大多数人可能会直觉地认为,这是给了模型更多的“思考时间”或计算空间来处理问题。然而,一篇名为《从稀疏依赖到稀疏注意力:揭示思维链如何提升Transformer的样本效率》的研究指出,真正的原因远比这更深刻,也更令人惊讶。\n\n本文将揭示这篇论文背后隐藏的四大关键洞见,改变你对思维链(Chain-of-Thought, CoT)的传统认知。\n\n🔥1. 核心优势并非更强大,而是学得快:指数级的样本效率提升\n思维链的首要魔力,并非增强模型的“表达能力”(expressiveness),而在于大幅提升其“学习效率”(sample efficiency)。这听起来可能有些反直觉,因为我们总觉得更强的能力来自于更强的模型结构。但论文的理论证明指出,即便是最简单的单层Transformer模型,也具备足够的表达能力来解决奇偶校验问题。问题在于,它们就是学不会如何去解。\n为了证明这一点,研究者们设计了一个精妙的实验:奇偶校验(Parity)问题。简单来说,就是从一长串二进制数中,找出几个预先设定的“秘密”数字,然后判断这些秘密数字的和是奇数还是偶数。这个问题本身结构简单,但对神经网络来说却是一个经典的难题。\n\n实验结果的对比是惊人的:\n 🎓• 没有CoT的情况: 当模型只能看到问题和最终答案时,实验结果与理论分析都表明,它需要指数级的训练样本才能学会。这意味着,随着问题难度(秘密数字的数量k)的增加,所需的训练数据量会呈爆炸式增长,很快变得不切实际。\n 🎓• 使用CoT的情况: 当研究者将解题步骤(例如,每次只累加一个秘密数字的中间结果)作为CoT提供给模型时,模型仅需近似线性的样本就能轻松学会。正如论文的实验和理论所揭示的,学习效率获得了指数级的提升。\n\n结论:CoT的真正价值在于极大地提升了样本效率。它像一位高效的导师,让模型能用极小的代价,学会那些原本需要海量数据才能掌握的困难任务。\n\n🔥2. 成功的秘诀:稀疏注意力机制\nCoT之所以能实现这种惊人的效率提升,关键在于它为数据引入了一种名为“稀疏的序列依赖关系”(sparse sequential dependence)的特性。当一个复杂问题被分解为CoT的简单步骤后,每一步的计算通常只需要依赖前面内容中的极少数关键信息。例如,在奇偶校验的CoT中,计算第三步的结果只需要第二步的结果和第三个秘密数字,而与其他所有信息无关。\n\n这种稀疏的依赖关系,恰好能够引导Transformer模型内部的注意力机制学会一种高效的工作模式——“稀疏注意力”(Sparse Attention)。模型不再需要漫无目的地关注所有输入,而是学会了将注意力高度集中在少数几个当前步骤最相关的部分上。\n\n论文通过实验清晰地展示了这一点:\n 🎓• 可解释的注意力图: 训练完成后,模型的注意力模式变得异常清晰。从论文实验可以看出,在CoT的每一步计算中,注意力都像激光一样,精确地聚焦到了当前步骤所需的那一个“秘密”数字上,而完全忽略了其他无关的输入。\n 🎓• 注意力熵与准确率的关系: 研究者使用“归一化注意力熵”来衡量注意力的稀疏程度(熵越低,注意力越集中)。他们发现,模型的注意力变得越稀疏,其解决问题的准确率就越高。实验数据明确显示,当注意力熵急剧下降时,模型的准确率会随之跃升至100%。\n\n结论:CoT就像一位导师,教会了模型如何“抓重点”。这种学会聚焦、避免在海量信息中迷失的能力——即稀疏注意力——正是其高效学习的核心机制。\n\n🔥3. 意外发现:没有CoT,模型也能自学稀疏性,但过程极其漫长\n\n如果稀疏注意力真的是关键,那么一个模型即使在没有CoT引导的情况下,也应该只有在它以某种方式自发学会这种稀疏性之后才能成功。研究者们设计了一个巧妙的实验来验证这一点。他们进行了“多轮训练”(Multi-pass Training):在不使用CoT的情况下,让模型在同一个小型数据集上反复、高强度地训练。\n\n结果令人震惊,并且有力地证实了这一假说。首先,经过足够长时间的“死磕”,模型最终竟然也学会了解决奇偶校验问题。通过观察模型内部的变化,研究者发现,成功的转折点同样在于其内部自发地发展出了稀疏的注意力模式。在训练初期,模型表现不佳,注意力熵很高;随后进入一个漫长的平台期,虽然损失函数没有明显下降,但其注意力熵却在持续悄然降低;一旦注意力变得足够稀疏,模型的准确率就会像顿悟一般突然飙升。\n\n而实验中最具颠覆性的发现来自于对不同数据集规模的比较:\n 🎓• 在5万个样本的小数据集上反复训练,模型最终成功了。\n 🎓• 然而,当研究者把数据集扩大到100万个样本时,模型反而失败了。训练损失和注意力熵始终居高不下。\n\n结论:这个反直觉的结果意义重大。它证明了“稀疏注意力”是解决这类问题的根本,而不仅仅是数据量的堆砌。CoT提供了一条高效的“捷径”,直接引导模型走向稀疏性。而没有CoT的“蛮力学习”则像是在黑暗中摸索,虽然可能最终也能跌跌撞撞地找到通往稀疏性的道路,但这个过程缓慢、低效且充满不确定性——甚至更多的数据反而可能成为一种干扰。\n\n🔥4. 从理论到现实:真实世界的大模型同样遵循此道\n以上所有发现,并不仅仅适用于奇偶校验这样的合成问题。研究者们进一步在真实世界的数学问题数据集GSM8K上验证了他们的理论,发现这一机制在真实的大模型上同样适用。\n 🎓• CoT数据诱导稀疏性: 实验结果表明,当一个预训练的通用大模型(如Qwen2-7B)处理带有CoT解题步骤的数学题数据时,其注意力熵显著低于处理没有CoT的“问题-答案对”数据。这证明了真实世界中的CoT数据同样具备引导模型形成稀疏注意力的结构。\n 🎓• CoT微调增强稀疏性: 研究者进一步比较了通用模型(Qwen2-7B)和在数学CoT数据上微调过的专业模型(Qwen2-Math-7B)。结果显示,经过CoT数据微调的数学模型,在处理相同问题时,其注意力模式变得更加稀疏。\n\n结论:CoT引导模型学习稀疏注意力的机制是普适的。无论是处理理论问题还是真实世界的复杂任务,这种机制都在发挥作用。模型不仅能在训练中学会这种高效的推理模式,而且专门针对CoT数据进行优化的模型,会更擅长运用这种能力。\n\n重新理解“思考”的本质\n现在,让我们回到最初的问题:为什么“一步一步地思考”这句咒语如此神奇?\n\n这篇研究给出了一个清晰而深刻的答案:CoT的魔力不在于赋予模型新的超能力,而在于通过引入稀疏的依赖关系,将一个难以学习的问题转化为一个容易学习的问题,从而极大地提升了模型的学习效率。其背后最核心的机制,就是引导模型形成了稀疏和可解释的注意力模式。\n当我们让模型“一步一步思考”时,我们不仅仅是在给它时间,更是在给它一个结构化的、稀疏的思考框架,帮助它学会如何聚焦,如何从复杂性中提炼出关键信息。\n\n这不禁让我们思考一个更深层次的问题:既然我们知道了“稀疏性”是解锁高效推理的关键,那么未来的研究是否能设计出一种全新的模型架构,让它无需依赖“一步一步”的外部提示,就能天生高效地学习和捕捉世界中的稀疏因果关系呢?这或许是通往更强大、更通用人工智能的下一条路径。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-27","value":0,"startTime":1761436800000,"endTime":1761523200000,"tweets":[{"bookmarked":false,"display_text_range":[0,144],"entities":{"hashtags":[{"indices":[878,884],"text":"提示词工程"},{"indices":[885,889],"text":"LLM"},{"indices":[890,895],"text":"AIGC"},{"indices":[896,902],"text":"大语言模型"},{"indices":[903,908],"text":"人工智能"},{"indices":[909,914],"text":"AI研究"},{"indices":[915,933],"text":"PromptEngineering"},{"indices":[934,946],"text":"LLMResearch"},{"indices":[947,952],"text":"AI理论"},{"indices":[953,958],"text":"机器学习"}],"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}]},"favorited":false,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1982308237241446694","view_count":107,"bookmark_count":0,"created_at":1761454087000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1982308237241446694","full_text":"揭开提示工程的神秘面纱\n\n我们在与大型语言模型(LLM)打交道时,“提示工程”常常给人一种近乎“魔法”的印象。\n\n在调教提示词时,我们在依赖直觉和反复试错,像炼金术士一样,通过不断调整措辞、增删词语,试图找到那句能让模型输出最佳结果的“咒语”。这个过程充满了不确定性,但其效果又出奇地好。\n\n这引出了一个深刻的谜题:为什么那些通过手动精心调整,甚至是自动化算法在训练数据上搜索出来的“完美”提示词,不仅在训练数据上表现出色,也往往能在全新的、模型从未见过的数据上表现优异?按照传统机器学习的经验,这种针对训练数据的“过度优化”很容易导致“过拟合”(即模型只是死记硬背了训练样本的答案,而失去了泛化到新问题的能力)。然而,提示工程似乎天然地对这种陷阱免疫,为什么呢?\n\n最新的研究表明提示工程远非简单的反复试错,其背后隐藏着深刻的计算机制和统计学规律。\n\n以下是5个研究结论:\n\n1. 提示词即程序,而非指令。输入提示词是在动态“配置”LLM,即时构建一个“虚拟神经网络”。你的措辞是在“编程”,直接定义网络架构和权重。\n\n2. 单个注意力头具备“万能逼近器”潜力。理论证明,一个注意力头配合精巧的前缀(prefix-tuning),即可模拟任意连续函数。关键是激发核心组件的内在计算力,而非仅依赖模型规模。\n\n3. 手调提示词的泛化保障:自然性。PAC-Bayes理论表明,提示词不易过拟合,因为受“自然语言”约束。一个有效的提示词必须是“自然的”(KL散度低),这限制了其为迎合训练数据而产生的复杂性。\n\n4. 长提示词(CoT)构建更深的“虚拟网络”。“思维链”有效,不只因提供了更多上下文。更长的提示词在功能上构建了更深、更复杂的虚拟计算网络,从而降低复杂任务的近似误差。\n\n5. 无关信息是“灾难”,而非“干扰”。提示词中的“噪声”词元会带来一个无法消除的误差下限。无论有效部分多长,模型性能都会被“卡”在低水平。保持高信噪比是前提,不是优化。\n\n提示词工程正从艺术转向科学。理解其“编程”和“函数逼近”的本质,是系统化设计“超级提示”的基础。\n\n#提示词工程 #LLM #AIGC #大语言模型 #人工智能 #AI研究 #PromptEngineering #LLMResearch #AI理论 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problem)。研究发现,即使是一个简单的单层Transformer,其模型结构也已经具备了表达奇偶校验函数解法的能力。然而,令人惊讶的是,如果没有思维链的引导,模型需要指数级数量的训练样本才能学会这个函数,这在实践中几乎是不可能的。\n相比之下,当为模型提供带有思维链的训练数据时(即包含计算过程的中间步骤),同一个Transformer模型仅需多项式级的样本就能学会。这是一个在样本效率上指数级的提升。正如一篇研究论文所指出的:\n“在不使用CoT时,大语言模型常常在一些简单任务上遇到困难——比如计算‘strawberry’这个单词里有多少个‘r’。考虑到模型尺寸越来越大,这类任务超出其表达能力的上限似乎是不太可能的。”\n这项研究进一步揭示,思维链通过在输入中引入稀疏的序列依赖关系,引导模型学习到稀疏且可解释的注意力模式,这使得模型能将注意力集中在下一步计算所需的少数关键信息上,而不是在庞杂的输入中迷失方向,从而极大地简化了学习过程。这说明,思维链的核心价值之一在于它让模型能更高效地从数据中学会推理,而不是赋予它一种原本不具备的能力。\n\n3. 分步推理使AI在面对信息不完美时更加稳健\n\n现实世界的数据充满了噪声、错误和不完整的信息。无论是人类标注的数据,还是网络上抓取的内容,都很难做到完美无瑕。这对依赖数据学习的AI模型构成了巨大挑战。\n研究表明,在这种不完美的环境下,思维链相比标准的上下文学习(In-Context Learning, ICL)展现出显著的优势。ICL严重依赖于示例的质量——如果示例中的答案是错误的,模型很可能会被误导。然而,思维链的分步过程允许模型超越单个答案的对错,去学习和提取其背后正确的推理过程。\n一项实验有力地证明了这一点:一个使用思维链数据训练的Transformer模型,即使在其30%的训练数据中,中间步骤存在损坏或缺失,最终的推理准确率依然非常高。这意味着,模型能够透过不完美的数据,“领悟”到解决问题的正确逻辑和方法。这种稳健性对于AI在真实世界中的应用至关重要,它使得模型能够从不完美但更接近现实的人类数据中,学习到可靠的推理能力。\n\n4. 从统计学上看,CoT几乎总是更优选择,但“坏思路”可能有害\n\n从统计学的角度看,思维链可以被理解为一种“贝叶斯模型平均”(Bayesian Model Averaging, 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code,后端的模型换做其他,但是不知道效果会不会打折扣?","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":1,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1983562337614520416","view_count":2,"bookmark_count":0,"created_at":1761753088000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983562337614520416","full_text":"北大博士任教985高校三年:考核未过,背着百万房贷离开\n\n“措手不及!”今年元旦刚过,一纸“不再续聘”通知“传”到了36岁的程欣手中。月末就是春节,程欣本打算和妻儿过个好年,却被催促着务必尽快办完离职手续,清空办公室。\n在考核前,他曾多次询问院系相关领导,得到的答案是“无需担心”。因此,他并未着手寻找新的工作,谁知迎来的是冷水浇头。\n\n时间拉回2021年,程欣作为“优秀博士学位论文”的获得者,从北京大学毕业。当时,他一共拿到33个工作offer,最终选择入职了这所心仪的985高校。\n\n程欣经历了许多:入职不到一年,为了完成考核,他不得不放弃深耕10年的方向,转向更“热门”、便于发论文的课题。他曾因教学评价高而获得“教学优秀奖”,还带领本科生拿到“挑战杯”国家级一等奖,但这些对考核毫无助力。\n\n但过去的经历依然历历在目。程欣提出了一个深埋心中的疑问:学术,到底应该被当成一份功利化考量的工作,还是一份理想追求?\n\n以下是他的讲述:\n\n📚启程\n\n2021年夏天,我从北京大学博士毕业,是优秀博士学位论文的获得者。从硕士到博士,我都跟随同一位导师研究社会科学,围绕同一个主题深入做研究,发表了10余篇论文。\n\n我的导师是一位纯粹的研究型学者,整个师门的氛围是潜心学术的。我博士期间的目标就是毕业后成为大学老师,能够做自己感兴趣的研究,同时培养学生。\n\n毕业季,我投出200多封邮件,最后拿到了33个offer,其中包括某Top2大学马克思主义学院、北京一所师范大学的哲学系、承诺给编制的西部某“双一流”大学……\n\n最终,我下定决心入职这所985高校,原因是多方面的。首先是导师的建议和我理想主义的想法——当时,师门里还没有同学去往那座城市,我想做个开拓者;其次,引进我的老师很有人格魅力,我感觉遇到了“伯乐”;此外,虽然合同上写的考核时间只有三年,但我得到的口头承诺是“3+3”,即首聘三年后,若考核未完全达标,学校通常会续聘三年。我想,虽然我的方向偏冷门一点,但6年的时间可以去“拼一把”。\n\n刚入职时,想法是很明确的:教学和科研两条腿走路。那时学校还有一条“教学通道”——如果青年教师在论文发表和课题申请上稍有不足,通过教学依然可以评职称、留下来。\n\n在教学方面,我投入了巨大热情,在2023年拿到了“校教学优秀奖”,并带领本科生团队拿到“挑战杯”国家级一等奖,后者在学院是史无前例的。\n\n在科研方面,我做了一个有点痛苦的决定。入职不到一年,我意识到,坚持原有的冷门方向,意味着不可能达到考核要求。正好有一门热门主题课程的老师临近退休,由我接手。为了转换方向,我跟着本科生坐在教室里,认认真真听了那学期的每一堂课。\n\n我们系的氛围很好,领导、同事给了我许多支持和帮助。经人介绍,我结了婚,把所有存款拿来买了房子,并贷款100多万。我和爱人的收入加起来不高,一个人支撑房贷,一个人支撑生活用度,两个人过着普通的小日子。这样“安稳”的生活,已经让我心满意足。\n\n📚变故\n\n2023年,学校的一纸新政彻底堵死了“教学通道”。其规定,副高职称以下的青年教师,原则上不允许再承担课程教学。实际操作是,学校层面直接取消了我们这些不符合职称要求的青年教师授课排课资格。\n\n我并没有太放在心上,毕竟在校工作期间,我发表了多篇论文,手上还有两篇“已录用”的论文。并且2024年临近考核期时,我反复向院系领导确认,得到的回复是“不用担心,老人老办法,原来的3+3承诺依然生效”。在我之前的老师,有些超出了6年合同期的,还根据情况给他们续了一两年,以达到论文发表要求。因此,我天真地以为自己“没问题”,也没有着手去找新的工作。\n\n2024年12月30日,我做工作答辩。次日,学院发布了对我“不再续聘”的决定,这个通知并未送达我本人,只是发布在公告墙上。两天后,我通过他人得知:我失业了。\n\n失业的第一周,整个人都是崩溃的。我还是会习惯性地拿起书,或打开电脑,但又马上意识到,我没有工作了。当时临近春节,没什么找工作的窗口,我在家发呆了整整一个月,还不时收到“尽快办理离职手续、清空办公室”的催促。\n\n收入断了,孩子出生不久,我还面临还房贷、养家的压力。“醒”来之后,我赶紧抓住春季招聘的窗口。最让我难受的是:我失业时,年龄刚满36岁,有很多好机会却将年龄卡在35岁,我无法申请。\n\n与家人反复商量后,我选择了一所南方沿海城市的高校。这所学校的名气没那么大,但考核要求不高,且薪资是之前的两倍多,还为我们一家三口提供了公寓。\n\n妻子安慰我:“100多万的房贷可以慢慢还,就当没来过,好歹还成了个家。”如今,我们已经举家搬迁到新的城市,从头开始。\n\n📚反思\n\n回头再看,我不禁反思:为何在考核制度下,我成了被淘汰的“不合格产品”?\n\n我必须先替学院的领导、同事说句公道话——他们都是很好的人,无论是工作期间对我的支持,还是找新工作时对我的安慰和帮助。那么,我面临的痛苦究竟来源于哪里呢?\n\n首先,制度存在“不明确地带”且不断变化。我承认,2024年底接受考核时,自己确实没有达到考核要求,即“三年内拿到一个国家级课题(或引进经费至少20万),同时发表至少5篇符合学校要求的期刊论文”。\n\n然而,这些要求是2024年学校的内部文件下发的“新办法”,并未写进我的入职合同,入职时也有“教学通道”和“3+3”的承诺,考核操作是比较“柔和”的。\n\n实际上,一个普通青年教师仅凭“个人”努力,极难甚至绝无可能在三年内达到如此严苛的标准。我和身边的朋友日均工作12~18小时,但大多是“非升即走”的失败者。\n\n我观察发现,高校的人才引进制度已经非常“市场化”了,永远有更年轻、更“卷”的人拿到职称,考核要求水涨船高,没能跟上节奏的“老人”惨遭淘汰。竞争是无情的,许多学校集结大批青年研究人员,学校的排名和论文发表数量大幅提升,但这对青年教师的影响很不好。\n\n其次,论文的发表存在着大片“灰色地带”。作为大学老师,每个星期打开邮箱,都能收到一大堆“代发论文”的邮件,其中期刊的等级被明码标价。\n\n此外,作者的身份职级影响着论文发表。我亲身经历过,一篇论文在投稿时顺利通过审核,马上要发表了,编辑明确告诉我:“找一个正教授挂名,我们马上给你发表。”我当时想了很久,却没舍得,因为那篇论文是我花费很多心血的得意之作。\n\n我们会看到,一位知名学者一年论文的发表量,超过一整所大学。被指出后,这种现象依然没有收敛,反而愈演愈烈。\n\n无论是花钱“买”论文,还是找“大佬”带,都是普通青年教师难以承担的成本。\n\n📚平庸之恶\n\n除了我自己的亲身经历,我还想举三个身边朋友的案例。\n\n我的一位师弟,是大家心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"media":[{"display_url":"pic.x.com/WqskjWwwxp","expanded_url":"https://x.com/Georgeistrue/status/1983563770892112338/photo/1","id_str":"1983563747445919744","indices":[110,133],"media_key":"3_1983563747445919744","media_url_https":"https://pbs.twimg.com/media/G4cIuAvbUAACTwe.jpg","type":"photo","url":"https://t.co/WqskjWwwxp","ext_media_availability":{"status":"Available"},"features":{"large":{"faces"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心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[9,19],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"1164388321545449472","name":"卫斯理","screen_name":"imwsl90","indices":[0,8]}]},"favorited":false,"in_reply_to_screen_name":"imwsl90","lang":"zh","retweeted":false,"fact_check":null,"id":"1983467757141389805","view_count":1325,"bookmark_count":0,"created_at":1761730539000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983458922406236328","full_text":"@imwsl90 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se,"fact_check":null,"id":"1979226402886160397","view_count":118,"bookmark_count":1,"created_at":1760719321000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979226402886160397","full_text":"今天看了一篇文章,是关于“计算机之父”和“人工智能之父”——艾伦·图灵的。\n\n看完之后,我真切地感受到:在科技史最耀眼的光芒背后,藏着人类社会最深的阴影。\n图灵并非完美无瑕的天才。他口吃、内向、不擅交际,常常被同龄人视为怪人。而讽刺的是,正是这种“格格不入”,让他看清了机器与人类思维的边界,也让他在战争中用逻辑和算法击败了纳粹的“恩尼格玛”密码机,拯救了数百万人的生命。\n\n但也是这种“不谙世事”的真诚,害死了他。当他坦率承认自己与男性的恋情时,社会没有给予理解与尊重,反而用法律和化学药剂摧毁了他的身体与尊严。\n\n他用数学奠定了计算机的根基,却被非理性的偏见压垮。\n他为世界争取了未来,却没能在自己的时代被宽恕。\n\n也许,人类真正的考验,不在于能否让机器思考,而在于能否学会以更高的智慧去理解“人”。\n\n🎭艾伦·图灵:编码天空的孤独奔跑者\n艾伦·图灵的一生,像一台他自己构想的通用机器,被输入了两个截然相反的程序。一个程序由纯粹的逻辑、数字和宇宙秩序构成,驱动他奔向人类智识的巅峰,奠定了我们今天整个数字时代的地基;另一个程序则由社会的偏见、法律的冷酷和人性的脆弱写就,将他拖入个人悲剧的深渊,最终在一只浸毒的苹果旁戛然而止。他是一位用思想重塑20世纪的先知,却被他誓死保卫的世界无情地放逐。要理解图灵,我们不仅要追溯他的天才轨迹,更要凝视那个时代投射在他身上的、巨大而扭曲的阴影。\n\n✍️孤独的奔跑者\n艾伦·马西森·图灵于1912年诞生于一个往返于英帝国与印度的家庭,这种疏离的成长环境似乎从一开始就预示了他一生的孤独。他的童年是在陌生的寄宿家庭和冰冷的公学制度中度过的,在那里,他对科学——尤其是化学和数学——近乎本能的热爱,被视为对古典教育的公然挑衅。老师们在评语中抱怨他“无可救药地偏科”,希望他成为一个“受过教育的人,而非仅仅是一个科学家”。然而,图灵的思维早已在另一个维度上奔跑。当同龄人还在背诵拉丁文时,他已经独立领悟了爱因斯坦的相对论,并能从更基础的牛顿定律中推导出对其的质疑。\n\n他的世界是抽象符号和自然规律构成的内在宇宙,现实世界的人际交往则让他显得笨拙、害羞,甚至有些口吃。他是一个长跑爱好者,时常独自一人在乡间小径上奔跑数十公里。这不仅仅是锻炼,更像一种仪式——在肉体的极限疲惫中,他的大脑得以进入最纯粹、最高效的思考状态。奔跑时,世界简化为呼吸的节奏、肌肉的酸痛和脑海中不断旋转的逻辑链条,这正是他所熟悉和热爱的状态。\n\n在这片孤独的智识荒原上,出现过唯一的光源——克里斯托弗·莫尔科姆。他是图灵在舍伯恩公学唯一的知己,一个同样对科学充满热情的少年。他们之间的情感,超越了简单的友谊,是一种深刻的智识共鸣与灵魂契合。他们一同探讨哥德尔不完备定理,争论量子力学的奥秘,梦想着未来在剑桥携手并进。克里斯托弗是图灵与这个格格不入的世界之间唯一的桥梁。然而,1930年,这座桥梁轰然断裂。克里斯托弗因牛结核病猝然离世。\n\n挚友的死亡,成为图灵人生的第一个巨大创伤,也催生了他哲学思考的第一个核心命题。他反复写信给克里斯托弗的母亲,试图用科学的语言去理解那个不可逾越的边界:意识是什么?精神能否独立于肉体而存在?一个人的思维,是否可以被某种机制(Mechanism)所复制和保存?这个问题,如同一个幽灵,贯穿了他此后的全部研究。他不再仅仅满足于解开数学谜题,他要探寻思维本身的奥秘。那个孤独的奔跑者,从此有了一个终极的追问目标——他要用逻辑和机器,去追赶一个逝去挚友的灵魂。\n\n✍️逻辑的宇宙\n克里斯托弗的离去,将图灵彻底推向了纯粹的理论世界。1931年,他进入剑桥大学国王学院,这里自由的学术氛围终于让他如鱼得水。正是在剑桥的草坪与回廊间,图灵完成了他一生中最重要的理论奠基。\n\n20世纪初的数学界,被一个幽灵般的问题所困扰,即大卫·希尔伯特提出的“判定问题”(Entscheidungsproblem):是否存在一个确定的、可机械执行的程序,能够在有限时间内判断任何一个给定的数学命题的真伪?这实际上是在问:数学的边界在哪里?是否存在一个“万能算法”?\n\n年仅24岁的图灵,以一种惊世骇俗的方式回答了这个问题。他没有直接进行数学推演,而是构想出了一台结构异常简单的抽象机器——后世称之为“图灵机”(Turing Machine)。这台机器拥有一条无限长的纸带、一个读写头和一套有限的指令规则。读写头可以在纸带上左右移动、读取符号、擦写符号。图灵证明,任何人类能想到的、符合逻辑的计算过程,无论多么复杂,都可以被这台简单的机器所模拟。\n\n“图灵机”的意义是颠覆性的。首先,他通过证明不存在一台可以判断所有程序是否会停机的“图灵机”,从而举重若轻地宣告了“判定问题”的最终答案:不存在这样的万能算法。数学中存在着机器永远无法判定的“不可计算”领域。其次,也是更重要的,他为“计算”这个模糊的概念提供了一个精确、严格的数学定义。在此之前,人们认为计算是人类心智的活动;在此之后,计算被定义为一种可以被机器执行的符号操作过程。\n\n这篇名为《论可计算数及其在判定问题上的应用》的论文,无意中为整个信息时代画好了蓝图。它是一份关于通用计算机的理论出生证明。图灵向世界宣告,不需要为不同的任务设计不同的机器,一台设计合理的“通用图灵机”就可以通过加载不同的程序(写在纸带上的指令)来模拟任何其他机器,完成任何可计算的任务。从你的笔记本电脑到智能手机,其最底层的逻辑灵魂,都是这台在1936年诞生于一位年轻人脑海中的抽象机器。图灵用纯粹的逻辑,构建了一个全新的、平坦而广阔的计算宇宙。\n\n✍️谜中人\n理论的光辉很快被战争的阴霾所笼罩。第二次世界大战爆发后,图灵被秘密招募至英国的密码破译中心——布莱切利园。在这里,他不再是象牙塔中的理论家,而是一位与时间赛跑、与纳粹德国争夺海上生命线的解码战士。\n\n德国海军使用的“恩尼格玛”(Enigma)密码机,被认为是当时最坚不可摧的加密系统。它每天变更的密钥组合数量高达天文数字,依靠人力计算根本无法破解。布莱切利园汇集了英国最顶尖的语言学家、数学家和逻辑学家,但面对恩尼格玛的铜墙铁壁,最初的进展极其缓慢。\n\n正是在这里,图灵展现了他将抽象理论转化为强大物理工具的惊人能力。他意识到,对抗机器的,必须是更快的机器。基于波兰同行奠定的基础,图灵主导设计了一种巨型机电装置——“炸弹机”(Bombe)。这台机器并非一台通用计算机,而是一种专门的、高速的逻辑搜索引擎。它能模拟数台恩尼格玛机同时运转,通过对截获的德军密文进行高速逻辑排除,在数小时内找出当日的密钥。\n\n在布莱切利园,图灵是一个古怪而核心的存在。他会因为花粉过敏而在夏天戴着防毒面具骑车上班;他会用链条把自己的马克杯锁在暖气片上以防丢失。他缺乏社交技巧,不善言辞,却以不容置疑的智力权威领导着第8小屋(Hut 8)——负责破解德国海军密码的核心部门。他与同事琼·克拉克(Joan Clarke)——一位同样才华横溢的女数学家——之间曾有过短暂的婚约。他向她坦陈了自己的同性恋身份,克拉克表示并不介意,但图灵最终还是认为,这段婚姻对双方而言都将是一个谎言,从而解除了婚约。\n\n图灵和他的团队所取得的胜利是决定性的。历史学家普遍认为,布莱che园的工作,特别是对U型潜艇使用的“鲨鱼”密码的破解,将战争的进程缩短了至少两年,拯救了数以百万计的生命。然而,这一切都发生在绝对的机密之中。战争结束时,图灵无法向任何人言说他的功绩。他是一位匿名的英雄,一个藏在“恩尼格玛”这个巨大谜题背后的谜中人。他帮助世界赢得了胜利,却必须将自己最辉煌的成就,连同他真实的自我,一同锁进沉默的保险箱。\n\n✍️胜利的阴影\n战争的胜利本应是图灵事业的又一个起点。他怀揣着制造一台“电子大脑”——即真正的通用计算机——的雄心,先后加入了国家物理实验室(NPL)和曼彻斯特大学。他详细设计了“自动计算机”(ACE)的方案,其架构远比当时美国的设计更为先进和完整。然而,和平时期的官僚主义和工程实现的缓慢,让他感到窒息。他是一个习惯于思想奔跑的人,却被现实的泥潭拖住了脚步。他的方案被拖延、修改,最终的成果与他最初的设想相去甚远。\n\n与此同时,一种更深的阴影正悄然笼罩他的个人生活。在战后保守的英国,同性恋不仅是道德禁忌,更是刑事犯罪。随着冷战的开启,同性恋者还被视为容易被敌方敲诈勒索的安全隐患。图灵在布莱切利园的涉密背景,使他的个人生活受到了更严密的审视。\n\n他一面在曼彻斯特大学参与“曼彻斯特一号”计算机的早期软件工作,一面提出了后来闻名于世的“图灵测试”,用一个关于“模仿游戏”的思想实验,为“机器能否思考”这一人工智能的终极问题设定了第一个可操作的判断标准。他甚至开始将目光从计算转向生命的奥秘,研究起生物形态发生学,试图用数学方程解释动植物身上斑纹的形成规律,比如豹子为何是斑点而斑马为何是条纹。他正处在另一场科学革命的边缘。\n\n然而,社会留给他的时间已经不多了。胜利的荣光未能照亮他生活的角落,反而让他因为昔日的秘密身份而变得更加危险。那个曾经拯救了国家的人,正在被这个国家步步紧逼,推向悬崖。\n\n✍️被咬了一口的苹果\n悲剧在1952年降临。图灵家中失窃,他向警方报案。在警方的盘问下,不谙世事的他承认了自己与一位19岁青年阿诺德·默里的同性恋关系。盗窃案迅速被搁置,取而代之的是对图灵“严重猥亵”罪的起诉。\n\n在法庭上,图灵没有为自己辩护,他真诚地认为,两个成年人之间自愿的私密行为,不应受到法律的干涉。这种超越时代的坦诚,在当时的法官看来无异于自证其罪。他被判有罪,并面临两个选择:入狱服刑,或者接受“化学阉割”——通过注射雌性激素来“治疗”他的性欲。为了继续他的研究,图灵选择了后者。\n\n这种“治疗”对他而言是毁灭性的。激素注射带来了严重的生理和心理副作用,他身体发胖,精神萎靡,更重要的是,他感到一种深刻的屈辱。那个曾用大脑对抗一个帝国的人,如今连自己的身体都无法掌控。他的安全许可被吊销,被禁止进入曾经奋战过的布莱切利园,甚至在出国旅行时也受到监视。他被曾经服务过的国家,当作一个潜在的叛徒和道德上的病人。\n\n1954年6月7日,图灵被他的女管家发现死在自己的床上,年仅41岁。床头柜上,放着一个被咬了一口的苹果。法医的鉴定结果是氰化物中毒,死因被判定为自杀。那个苹果,似乎是他对自己童年最喜欢的童话《白雪公主》的最后模仿。\n\n然而,关于他的死,至今仍有疑点。他的母亲坚决不相信儿子会自杀,认为这是一场实验意外。图灵的家中本就有一个用氰化物进行电解实验的小实验室。那个苹果是否真的浸毒,或者他是否真的吃了那个苹果,都缺乏决定性的证据。但无论真相是自杀还是意外,一个不争的事实是:一个伟大的头脑,在一个充满偏见和敌意的社会里,被逼到了生命的绝境。那个被咬了一口的苹果,成为了一个永恒的符号,象征着知识的代价、禁忌的诱惑,以及一个天才被时代毒害的悲剧。\n\n✍️数字幽灵的复活\n图灵死后,他的名字在很长一段时间里归于沉寂。由于官方的保密协议,他在战争中的巨大贡献不为世人所知。在计算机科学领域,他的开创性理论也被后来的硬件发展所掩盖。他似乎只是一个名字古怪的数学家,最终因一桩不光彩的丑闻而结束了生命。\n\n然而,思想的种子一旦种下,终将冲破时间的冻土。随着计算机革命的深入和人工智能的兴起,人们越来越频繁地回溯到那个源头。他们震惊地发现,今天数字世界里几乎所有最深刻的概念——算法、通用计算、人工智能——都可以在图灵几十年前的论文中找到清晰的印记。他的“图灵机”成为衡量一切计算能力的理论标尺,“图灵测试”至今仍是人机界限的试金石。\n\n当布莱切利园的档案在70年代解密后,世界更是为之震动。一个被遗忘的战争英雄形象浮出水面。人们终于意识到,那个被当作罪犯处理的人,恰恰是拯救了西方文明的关键人物之一。\n\n迟到的正义,以一种国家级的忏悔形式到来。2009年,时任英国首相戈登·布朗代表政府,为当年对图灵的“骇人听闻的对待”正式道歉。2013年,英国女王伊丽莎白二世颁发皇家赦免令,宣布他的罪名无效。2021年,艾伦·图灵的头像被印在全新的50英镑纸币上,与他设计的“炸弹机”图纸和那句名言并列:“这不过是将来之事的前奏,也是将来之事的影子。”\n\n图灵的灵魂,在他死后半个多世纪,以一种王者归来的姿态,完成了对那个放逐他的世界的“复仇”。他不再是一个悲剧性的人物,而成为一个象征——象征着科学理性的力量,象征着对偏见的抗争,象征着一个超越了自己时代的头脑,最终被未来所拥抱。他的一生,始于孤独的奔跑,如今,全世界都在追随他的步伐,跑向一个由他最先用逻辑编码出的未来。\n\n#艾伦图灵 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“$\\theta$-$\\tau$ 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“theta-tau 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 #传奇人生","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,32],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1979559653236441157","view_count":56,"bookmark_count":0,"created_at":1760798774000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979559653236441157","full_text":"什么是风险?风险就是在你觉得已经考虑周全的时候,被你遗漏的东西。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[7,25],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3178231","name":"宝玉","screen_name":"dotey","indices":[0,6]}]},"favorited":false,"in_reply_to_screen_name":"dotey","lang":"zh","retweeted":false,"fact_check":null,"id":"1979397787453395335","view_count":136,"bookmark_count":0,"created_at":1760760182000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979347434586402977","full_text":"@dotey 我擦,控制不好,一刀下去,耳朵👂没了","in_reply_to_user_id_str":"3178231","in_reply_to_status_id_str":"1979347434586402977","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[10,91],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"44196397","name":"Elon Musk","screen_name":"elonmusk","indices":[0,9]}]},"favorited":false,"in_reply_to_screen_name":"elonmusk","lang":"en","retweeted":false,"fact_check":null,"id":"1979483972192309357","view_count":54,"bookmark_count":0,"created_at":1760780730000,"favorite_count":7,"quote_count":0,"reply_count":0,"retweet_count":1,"user_id_str":"871838994002321410","conversation_id_str":"1979431839824777673","full_text":"@elonmusk I suppose if it can help me \"grok\" why I can never get out of bed in the morning.","in_reply_to_user_id_str":"44196397","in_reply_to_status_id_str":"1979431839824777673","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,42],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3122661542","name":"Yangyi","screen_name":"Yangyixxxx","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"Yangyixxxx","lang":"zh","retweeted":false,"fact_check":null,"id":"1979510334013775937","view_count":232,"bookmark_count":0,"created_at":1760787015000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979496155571732763","full_text":"@Yangyixxxx 谷歌账号为啥还要囤?随时注册随时有吧?难道后面会限制注册吗?","in_reply_to_user_id_str":"3122661542","in_reply_to_status_id_str":"1979496155571732763","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,72],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"885086674828578816","name":"Mr Panda","screen_name":"PandaTalk8","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"PandaTalk8","lang":"zh","retweeted":false,"fact_check":null,"id":"1979551640287089135","view_count":623,"bookmark_count":1,"created_at":1760796863000,"favorite_count":3,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979427457158779383","full_text":"@PandaTalk8 是的,这也是我喜欢用cursor的原因,可以设置,把每一步做的修改展示出来,手动确认,虽然效率低点,但是进步也是飞快的。","in_reply_to_user_id_str":"885086674828578816","in_reply_to_status_id_str":"1979427457158779383","is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-20","value":2,"startTime":1760832000000,"endTime":1760918400000,"tweets":[{"bookmarked":false,"display_text_range":[0,82],"entities":{"hashtags":[{"indices":[3292,3295],"text":"哲学"},{"indices":[3296,3300],"text":"心理学"},{"indices":[3301,3304],"text":"思维"},{"indices":[3305,3308],"text":"认知"},{"indices":[3309,3312],"text":"知识"},{"indices":[3313,3316],"text":"逻辑"},{"indices":[3318,3324],"text":"斯多葛主义"},{"indices":[3325,3334],"text":"Stoicism"},{"indices":[3335,3338],"text":"理性"},{"indices":[3339,3344],"text":"情绪管理"},{"indices":[3345,3350],"text":"思维模型"},{"indices":[3351,3356],"text":"人生哲学"},{"indices":[3357,3362],"text":"精神自由"},{"indices":[3363,3367],"text":"控制力"}],"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}]},"favorited":true,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1979903286498209903","view_count":96,"bookmark_count":1,"created_at":1760880702000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979903286498209903","full_text":"最近几天中国军方发生的新闻,想必大家都看到了,被处罚的当事人肯定会发生剧烈的心理波动。\n\n不仅仅是新闻中的当事人,甚至我们自己的遇到各种变动时,心理上也会产生波动。\n\n今天不谈新闻的本身,只聊一个西方的哲学理念“斯多葛主义”,即,如何在“个体意志”与“外部现实”之间发生剧烈冲突时,采用有效的方式缓解这种心理波动。\n\n🍯题设是这样的:\n一位在职业生涯中投入了数十年心血的人,因一次不可预测的市场动荡或内部权力重组,突然发现自己被边缘化或彻底清退。他所构建的身份认同、社会地位和经济保障似乎在一夜之间崩塌。\n\n这种经历带来的冲击,不仅仅是身份和地位的丧失,更是一种深刻的“存在性眩晕”。个体被迫直面一个事实:他所依赖的、用以定义自我价值的一切(认可、成功、财富、他人的看法),其本质是脆弱的、不可预测的,并且完全处在外部力量的掌控之下。\n\n这种“个体意志”与“外部现实”之间的剧烈冲突,揭示了一个贯穿人类经验的根本性抽象问题:当个体追求的东西完全依赖于外部环境的恩赐时,人类的心智系统如何可能维持稳定、理性和内在的安宁?\n\n斯多葛主义(Stoicism)——一个源自古希腊和罗马的、历经数百年锤炼的思想体系——正是为系统性地回应这一“存在性脆弱”问题而构建的。它并非一套旨在提供短暂安慰的“积极思维”,而是一个严谨的、近乎苛刻的、基于逻辑的认知操作系统。其唯一目标是,通过重新校准个体对“控制”、“价值”和“现实”的根本定义,来锻造一种不受外部命运波动所侵扰的精神自由(即人类的繁荣或至善)。\n\n这里拆解斯多葛主义的三个核心运作原则,以阐明这一思想体系如何对人类的苦难进行“诊断”,并提供一个内在框架。\n\n🎯核心原则一:控制二分法\n☯️1. 概念阐述:斯多葛主义的逻辑起点是对人类所有经验进行绝对的、无条件的分类。这一原则(以爱比克泰德的论述最为著名)主张,世间万物被清晰地划分为两大类:第一类是“我们能完全控制的”,第二类是“我们无法完全控制的”。 “可控的”事物仅限于我们内在的心智活动:我们的判断、我们的意图(或意志)、我们的欲望和我们的厌恶。 “不可控的”事物则包括其他一切:我们的身体(健康或疾病)、我们的财产、我们的声誉、他人的行为、以及最终的死亡。 斯多葛主义的纪律要求个体将100%的认知资源和意志力,仅用于前者;并对后者培养一种理性的、不动声色的“接纳”。\n\n☯️2. 现实现象:一个极端的例证是詹姆斯·斯托克代尔(一位爱比克泰德的研究者)的经历。作为一名战俘,他在越南被关押了七年半,经历了长期的酷刑、单独监禁和完全的不确定性。在这种情境下,个体对外部世界(释放日期、身体待遇、生存环境)的控制权被剥夺至零。许多意志薄弱的战俘在这种情况下彻底崩溃,因为他们将“希望”定义为“明年圣诞节前被释放”或“停止酷刑”。\n\n☯️3. 解决方式:斯多葛主义分析指出,传统意义上的“希望”在此刻是有害的,因为它将精神的安宁锚定在一个“不可控”的外部事件上。斯托克代尔的幸存,依赖于“控制二分法”的严格应用。 他清醒地认识到,他无法控制“是否被释放”或“是否被折磨”,但他100%地控制着“他如何回应折磨”、“他是否出卖情报”以及“他是否保持内心的尊严”。 通过将“希望”的定义从“获得自由”(不可控)转移到“有尊严地承受监禁”(可控),他重新定义了“胜利”的战场。这一原则的内在逻辑是:它是一个防御性的认知防火墙。它通过主动放弃对“不可控领域”的无效投资(焦虑、恐惧、徒劳的希望),将个体的能动性完全集中在唯一真正属于他的领域——他自己的意志和判断。\n\n🎯核心原则 二:价值的中立性\n☯️1. 概念阐述:这是“控制二分法”的必然推论。如果一件事物是“不可控的”,那么根据斯多葛主义的逻辑,它在“道德”上必须是中立的。这意味着,所有“不可控”的事物——包括健康、财富、痛苦、声誉甚至死亡——本身既不是“善”,也不是“恶”。它们被统称为“无关紧要之物”(或称“中立物”)。 唯一的“善”是“美德”(即理性的、符合自然和正义的判断与行为);唯一的“恶”是“恶习”(即非理性的、错误的判断与行为)。 当然,斯多葛主义承认某些“中立物”是“可取的”(如健康、财富),而另一些是“不可取的”(如疾病、贫穷),但它们绝对不能被提升到“善”或“恶”的高度。\n\n☯️2. 现实现象:以“社会声誉”为例。在当代社会,个体常常因社交媒体上的负面评价、公开的批评职业污点而经历极端的心理痛苦,甚至导致“社会性死亡”的恐惧。个体的自我价值感与“他人的看法”(一种经典的“不可控”外部事物)被深度绑定。一个负面的匿名评论,足以摧毁一个人一天的安宁。\n\n☯️3. 解决方式:斯多葛主义对这种痛苦的“诊断”是,个体犯了一个致命的“范畴错误”。他错误地将“声誉”(一个“中立物”)当作了“善”本身。 这一原则的逻辑功能是“价值重估”。它系统性地剥离了外部事物上的“道德标签”。如果声誉是“中立的”,那么他人的赞美(可取的)和诋毁(不可取的)都不能增加或减少你作为理性个体的核心价值(即你的美德)。 这种价值体系的转换,其目的是“切断”外部事件与内部安宁之间的直接因果链。如果“坏名声”不是一种“恶”,那么对它的恐惧就是非理性的。这种逻辑操练旨在实现一种极端的心理独立:个体的价值感完全自给自足,仅由其“内在美德”来定义,从而对外部的赞誉或谴责“免疫”。\n\n🎯核心原则三:认知的首要性\n☯️1. 概念阐述:如果说前两个原则是“世界观”的设定,那么第三个原则就是“心理实践”的核心机制。斯多葛主义认为,使我们陷入混乱和痛苦的,不是“事件”本身,而是我们对这些事件的“判断”或“看法”。 一个外部事件(例如,引言中提到的“身份突变”)本身只是一个“中立”的事实。它之所以造成痛苦,是因为个体立即对其附加了一个判断,如:“这是一场灾难”、“我的人生失败了”、“我一文不值”。 斯多葛主义的核心训练,就是“同意的训练”——在“刺激”(外部事件)和“反应”(情绪痛苦)之间,强行插入一个“认知审查”的步骤。\n\n☯️2. 现实现象:以“突发性丧失”为例,例如亲人的骤然离世。这是人类经验中最深刻的痛苦之一。即时的、压倒性的心理作用是:“这是无法承受的”、“这是世界上最痛苦的时刻”、“我的生活彻底失去了希望”。这种印象会立即引发剧烈的悲痛。\n\n☯️3. 解决方式:斯多葛主义在此处展现了其最“临床”的一面。它不否认生理的痛苦或情感的冲击(这些被视为自然的、“不可取的”中立物)。但它严格地分析上述的“判断”。 它会系统性地质询这些判断:“死亡”是一个“不可控”的自然事件吗?是的。根据原则二,它是一种“恶”吗?不是(它是一个“中立物”,尽管是“不可取的”)。那么,“我的生活彻底失去了希望”这个判断是基于现实的吗?不是,它是一个基于“错误价值认定”的非理性“同意”。 这种内在逻辑的运作,不是为了“消除”悲伤,而是为了“拒绝”由非理性判断所导致的、具有毁灭性的“激情”。它旨在将情感反应限制在对其“不可取的中立物”的自然反应上,同时防止这种反应升级为对“自我”和“现实”的毁灭性哲学判决。这一原则是该系统的执行程序,旨在通过审查和修正“判断”,来保护心智的“指挥中心”免受非理性情绪的颠覆。\n\n斯多葛主义不是一套用于“感觉良好”的安慰性信条,而是一个旨在彻底“重塑”个体认知结构和价值体系的训练思想。它首先通过“控制二分法”划定意志的边界;接着通过“价值中立性”剥离外部事物的道德属性;最后通过“认知的首要性”提供一套实时的“判断审查”工具。\n\n这一思想体系的激进之处在于,它将人类所有的“苦难”最终归因于一种“认知错误”——即错把“不可控”的当作“可控”的,以及错把“中立的”当作“善或恶”的。因此,它所追求的“安宁”,并非来自外部世界的顺遂,而是来自内部逻辑的绝对一致和对现实的清醒认知。它是一个要求持续实践、高度自律、甚至反直觉的思想操作系统,其最终目的是在承认外部世界完全不可控的前提下,实现内在精神的绝对自主和安宁。\n#哲学 #心理学 #思维 #认知 #知识 #逻辑\n\n#斯多葛主义 #Stoicism #理性 #情绪管理 #思维模型 #人生哲学 #精神自由 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step-by-step),然后看着它奇迹般地解决那些原本棘手的复杂问题。从数学题到逻辑推理,这句简单的指令仿佛成了一句解锁模型潜能的“咒语”。\n\n但你是否想过,这句咒语为什么如此有效?大多数人可能会直觉地认为,这是给了模型更多的“思考时间”或计算空间来处理问题。然而,一篇名为《从稀疏依赖到稀疏注意力:揭示思维链如何提升Transformer的样本效率》的研究指出,真正的原因远比这更深刻,也更令人惊讶。\n\n本文将揭示这篇论文背后隐藏的四大关键洞见,改变你对思维链(Chain-of-Thought, CoT)的传统认知。\n\n🔥1. 核心优势并非更强大,而是学得快:指数级的样本效率提升\n思维链的首要魔力,并非增强模型的“表达能力”(expressiveness),而在于大幅提升其“学习效率”(sample efficiency)。这听起来可能有些反直觉,因为我们总觉得更强的能力来自于更强的模型结构。但论文的理论证明指出,即便是最简单的单层Transformer模型,也具备足够的表达能力来解决奇偶校验问题。问题在于,它们就是学不会如何去解。\n为了证明这一点,研究者们设计了一个精妙的实验:奇偶校验(Parity)问题。简单来说,就是从一长串二进制数中,找出几个预先设定的“秘密”数字,然后判断这些秘密数字的和是奇数还是偶数。这个问题本身结构简单,但对神经网络来说却是一个经典的难题。\n\n实验结果的对比是惊人的:\n 🎓• 没有CoT的情况: 当模型只能看到问题和最终答案时,实验结果与理论分析都表明,它需要指数级的训练样本才能学会。这意味着,随着问题难度(秘密数字的数量k)的增加,所需的训练数据量会呈爆炸式增长,很快变得不切实际。\n 🎓• 使用CoT的情况: 当研究者将解题步骤(例如,每次只累加一个秘密数字的中间结果)作为CoT提供给模型时,模型仅需近似线性的样本就能轻松学会。正如论文的实验和理论所揭示的,学习效率获得了指数级的提升。\n\n结论:CoT的真正价值在于极大地提升了样本效率。它像一位高效的导师,让模型能用极小的代价,学会那些原本需要海量数据才能掌握的困难任务。\n\n🔥2. 成功的秘诀:稀疏注意力机制\nCoT之所以能实现这种惊人的效率提升,关键在于它为数据引入了一种名为“稀疏的序列依赖关系”(sparse sequential dependence)的特性。当一个复杂问题被分解为CoT的简单步骤后,每一步的计算通常只需要依赖前面内容中的极少数关键信息。例如,在奇偶校验的CoT中,计算第三步的结果只需要第二步的结果和第三个秘密数字,而与其他所有信息无关。\n\n这种稀疏的依赖关系,恰好能够引导Transformer模型内部的注意力机制学会一种高效的工作模式——“稀疏注意力”(Sparse Attention)。模型不再需要漫无目的地关注所有输入,而是学会了将注意力高度集中在少数几个当前步骤最相关的部分上。\n\n论文通过实验清晰地展示了这一点:\n 🎓• 可解释的注意力图: 训练完成后,模型的注意力模式变得异常清晰。从论文实验可以看出,在CoT的每一步计算中,注意力都像激光一样,精确地聚焦到了当前步骤所需的那一个“秘密”数字上,而完全忽略了其他无关的输入。\n 🎓• 注意力熵与准确率的关系: 研究者使用“归一化注意力熵”来衡量注意力的稀疏程度(熵越低,注意力越集中)。他们发现,模型的注意力变得越稀疏,其解决问题的准确率就越高。实验数据明确显示,当注意力熵急剧下降时,模型的准确率会随之跃升至100%。\n\n结论:CoT就像一位导师,教会了模型如何“抓重点”。这种学会聚焦、避免在海量信息中迷失的能力——即稀疏注意力——正是其高效学习的核心机制。\n\n🔥3. 意外发现:没有CoT,模型也能自学稀疏性,但过程极其漫长\n\n如果稀疏注意力真的是关键,那么一个模型即使在没有CoT引导的情况下,也应该只有在它以某种方式自发学会这种稀疏性之后才能成功。研究者们设计了一个巧妙的实验来验证这一点。他们进行了“多轮训练”(Multi-pass Training):在不使用CoT的情况下,让模型在同一个小型数据集上反复、高强度地训练。\n\n结果令人震惊,并且有力地证实了这一假说。首先,经过足够长时间的“死磕”,模型最终竟然也学会了解决奇偶校验问题。通过观察模型内部的变化,研究者发现,成功的转折点同样在于其内部自发地发展出了稀疏的注意力模式。在训练初期,模型表现不佳,注意力熵很高;随后进入一个漫长的平台期,虽然损失函数没有明显下降,但其注意力熵却在持续悄然降低;一旦注意力变得足够稀疏,模型的准确率就会像顿悟一般突然飙升。\n\n而实验中最具颠覆性的发现来自于对不同数据集规模的比较:\n 🎓• 在5万个样本的小数据集上反复训练,模型最终成功了。\n 🎓• 然而,当研究者把数据集扩大到100万个样本时,模型反而失败了。训练损失和注意力熵始终居高不下。\n\n结论:这个反直觉的结果意义重大。它证明了“稀疏注意力”是解决这类问题的根本,而不仅仅是数据量的堆砌。CoT提供了一条高效的“捷径”,直接引导模型走向稀疏性。而没有CoT的“蛮力学习”则像是在黑暗中摸索,虽然可能最终也能跌跌撞撞地找到通往稀疏性的道路,但这个过程缓慢、低效且充满不确定性——甚至更多的数据反而可能成为一种干扰。\n\n🔥4. 从理论到现实:真实世界的大模型同样遵循此道\n以上所有发现,并不仅仅适用于奇偶校验这样的合成问题。研究者们进一步在真实世界的数学问题数据集GSM8K上验证了他们的理论,发现这一机制在真实的大模型上同样适用。\n 🎓• CoT数据诱导稀疏性: 实验结果表明,当一个预训练的通用大模型(如Qwen2-7B)处理带有CoT解题步骤的数学题数据时,其注意力熵显著低于处理没有CoT的“问题-答案对”数据。这证明了真实世界中的CoT数据同样具备引导模型形成稀疏注意力的结构。\n 🎓• CoT微调增强稀疏性: 研究者进一步比较了通用模型(Qwen2-7B)和在数学CoT数据上微调过的专业模型(Qwen2-Math-7B)。结果显示,经过CoT数据微调的数学模型,在处理相同问题时,其注意力模式变得更加稀疏。\n\n结论:CoT引导模型学习稀疏注意力的机制是普适的。无论是处理理论问题还是真实世界的复杂任务,这种机制都在发挥作用。模型不仅能在训练中学会这种高效的推理模式,而且专门针对CoT数据进行优化的模型,会更擅长运用这种能力。\n\n重新理解“思考”的本质\n现在,让我们回到最初的问题:为什么“一步一步地思考”这句咒语如此神奇?\n\n这篇研究给出了一个清晰而深刻的答案:CoT的魔力不在于赋予模型新的超能力,而在于通过引入稀疏的依赖关系,将一个难以学习的问题转化为一个容易学习的问题,从而极大地提升了模型的学习效率。其背后最核心的机制,就是引导模型形成了稀疏和可解释的注意力模式。\n当我们让模型“一步一步思考”时,我们不仅仅是在给它时间,更是在给它一个结构化的、稀疏的思考框架,帮助它学会如何聚焦,如何从复杂性中提炼出关键信息。\n\n这不禁让我们思考一个更深层次的问题:既然我们知道了“稀疏性”是解锁高效推理的关键,那么未来的研究是否能设计出一种全新的模型架构,让它无需依赖“一步一步”的外部提示,就能天生高效地学习和捕捉世界中的稀疏因果关系呢?这或许是通往更强大、更通用人工智能的下一条路径。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-27","value":0,"startTime":1761436800000,"endTime":1761523200000,"tweets":[{"bookmarked":false,"display_text_range":[0,144],"entities":{"hashtags":[{"indices":[878,884],"text":"提示词工程"},{"indices":[885,889],"text":"LLM"},{"indices":[890,895],"text":"AIGC"},{"indices":[896,902],"text":"大语言模型"},{"indices":[903,908],"text":"人工智能"},{"indices":[909,914],"text":"AI研究"},{"indices":[915,933],"text":"PromptEngineering"},{"indices":[934,946],"text":"LLMResearch"},{"indices":[947,952],"text":"AI理论"},{"indices":[953,958],"text":"机器学习"}],"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}]},"favorited":false,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1982308237241446694","view_count":107,"bookmark_count":0,"created_at":1761454087000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1982308237241446694","full_text":"揭开提示工程的神秘面纱\n\n我们在与大型语言模型(LLM)打交道时,“提示工程”常常给人一种近乎“魔法”的印象。\n\n在调教提示词时,我们在依赖直觉和反复试错,像炼金术士一样,通过不断调整措辞、增删词语,试图找到那句能让模型输出最佳结果的“咒语”。这个过程充满了不确定性,但其效果又出奇地好。\n\n这引出了一个深刻的谜题:为什么那些通过手动精心调整,甚至是自动化算法在训练数据上搜索出来的“完美”提示词,不仅在训练数据上表现出色,也往往能在全新的、模型从未见过的数据上表现优异?按照传统机器学习的经验,这种针对训练数据的“过度优化”很容易导致“过拟合”(即模型只是死记硬背了训练样本的答案,而失去了泛化到新问题的能力)。然而,提示工程似乎天然地对这种陷阱免疫,为什么呢?\n\n最新的研究表明提示工程远非简单的反复试错,其背后隐藏着深刻的计算机制和统计学规律。\n\n以下是5个研究结论:\n\n1. 提示词即程序,而非指令。输入提示词是在动态“配置”LLM,即时构建一个“虚拟神经网络”。你的措辞是在“编程”,直接定义网络架构和权重。\n\n2. 单个注意力头具备“万能逼近器”潜力。理论证明,一个注意力头配合精巧的前缀(prefix-tuning),即可模拟任意连续函数。关键是激发核心组件的内在计算力,而非仅依赖模型规模。\n\n3. 手调提示词的泛化保障:自然性。PAC-Bayes理论表明,提示词不易过拟合,因为受“自然语言”约束。一个有效的提示词必须是“自然的”(KL散度低),这限制了其为迎合训练数据而产生的复杂性。\n\n4. 长提示词(CoT)构建更深的“虚拟网络”。“思维链”有效,不只因提供了更多上下文。更长的提示词在功能上构建了更深、更复杂的虚拟计算网络,从而降低复杂任务的近似误差。\n\n5. 无关信息是“灾难”,而非“干扰”。提示词中的“噪声”词元会带来一个无法消除的误差下限。无论有效部分多长,模型性能都会被“卡”在低水平。保持高信噪比是前提,不是优化。\n\n提示词工程正从艺术转向科学。理解其“编程”和“函数逼近”的本质,是系统化设计“超级提示”的基础。\n\n#提示词工程 #LLM #AIGC #大语言模型 #人工智能 #AI研究 #PromptEngineering #LLMResearch #AI理论 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problem)。研究发现,即使是一个简单的单层Transformer,其模型结构也已经具备了表达奇偶校验函数解法的能力。然而,令人惊讶的是,如果没有思维链的引导,模型需要指数级数量的训练样本才能学会这个函数,这在实践中几乎是不可能的。\n相比之下,当为模型提供带有思维链的训练数据时(即包含计算过程的中间步骤),同一个Transformer模型仅需多项式级的样本就能学会。这是一个在样本效率上指数级的提升。正如一篇研究论文所指出的:\n“在不使用CoT时,大语言模型常常在一些简单任务上遇到困难——比如计算‘strawberry’这个单词里有多少个‘r’。考虑到模型尺寸越来越大,这类任务超出其表达能力的上限似乎是不太可能的。”\n这项研究进一步揭示,思维链通过在输入中引入稀疏的序列依赖关系,引导模型学习到稀疏且可解释的注意力模式,这使得模型能将注意力集中在下一步计算所需的少数关键信息上,而不是在庞杂的输入中迷失方向,从而极大地简化了学习过程。这说明,思维链的核心价值之一在于它让模型能更高效地从数据中学会推理,而不是赋予它一种原本不具备的能力。\n\n3. 分步推理使AI在面对信息不完美时更加稳健\n\n现实世界的数据充满了噪声、错误和不完整的信息。无论是人类标注的数据,还是网络上抓取的内容,都很难做到完美无瑕。这对依赖数据学习的AI模型构成了巨大挑战。\n研究表明,在这种不完美的环境下,思维链相比标准的上下文学习(In-Context Learning, ICL)展现出显著的优势。ICL严重依赖于示例的质量——如果示例中的答案是错误的,模型很可能会被误导。然而,思维链的分步过程允许模型超越单个答案的对错,去学习和提取其背后正确的推理过程。\n一项实验有力地证明了这一点:一个使用思维链数据训练的Transformer模型,即使在其30%的训练数据中,中间步骤存在损坏或缺失,最终的推理准确率依然非常高。这意味着,模型能够透过不完美的数据,“领悟”到解决问题的正确逻辑和方法。这种稳健性对于AI在真实世界中的应用至关重要,它使得模型能够从不完美但更接近现实的人类数据中,学习到可靠的推理能力。\n\n4. 从统计学上看,CoT几乎总是更优选择,但“坏思路”可能有害\n\n从统计学的角度看,思维链可以被理解为一种“贝叶斯模型平均”(Bayesian Model Averaging, 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code,后端的模型换做其他,但是不知道效果会不会打折扣?","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":1,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1983562337614520416","view_count":2,"bookmark_count":0,"created_at":1761753088000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983562337614520416","full_text":"北大博士任教985高校三年:考核未过,背着百万房贷离开\n\n“措手不及!”今年元旦刚过,一纸“不再续聘”通知“传”到了36岁的程欣手中。月末就是春节,程欣本打算和妻儿过个好年,却被催促着务必尽快办完离职手续,清空办公室。\n在考核前,他曾多次询问院系相关领导,得到的答案是“无需担心”。因此,他并未着手寻找新的工作,谁知迎来的是冷水浇头。\n\n时间拉回2021年,程欣作为“优秀博士学位论文”的获得者,从北京大学毕业。当时,他一共拿到33个工作offer,最终选择入职了这所心仪的985高校。\n\n程欣经历了许多:入职不到一年,为了完成考核,他不得不放弃深耕10年的方向,转向更“热门”、便于发论文的课题。他曾因教学评价高而获得“教学优秀奖”,还带领本科生拿到“挑战杯”国家级一等奖,但这些对考核毫无助力。\n\n但过去的经历依然历历在目。程欣提出了一个深埋心中的疑问:学术,到底应该被当成一份功利化考量的工作,还是一份理想追求?\n\n以下是他的讲述:\n\n📚启程\n\n2021年夏天,我从北京大学博士毕业,是优秀博士学位论文的获得者。从硕士到博士,我都跟随同一位导师研究社会科学,围绕同一个主题深入做研究,发表了10余篇论文。\n\n我的导师是一位纯粹的研究型学者,整个师门的氛围是潜心学术的。我博士期间的目标就是毕业后成为大学老师,能够做自己感兴趣的研究,同时培养学生。\n\n毕业季,我投出200多封邮件,最后拿到了33个offer,其中包括某Top2大学马克思主义学院、北京一所师范大学的哲学系、承诺给编制的西部某“双一流”大学……\n\n最终,我下定决心入职这所985高校,原因是多方面的。首先是导师的建议和我理想主义的想法——当时,师门里还没有同学去往那座城市,我想做个开拓者;其次,引进我的老师很有人格魅力,我感觉遇到了“伯乐”;此外,虽然合同上写的考核时间只有三年,但我得到的口头承诺是“3+3”,即首聘三年后,若考核未完全达标,学校通常会续聘三年。我想,虽然我的方向偏冷门一点,但6年的时间可以去“拼一把”。\n\n刚入职时,想法是很明确的:教学和科研两条腿走路。那时学校还有一条“教学通道”——如果青年教师在论文发表和课题申请上稍有不足,通过教学依然可以评职称、留下来。\n\n在教学方面,我投入了巨大热情,在2023年拿到了“校教学优秀奖”,并带领本科生团队拿到“挑战杯”国家级一等奖,后者在学院是史无前例的。\n\n在科研方面,我做了一个有点痛苦的决定。入职不到一年,我意识到,坚持原有的冷门方向,意味着不可能达到考核要求。正好有一门热门主题课程的老师临近退休,由我接手。为了转换方向,我跟着本科生坐在教室里,认认真真听了那学期的每一堂课。\n\n我们系的氛围很好,领导、同事给了我许多支持和帮助。经人介绍,我结了婚,把所有存款拿来买了房子,并贷款100多万。我和爱人的收入加起来不高,一个人支撑房贷,一个人支撑生活用度,两个人过着普通的小日子。这样“安稳”的生活,已经让我心满意足。\n\n📚变故\n\n2023年,学校的一纸新政彻底堵死了“教学通道”。其规定,副高职称以下的青年教师,原则上不允许再承担课程教学。实际操作是,学校层面直接取消了我们这些不符合职称要求的青年教师授课排课资格。\n\n我并没有太放在心上,毕竟在校工作期间,我发表了多篇论文,手上还有两篇“已录用”的论文。并且2024年临近考核期时,我反复向院系领导确认,得到的回复是“不用担心,老人老办法,原来的3+3承诺依然生效”。在我之前的老师,有些超出了6年合同期的,还根据情况给他们续了一两年,以达到论文发表要求。因此,我天真地以为自己“没问题”,也没有着手去找新的工作。\n\n2024年12月30日,我做工作答辩。次日,学院发布了对我“不再续聘”的决定,这个通知并未送达我本人,只是发布在公告墙上。两天后,我通过他人得知:我失业了。\n\n失业的第一周,整个人都是崩溃的。我还是会习惯性地拿起书,或打开电脑,但又马上意识到,我没有工作了。当时临近春节,没什么找工作的窗口,我在家发呆了整整一个月,还不时收到“尽快办理离职手续、清空办公室”的催促。\n\n收入断了,孩子出生不久,我还面临还房贷、养家的压力。“醒”来之后,我赶紧抓住春季招聘的窗口。最让我难受的是:我失业时,年龄刚满36岁,有很多好机会却将年龄卡在35岁,我无法申请。\n\n与家人反复商量后,我选择了一所南方沿海城市的高校。这所学校的名气没那么大,但考核要求不高,且薪资是之前的两倍多,还为我们一家三口提供了公寓。\n\n妻子安慰我:“100多万的房贷可以慢慢还,就当没来过,好歹还成了个家。”如今,我们已经举家搬迁到新的城市,从头开始。\n\n📚反思\n\n回头再看,我不禁反思:为何在考核制度下,我成了被淘汰的“不合格产品”?\n\n我必须先替学院的领导、同事说句公道话——他们都是很好的人,无论是工作期间对我的支持,还是找新工作时对我的安慰和帮助。那么,我面临的痛苦究竟来源于哪里呢?\n\n首先,制度存在“不明确地带”且不断变化。我承认,2024年底接受考核时,自己确实没有达到考核要求,即“三年内拿到一个国家级课题(或引进经费至少20万),同时发表至少5篇符合学校要求的期刊论文”。\n\n然而,这些要求是2024年学校的内部文件下发的“新办法”,并未写进我的入职合同,入职时也有“教学通道”和“3+3”的承诺,考核操作是比较“柔和”的。\n\n实际上,一个普通青年教师仅凭“个人”努力,极难甚至绝无可能在三年内达到如此严苛的标准。我和身边的朋友日均工作12~18小时,但大多是“非升即走”的失败者。\n\n我观察发现,高校的人才引进制度已经非常“市场化”了,永远有更年轻、更“卷”的人拿到职称,考核要求水涨船高,没能跟上节奏的“老人”惨遭淘汰。竞争是无情的,许多学校集结大批青年研究人员,学校的排名和论文发表数量大幅提升,但这对青年教师的影响很不好。\n\n其次,论文的发表存在着大片“灰色地带”。作为大学老师,每个星期打开邮箱,都能收到一大堆“代发论文”的邮件,其中期刊的等级被明码标价。\n\n此外,作者的身份职级影响着论文发表。我亲身经历过,一篇论文在投稿时顺利通过审核,马上要发表了,编辑明确告诉我:“找一个正教授挂名,我们马上给你发表。”我当时想了很久,却没舍得,因为那篇论文是我花费很多心血的得意之作。\n\n我们会看到,一位知名学者一年论文的发表量,超过一整所大学。被指出后,这种现象依然没有收敛,反而愈演愈烈。\n\n无论是花钱“买”论文,还是找“大佬”带,都是普通青年教师难以承担的成本。\n\n📚平庸之恶\n\n除了我自己的亲身经历,我还想举三个身边朋友的案例。\n\n我的一位师弟,是大家心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"media":[{"display_url":"pic.x.com/WqskjWwwxp","expanded_url":"https://x.com/Georgeistrue/status/1983563770892112338/photo/1","id_str":"1983563747445919744","indices":[110,133],"media_key":"3_1983563747445919744","media_url_https":"https://pbs.twimg.com/media/G4cIuAvbUAACTwe.jpg","type":"photo","url":"https://t.co/WqskjWwwxp","ext_media_availability":{"status":"Available"},"features":{"large":{"faces"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心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[9,19],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"1164388321545449472","name":"卫斯理","screen_name":"imwsl90","indices":[0,8]}]},"favorited":false,"in_reply_to_screen_name":"imwsl90","lang":"zh","retweeted":false,"fact_check":null,"id":"1983467757141389805","view_count":1325,"bookmark_count":0,"created_at":1761730539000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983458922406236328","full_text":"@imwsl90 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se,"fact_check":null,"id":"1979226402886160397","view_count":118,"bookmark_count":1,"created_at":1760719321000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979226402886160397","full_text":"今天看了一篇文章,是关于“计算机之父”和“人工智能之父”——艾伦·图灵的。\n\n看完之后,我真切地感受到:在科技史最耀眼的光芒背后,藏着人类社会最深的阴影。\n图灵并非完美无瑕的天才。他口吃、内向、不擅交际,常常被同龄人视为怪人。而讽刺的是,正是这种“格格不入”,让他看清了机器与人类思维的边界,也让他在战争中用逻辑和算法击败了纳粹的“恩尼格玛”密码机,拯救了数百万人的生命。\n\n但也是这种“不谙世事”的真诚,害死了他。当他坦率承认自己与男性的恋情时,社会没有给予理解与尊重,反而用法律和化学药剂摧毁了他的身体与尊严。\n\n他用数学奠定了计算机的根基,却被非理性的偏见压垮。\n他为世界争取了未来,却没能在自己的时代被宽恕。\n\n也许,人类真正的考验,不在于能否让机器思考,而在于能否学会以更高的智慧去理解“人”。\n\n🎭艾伦·图灵:编码天空的孤独奔跑者\n艾伦·图灵的一生,像一台他自己构想的通用机器,被输入了两个截然相反的程序。一个程序由纯粹的逻辑、数字和宇宙秩序构成,驱动他奔向人类智识的巅峰,奠定了我们今天整个数字时代的地基;另一个程序则由社会的偏见、法律的冷酷和人性的脆弱写就,将他拖入个人悲剧的深渊,最终在一只浸毒的苹果旁戛然而止。他是一位用思想重塑20世纪的先知,却被他誓死保卫的世界无情地放逐。要理解图灵,我们不仅要追溯他的天才轨迹,更要凝视那个时代投射在他身上的、巨大而扭曲的阴影。\n\n✍️孤独的奔跑者\n艾伦·马西森·图灵于1912年诞生于一个往返于英帝国与印度的家庭,这种疏离的成长环境似乎从一开始就预示了他一生的孤独。他的童年是在陌生的寄宿家庭和冰冷的公学制度中度过的,在那里,他对科学——尤其是化学和数学——近乎本能的热爱,被视为对古典教育的公然挑衅。老师们在评语中抱怨他“无可救药地偏科”,希望他成为一个“受过教育的人,而非仅仅是一个科学家”。然而,图灵的思维早已在另一个维度上奔跑。当同龄人还在背诵拉丁文时,他已经独立领悟了爱因斯坦的相对论,并能从更基础的牛顿定律中推导出对其的质疑。\n\n他的世界是抽象符号和自然规律构成的内在宇宙,现实世界的人际交往则让他显得笨拙、害羞,甚至有些口吃。他是一个长跑爱好者,时常独自一人在乡间小径上奔跑数十公里。这不仅仅是锻炼,更像一种仪式——在肉体的极限疲惫中,他的大脑得以进入最纯粹、最高效的思考状态。奔跑时,世界简化为呼吸的节奏、肌肉的酸痛和脑海中不断旋转的逻辑链条,这正是他所熟悉和热爱的状态。\n\n在这片孤独的智识荒原上,出现过唯一的光源——克里斯托弗·莫尔科姆。他是图灵在舍伯恩公学唯一的知己,一个同样对科学充满热情的少年。他们之间的情感,超越了简单的友谊,是一种深刻的智识共鸣与灵魂契合。他们一同探讨哥德尔不完备定理,争论量子力学的奥秘,梦想着未来在剑桥携手并进。克里斯托弗是图灵与这个格格不入的世界之间唯一的桥梁。然而,1930年,这座桥梁轰然断裂。克里斯托弗因牛结核病猝然离世。\n\n挚友的死亡,成为图灵人生的第一个巨大创伤,也催生了他哲学思考的第一个核心命题。他反复写信给克里斯托弗的母亲,试图用科学的语言去理解那个不可逾越的边界:意识是什么?精神能否独立于肉体而存在?一个人的思维,是否可以被某种机制(Mechanism)所复制和保存?这个问题,如同一个幽灵,贯穿了他此后的全部研究。他不再仅仅满足于解开数学谜题,他要探寻思维本身的奥秘。那个孤独的奔跑者,从此有了一个终极的追问目标——他要用逻辑和机器,去追赶一个逝去挚友的灵魂。\n\n✍️逻辑的宇宙\n克里斯托弗的离去,将图灵彻底推向了纯粹的理论世界。1931年,他进入剑桥大学国王学院,这里自由的学术氛围终于让他如鱼得水。正是在剑桥的草坪与回廊间,图灵完成了他一生中最重要的理论奠基。\n\n20世纪初的数学界,被一个幽灵般的问题所困扰,即大卫·希尔伯特提出的“判定问题”(Entscheidungsproblem):是否存在一个确定的、可机械执行的程序,能够在有限时间内判断任何一个给定的数学命题的真伪?这实际上是在问:数学的边界在哪里?是否存在一个“万能算法”?\n\n年仅24岁的图灵,以一种惊世骇俗的方式回答了这个问题。他没有直接进行数学推演,而是构想出了一台结构异常简单的抽象机器——后世称之为“图灵机”(Turing Machine)。这台机器拥有一条无限长的纸带、一个读写头和一套有限的指令规则。读写头可以在纸带上左右移动、读取符号、擦写符号。图灵证明,任何人类能想到的、符合逻辑的计算过程,无论多么复杂,都可以被这台简单的机器所模拟。\n\n“图灵机”的意义是颠覆性的。首先,他通过证明不存在一台可以判断所有程序是否会停机的“图灵机”,从而举重若轻地宣告了“判定问题”的最终答案:不存在这样的万能算法。数学中存在着机器永远无法判定的“不可计算”领域。其次,也是更重要的,他为“计算”这个模糊的概念提供了一个精确、严格的数学定义。在此之前,人们认为计算是人类心智的活动;在此之后,计算被定义为一种可以被机器执行的符号操作过程。\n\n这篇名为《论可计算数及其在判定问题上的应用》的论文,无意中为整个信息时代画好了蓝图。它是一份关于通用计算机的理论出生证明。图灵向世界宣告,不需要为不同的任务设计不同的机器,一台设计合理的“通用图灵机”就可以通过加载不同的程序(写在纸带上的指令)来模拟任何其他机器,完成任何可计算的任务。从你的笔记本电脑到智能手机,其最底层的逻辑灵魂,都是这台在1936年诞生于一位年轻人脑海中的抽象机器。图灵用纯粹的逻辑,构建了一个全新的、平坦而广阔的计算宇宙。\n\n✍️谜中人\n理论的光辉很快被战争的阴霾所笼罩。第二次世界大战爆发后,图灵被秘密招募至英国的密码破译中心——布莱切利园。在这里,他不再是象牙塔中的理论家,而是一位与时间赛跑、与纳粹德国争夺海上生命线的解码战士。\n\n德国海军使用的“恩尼格玛”(Enigma)密码机,被认为是当时最坚不可摧的加密系统。它每天变更的密钥组合数量高达天文数字,依靠人力计算根本无法破解。布莱切利园汇集了英国最顶尖的语言学家、数学家和逻辑学家,但面对恩尼格玛的铜墙铁壁,最初的进展极其缓慢。\n\n正是在这里,图灵展现了他将抽象理论转化为强大物理工具的惊人能力。他意识到,对抗机器的,必须是更快的机器。基于波兰同行奠定的基础,图灵主导设计了一种巨型机电装置——“炸弹机”(Bombe)。这台机器并非一台通用计算机,而是一种专门的、高速的逻辑搜索引擎。它能模拟数台恩尼格玛机同时运转,通过对截获的德军密文进行高速逻辑排除,在数小时内找出当日的密钥。\n\n在布莱切利园,图灵是一个古怪而核心的存在。他会因为花粉过敏而在夏天戴着防毒面具骑车上班;他会用链条把自己的马克杯锁在暖气片上以防丢失。他缺乏社交技巧,不善言辞,却以不容置疑的智力权威领导着第8小屋(Hut 8)——负责破解德国海军密码的核心部门。他与同事琼·克拉克(Joan Clarke)——一位同样才华横溢的女数学家——之间曾有过短暂的婚约。他向她坦陈了自己的同性恋身份,克拉克表示并不介意,但图灵最终还是认为,这段婚姻对双方而言都将是一个谎言,从而解除了婚约。\n\n图灵和他的团队所取得的胜利是决定性的。历史学家普遍认为,布莱che园的工作,特别是对U型潜艇使用的“鲨鱼”密码的破解,将战争的进程缩短了至少两年,拯救了数以百万计的生命。然而,这一切都发生在绝对的机密之中。战争结束时,图灵无法向任何人言说他的功绩。他是一位匿名的英雄,一个藏在“恩尼格玛”这个巨大谜题背后的谜中人。他帮助世界赢得了胜利,却必须将自己最辉煌的成就,连同他真实的自我,一同锁进沉默的保险箱。\n\n✍️胜利的阴影\n战争的胜利本应是图灵事业的又一个起点。他怀揣着制造一台“电子大脑”——即真正的通用计算机——的雄心,先后加入了国家物理实验室(NPL)和曼彻斯特大学。他详细设计了“自动计算机”(ACE)的方案,其架构远比当时美国的设计更为先进和完整。然而,和平时期的官僚主义和工程实现的缓慢,让他感到窒息。他是一个习惯于思想奔跑的人,却被现实的泥潭拖住了脚步。他的方案被拖延、修改,最终的成果与他最初的设想相去甚远。\n\n与此同时,一种更深的阴影正悄然笼罩他的个人生活。在战后保守的英国,同性恋不仅是道德禁忌,更是刑事犯罪。随着冷战的开启,同性恋者还被视为容易被敌方敲诈勒索的安全隐患。图灵在布莱切利园的涉密背景,使他的个人生活受到了更严密的审视。\n\n他一面在曼彻斯特大学参与“曼彻斯特一号”计算机的早期软件工作,一面提出了后来闻名于世的“图灵测试”,用一个关于“模仿游戏”的思想实验,为“机器能否思考”这一人工智能的终极问题设定了第一个可操作的判断标准。他甚至开始将目光从计算转向生命的奥秘,研究起生物形态发生学,试图用数学方程解释动植物身上斑纹的形成规律,比如豹子为何是斑点而斑马为何是条纹。他正处在另一场科学革命的边缘。\n\n然而,社会留给他的时间已经不多了。胜利的荣光未能照亮他生活的角落,反而让他因为昔日的秘密身份而变得更加危险。那个曾经拯救了国家的人,正在被这个国家步步紧逼,推向悬崖。\n\n✍️被咬了一口的苹果\n悲剧在1952年降临。图灵家中失窃,他向警方报案。在警方的盘问下,不谙世事的他承认了自己与一位19岁青年阿诺德·默里的同性恋关系。盗窃案迅速被搁置,取而代之的是对图灵“严重猥亵”罪的起诉。\n\n在法庭上,图灵没有为自己辩护,他真诚地认为,两个成年人之间自愿的私密行为,不应受到法律的干涉。这种超越时代的坦诚,在当时的法官看来无异于自证其罪。他被判有罪,并面临两个选择:入狱服刑,或者接受“化学阉割”——通过注射雌性激素来“治疗”他的性欲。为了继续他的研究,图灵选择了后者。\n\n这种“治疗”对他而言是毁灭性的。激素注射带来了严重的生理和心理副作用,他身体发胖,精神萎靡,更重要的是,他感到一种深刻的屈辱。那个曾用大脑对抗一个帝国的人,如今连自己的身体都无法掌控。他的安全许可被吊销,被禁止进入曾经奋战过的布莱切利园,甚至在出国旅行时也受到监视。他被曾经服务过的国家,当作一个潜在的叛徒和道德上的病人。\n\n1954年6月7日,图灵被他的女管家发现死在自己的床上,年仅41岁。床头柜上,放着一个被咬了一口的苹果。法医的鉴定结果是氰化物中毒,死因被判定为自杀。那个苹果,似乎是他对自己童年最喜欢的童话《白雪公主》的最后模仿。\n\n然而,关于他的死,至今仍有疑点。他的母亲坚决不相信儿子会自杀,认为这是一场实验意外。图灵的家中本就有一个用氰化物进行电解实验的小实验室。那个苹果是否真的浸毒,或者他是否真的吃了那个苹果,都缺乏决定性的证据。但无论真相是自杀还是意外,一个不争的事实是:一个伟大的头脑,在一个充满偏见和敌意的社会里,被逼到了生命的绝境。那个被咬了一口的苹果,成为了一个永恒的符号,象征着知识的代价、禁忌的诱惑,以及一个天才被时代毒害的悲剧。\n\n✍️数字幽灵的复活\n图灵死后,他的名字在很长一段时间里归于沉寂。由于官方的保密协议,他在战争中的巨大贡献不为世人所知。在计算机科学领域,他的开创性理论也被后来的硬件发展所掩盖。他似乎只是一个名字古怪的数学家,最终因一桩不光彩的丑闻而结束了生命。\n\n然而,思想的种子一旦种下,终将冲破时间的冻土。随着计算机革命的深入和人工智能的兴起,人们越来越频繁地回溯到那个源头。他们震惊地发现,今天数字世界里几乎所有最深刻的概念——算法、通用计算、人工智能——都可以在图灵几十年前的论文中找到清晰的印记。他的“图灵机”成为衡量一切计算能力的理论标尺,“图灵测试”至今仍是人机界限的试金石。\n\n当布莱切利园的档案在70年代解密后,世界更是为之震动。一个被遗忘的战争英雄形象浮出水面。人们终于意识到,那个被当作罪犯处理的人,恰恰是拯救了西方文明的关键人物之一。\n\n迟到的正义,以一种国家级的忏悔形式到来。2009年,时任英国首相戈登·布朗代表政府,为当年对图灵的“骇人听闻的对待”正式道歉。2013年,英国女王伊丽莎白二世颁发皇家赦免令,宣布他的罪名无效。2021年,艾伦·图灵的头像被印在全新的50英镑纸币上,与他设计的“炸弹机”图纸和那句名言并列:“这不过是将来之事的前奏,也是将来之事的影子。”\n\n图灵的灵魂,在他死后半个多世纪,以一种王者归来的姿态,完成了对那个放逐他的世界的“复仇”。他不再是一个悲剧性的人物,而成为一个象征——象征着科学理性的力量,象征着对偏见的抗争,象征着一个超越了自己时代的头脑,最终被未来所拥抱。他的一生,始于孤独的奔跑,如今,全世界都在追随他的步伐,跑向一个由他最先用逻辑编码出的未来。\n\n#艾伦图灵 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“$\\theta$-$\\tau$ 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“theta-tau 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 #传奇人生","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,32],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1979559653236441157","view_count":56,"bookmark_count":0,"created_at":1760798774000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979559653236441157","full_text":"什么是风险?风险就是在你觉得已经考虑周全的时候,被你遗漏的东西。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[7,25],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3178231","name":"宝玉","screen_name":"dotey","indices":[0,6]}]},"favorited":false,"in_reply_to_screen_name":"dotey","lang":"zh","retweeted":false,"fact_check":null,"id":"1979397787453395335","view_count":136,"bookmark_count":0,"created_at":1760760182000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979347434586402977","full_text":"@dotey 我擦,控制不好,一刀下去,耳朵👂没了","in_reply_to_user_id_str":"3178231","in_reply_to_status_id_str":"1979347434586402977","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[10,91],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"44196397","name":"Elon Musk","screen_name":"elonmusk","indices":[0,9]}]},"favorited":false,"in_reply_to_screen_name":"elonmusk","lang":"en","retweeted":false,"fact_check":null,"id":"1979483972192309357","view_count":54,"bookmark_count":0,"created_at":1760780730000,"favorite_count":7,"quote_count":0,"reply_count":0,"retweet_count":1,"user_id_str":"871838994002321410","conversation_id_str":"1979431839824777673","full_text":"@elonmusk I suppose if it can help me \"grok\" why I can never get out of bed in the morning.","in_reply_to_user_id_str":"44196397","in_reply_to_status_id_str":"1979431839824777673","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,42],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3122661542","name":"Yangyi","screen_name":"Yangyixxxx","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"Yangyixxxx","lang":"zh","retweeted":false,"fact_check":null,"id":"1979510334013775937","view_count":232,"bookmark_count":0,"created_at":1760787015000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979496155571732763","full_text":"@Yangyixxxx 谷歌账号为啥还要囤?随时注册随时有吧?难道后面会限制注册吗?","in_reply_to_user_id_str":"3122661542","in_reply_to_status_id_str":"1979496155571732763","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,72],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"885086674828578816","name":"Mr Panda","screen_name":"PandaTalk8","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"PandaTalk8","lang":"zh","retweeted":false,"fact_check":null,"id":"1979551640287089135","view_count":623,"bookmark_count":1,"created_at":1760796863000,"favorite_count":3,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979427457158779383","full_text":"@PandaTalk8 是的,这也是我喜欢用cursor的原因,可以设置,把每一步做的修改展示出来,手动确认,虽然效率低点,但是进步也是飞快的。","in_reply_to_user_id_str":"885086674828578816","in_reply_to_status_id_str":"1979427457158779383","is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-20","value":17,"startTime":1760832000000,"endTime":1760918400000,"tweets":[{"bookmarked":false,"display_text_range":[0,82],"entities":{"hashtags":[{"indices":[3292,3295],"text":"哲学"},{"indices":[3296,3300],"text":"心理学"},{"indices":[3301,3304],"text":"思维"},{"indices":[3305,3308],"text":"认知"},{"indices":[3309,3312],"text":"知识"},{"indices":[3313,3316],"text":"逻辑"},{"indices":[3318,3324],"text":"斯多葛主义"},{"indices":[3325,3334],"text":"Stoicism"},{"indices":[3335,3338],"text":"理性"},{"indices":[3339,3344],"text":"情绪管理"},{"indices":[3345,3350],"text":"思维模型"},{"indices":[3351,3356],"text":"人生哲学"},{"indices":[3357,3362],"text":"精神自由"},{"indices":[3363,3367],"text":"控制力"}],"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}]},"favorited":true,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1979903286498209903","view_count":96,"bookmark_count":1,"created_at":1760880702000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979903286498209903","full_text":"最近几天中国军方发生的新闻,想必大家都看到了,被处罚的当事人肯定会发生剧烈的心理波动。\n\n不仅仅是新闻中的当事人,甚至我们自己的遇到各种变动时,心理上也会产生波动。\n\n今天不谈新闻的本身,只聊一个西方的哲学理念“斯多葛主义”,即,如何在“个体意志”与“外部现实”之间发生剧烈冲突时,采用有效的方式缓解这种心理波动。\n\n🍯题设是这样的:\n一位在职业生涯中投入了数十年心血的人,因一次不可预测的市场动荡或内部权力重组,突然发现自己被边缘化或彻底清退。他所构建的身份认同、社会地位和经济保障似乎在一夜之间崩塌。\n\n这种经历带来的冲击,不仅仅是身份和地位的丧失,更是一种深刻的“存在性眩晕”。个体被迫直面一个事实:他所依赖的、用以定义自我价值的一切(认可、成功、财富、他人的看法),其本质是脆弱的、不可预测的,并且完全处在外部力量的掌控之下。\n\n这种“个体意志”与“外部现实”之间的剧烈冲突,揭示了一个贯穿人类经验的根本性抽象问题:当个体追求的东西完全依赖于外部环境的恩赐时,人类的心智系统如何可能维持稳定、理性和内在的安宁?\n\n斯多葛主义(Stoicism)——一个源自古希腊和罗马的、历经数百年锤炼的思想体系——正是为系统性地回应这一“存在性脆弱”问题而构建的。它并非一套旨在提供短暂安慰的“积极思维”,而是一个严谨的、近乎苛刻的、基于逻辑的认知操作系统。其唯一目标是,通过重新校准个体对“控制”、“价值”和“现实”的根本定义,来锻造一种不受外部命运波动所侵扰的精神自由(即人类的繁荣或至善)。\n\n这里拆解斯多葛主义的三个核心运作原则,以阐明这一思想体系如何对人类的苦难进行“诊断”,并提供一个内在框架。\n\n🎯核心原则一:控制二分法\n☯️1. 概念阐述:斯多葛主义的逻辑起点是对人类所有经验进行绝对的、无条件的分类。这一原则(以爱比克泰德的论述最为著名)主张,世间万物被清晰地划分为两大类:第一类是“我们能完全控制的”,第二类是“我们无法完全控制的”。 “可控的”事物仅限于我们内在的心智活动:我们的判断、我们的意图(或意志)、我们的欲望和我们的厌恶。 “不可控的”事物则包括其他一切:我们的身体(健康或疾病)、我们的财产、我们的声誉、他人的行为、以及最终的死亡。 斯多葛主义的纪律要求个体将100%的认知资源和意志力,仅用于前者;并对后者培养一种理性的、不动声色的“接纳”。\n\n☯️2. 现实现象:一个极端的例证是詹姆斯·斯托克代尔(一位爱比克泰德的研究者)的经历。作为一名战俘,他在越南被关押了七年半,经历了长期的酷刑、单独监禁和完全的不确定性。在这种情境下,个体对外部世界(释放日期、身体待遇、生存环境)的控制权被剥夺至零。许多意志薄弱的战俘在这种情况下彻底崩溃,因为他们将“希望”定义为“明年圣诞节前被释放”或“停止酷刑”。\n\n☯️3. 解决方式:斯多葛主义分析指出,传统意义上的“希望”在此刻是有害的,因为它将精神的安宁锚定在一个“不可控”的外部事件上。斯托克代尔的幸存,依赖于“控制二分法”的严格应用。 他清醒地认识到,他无法控制“是否被释放”或“是否被折磨”,但他100%地控制着“他如何回应折磨”、“他是否出卖情报”以及“他是否保持内心的尊严”。 通过将“希望”的定义从“获得自由”(不可控)转移到“有尊严地承受监禁”(可控),他重新定义了“胜利”的战场。这一原则的内在逻辑是:它是一个防御性的认知防火墙。它通过主动放弃对“不可控领域”的无效投资(焦虑、恐惧、徒劳的希望),将个体的能动性完全集中在唯一真正属于他的领域——他自己的意志和判断。\n\n🎯核心原则 二:价值的中立性\n☯️1. 概念阐述:这是“控制二分法”的必然推论。如果一件事物是“不可控的”,那么根据斯多葛主义的逻辑,它在“道德”上必须是中立的。这意味着,所有“不可控”的事物——包括健康、财富、痛苦、声誉甚至死亡——本身既不是“善”,也不是“恶”。它们被统称为“无关紧要之物”(或称“中立物”)。 唯一的“善”是“美德”(即理性的、符合自然和正义的判断与行为);唯一的“恶”是“恶习”(即非理性的、错误的判断与行为)。 当然,斯多葛主义承认某些“中立物”是“可取的”(如健康、财富),而另一些是“不可取的”(如疾病、贫穷),但它们绝对不能被提升到“善”或“恶”的高度。\n\n☯️2. 现实现象:以“社会声誉”为例。在当代社会,个体常常因社交媒体上的负面评价、公开的批评职业污点而经历极端的心理痛苦,甚至导致“社会性死亡”的恐惧。个体的自我价值感与“他人的看法”(一种经典的“不可控”外部事物)被深度绑定。一个负面的匿名评论,足以摧毁一个人一天的安宁。\n\n☯️3. 解决方式:斯多葛主义对这种痛苦的“诊断”是,个体犯了一个致命的“范畴错误”。他错误地将“声誉”(一个“中立物”)当作了“善”本身。 这一原则的逻辑功能是“价值重估”。它系统性地剥离了外部事物上的“道德标签”。如果声誉是“中立的”,那么他人的赞美(可取的)和诋毁(不可取的)都不能增加或减少你作为理性个体的核心价值(即你的美德)。 这种价值体系的转换,其目的是“切断”外部事件与内部安宁之间的直接因果链。如果“坏名声”不是一种“恶”,那么对它的恐惧就是非理性的。这种逻辑操练旨在实现一种极端的心理独立:个体的价值感完全自给自足,仅由其“内在美德”来定义,从而对外部的赞誉或谴责“免疫”。\n\n🎯核心原则三:认知的首要性\n☯️1. 概念阐述:如果说前两个原则是“世界观”的设定,那么第三个原则就是“心理实践”的核心机制。斯多葛主义认为,使我们陷入混乱和痛苦的,不是“事件”本身,而是我们对这些事件的“判断”或“看法”。 一个外部事件(例如,引言中提到的“身份突变”)本身只是一个“中立”的事实。它之所以造成痛苦,是因为个体立即对其附加了一个判断,如:“这是一场灾难”、“我的人生失败了”、“我一文不值”。 斯多葛主义的核心训练,就是“同意的训练”——在“刺激”(外部事件)和“反应”(情绪痛苦)之间,强行插入一个“认知审查”的步骤。\n\n☯️2. 现实现象:以“突发性丧失”为例,例如亲人的骤然离世。这是人类经验中最深刻的痛苦之一。即时的、压倒性的心理作用是:“这是无法承受的”、“这是世界上最痛苦的时刻”、“我的生活彻底失去了希望”。这种印象会立即引发剧烈的悲痛。\n\n☯️3. 解决方式:斯多葛主义在此处展现了其最“临床”的一面。它不否认生理的痛苦或情感的冲击(这些被视为自然的、“不可取的”中立物)。但它严格地分析上述的“判断”。 它会系统性地质询这些判断:“死亡”是一个“不可控”的自然事件吗?是的。根据原则二,它是一种“恶”吗?不是(它是一个“中立物”,尽管是“不可取的”)。那么,“我的生活彻底失去了希望”这个判断是基于现实的吗?不是,它是一个基于“错误价值认定”的非理性“同意”。 这种内在逻辑的运作,不是为了“消除”悲伤,而是为了“拒绝”由非理性判断所导致的、具有毁灭性的“激情”。它旨在将情感反应限制在对其“不可取的中立物”的自然反应上,同时防止这种反应升级为对“自我”和“现实”的毁灭性哲学判决。这一原则是该系统的执行程序,旨在通过审查和修正“判断”,来保护心智的“指挥中心”免受非理性情绪的颠覆。\n\n斯多葛主义不是一套用于“感觉良好”的安慰性信条,而是一个旨在彻底“重塑”个体认知结构和价值体系的训练思想。它首先通过“控制二分法”划定意志的边界;接着通过“价值中立性”剥离外部事物的道德属性;最后通过“认知的首要性”提供一套实时的“判断审查”工具。\n\n这一思想体系的激进之处在于,它将人类所有的“苦难”最终归因于一种“认知错误”——即错把“不可控”的当作“可控”的,以及错把“中立的”当作“善或恶”的。因此,它所追求的“安宁”,并非来自外部世界的顺遂,而是来自内部逻辑的绝对一致和对现实的清醒认知。它是一个要求持续实践、高度自律、甚至反直觉的思想操作系统,其最终目的是在承认外部世界完全不可控的前提下,实现内在精神的绝对自主和安宁。\n#哲学 #心理学 #思维 #认知 #知识 #逻辑\n\n#斯多葛主义 #Stoicism #理性 #情绪管理 #思维模型 #人生哲学 #精神自由 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step-by-step),然后看着它奇迹般地解决那些原本棘手的复杂问题。从数学题到逻辑推理,这句简单的指令仿佛成了一句解锁模型潜能的“咒语”。\n\n但你是否想过,这句咒语为什么如此有效?大多数人可能会直觉地认为,这是给了模型更多的“思考时间”或计算空间来处理问题。然而,一篇名为《从稀疏依赖到稀疏注意力:揭示思维链如何提升Transformer的样本效率》的研究指出,真正的原因远比这更深刻,也更令人惊讶。\n\n本文将揭示这篇论文背后隐藏的四大关键洞见,改变你对思维链(Chain-of-Thought, CoT)的传统认知。\n\n🔥1. 核心优势并非更强大,而是学得快:指数级的样本效率提升\n思维链的首要魔力,并非增强模型的“表达能力”(expressiveness),而在于大幅提升其“学习效率”(sample efficiency)。这听起来可能有些反直觉,因为我们总觉得更强的能力来自于更强的模型结构。但论文的理论证明指出,即便是最简单的单层Transformer模型,也具备足够的表达能力来解决奇偶校验问题。问题在于,它们就是学不会如何去解。\n为了证明这一点,研究者们设计了一个精妙的实验:奇偶校验(Parity)问题。简单来说,就是从一长串二进制数中,找出几个预先设定的“秘密”数字,然后判断这些秘密数字的和是奇数还是偶数。这个问题本身结构简单,但对神经网络来说却是一个经典的难题。\n\n实验结果的对比是惊人的:\n 🎓• 没有CoT的情况: 当模型只能看到问题和最终答案时,实验结果与理论分析都表明,它需要指数级的训练样本才能学会。这意味着,随着问题难度(秘密数字的数量k)的增加,所需的训练数据量会呈爆炸式增长,很快变得不切实际。\n 🎓• 使用CoT的情况: 当研究者将解题步骤(例如,每次只累加一个秘密数字的中间结果)作为CoT提供给模型时,模型仅需近似线性的样本就能轻松学会。正如论文的实验和理论所揭示的,学习效率获得了指数级的提升。\n\n结论:CoT的真正价值在于极大地提升了样本效率。它像一位高效的导师,让模型能用极小的代价,学会那些原本需要海量数据才能掌握的困难任务。\n\n🔥2. 成功的秘诀:稀疏注意力机制\nCoT之所以能实现这种惊人的效率提升,关键在于它为数据引入了一种名为“稀疏的序列依赖关系”(sparse sequential dependence)的特性。当一个复杂问题被分解为CoT的简单步骤后,每一步的计算通常只需要依赖前面内容中的极少数关键信息。例如,在奇偶校验的CoT中,计算第三步的结果只需要第二步的结果和第三个秘密数字,而与其他所有信息无关。\n\n这种稀疏的依赖关系,恰好能够引导Transformer模型内部的注意力机制学会一种高效的工作模式——“稀疏注意力”(Sparse Attention)。模型不再需要漫无目的地关注所有输入,而是学会了将注意力高度集中在少数几个当前步骤最相关的部分上。\n\n论文通过实验清晰地展示了这一点:\n 🎓• 可解释的注意力图: 训练完成后,模型的注意力模式变得异常清晰。从论文实验可以看出,在CoT的每一步计算中,注意力都像激光一样,精确地聚焦到了当前步骤所需的那一个“秘密”数字上,而完全忽略了其他无关的输入。\n 🎓• 注意力熵与准确率的关系: 研究者使用“归一化注意力熵”来衡量注意力的稀疏程度(熵越低,注意力越集中)。他们发现,模型的注意力变得越稀疏,其解决问题的准确率就越高。实验数据明确显示,当注意力熵急剧下降时,模型的准确率会随之跃升至100%。\n\n结论:CoT就像一位导师,教会了模型如何“抓重点”。这种学会聚焦、避免在海量信息中迷失的能力——即稀疏注意力——正是其高效学习的核心机制。\n\n🔥3. 意外发现:没有CoT,模型也能自学稀疏性,但过程极其漫长\n\n如果稀疏注意力真的是关键,那么一个模型即使在没有CoT引导的情况下,也应该只有在它以某种方式自发学会这种稀疏性之后才能成功。研究者们设计了一个巧妙的实验来验证这一点。他们进行了“多轮训练”(Multi-pass Training):在不使用CoT的情况下,让模型在同一个小型数据集上反复、高强度地训练。\n\n结果令人震惊,并且有力地证实了这一假说。首先,经过足够长时间的“死磕”,模型最终竟然也学会了解决奇偶校验问题。通过观察模型内部的变化,研究者发现,成功的转折点同样在于其内部自发地发展出了稀疏的注意力模式。在训练初期,模型表现不佳,注意力熵很高;随后进入一个漫长的平台期,虽然损失函数没有明显下降,但其注意力熵却在持续悄然降低;一旦注意力变得足够稀疏,模型的准确率就会像顿悟一般突然飙升。\n\n而实验中最具颠覆性的发现来自于对不同数据集规模的比较:\n 🎓• 在5万个样本的小数据集上反复训练,模型最终成功了。\n 🎓• 然而,当研究者把数据集扩大到100万个样本时,模型反而失败了。训练损失和注意力熵始终居高不下。\n\n结论:这个反直觉的结果意义重大。它证明了“稀疏注意力”是解决这类问题的根本,而不仅仅是数据量的堆砌。CoT提供了一条高效的“捷径”,直接引导模型走向稀疏性。而没有CoT的“蛮力学习”则像是在黑暗中摸索,虽然可能最终也能跌跌撞撞地找到通往稀疏性的道路,但这个过程缓慢、低效且充满不确定性——甚至更多的数据反而可能成为一种干扰。\n\n🔥4. 从理论到现实:真实世界的大模型同样遵循此道\n以上所有发现,并不仅仅适用于奇偶校验这样的合成问题。研究者们进一步在真实世界的数学问题数据集GSM8K上验证了他们的理论,发现这一机制在真实的大模型上同样适用。\n 🎓• CoT数据诱导稀疏性: 实验结果表明,当一个预训练的通用大模型(如Qwen2-7B)处理带有CoT解题步骤的数学题数据时,其注意力熵显著低于处理没有CoT的“问题-答案对”数据。这证明了真实世界中的CoT数据同样具备引导模型形成稀疏注意力的结构。\n 🎓• CoT微调增强稀疏性: 研究者进一步比较了通用模型(Qwen2-7B)和在数学CoT数据上微调过的专业模型(Qwen2-Math-7B)。结果显示,经过CoT数据微调的数学模型,在处理相同问题时,其注意力模式变得更加稀疏。\n\n结论:CoT引导模型学习稀疏注意力的机制是普适的。无论是处理理论问题还是真实世界的复杂任务,这种机制都在发挥作用。模型不仅能在训练中学会这种高效的推理模式,而且专门针对CoT数据进行优化的模型,会更擅长运用这种能力。\n\n重新理解“思考”的本质\n现在,让我们回到最初的问题:为什么“一步一步地思考”这句咒语如此神奇?\n\n这篇研究给出了一个清晰而深刻的答案:CoT的魔力不在于赋予模型新的超能力,而在于通过引入稀疏的依赖关系,将一个难以学习的问题转化为一个容易学习的问题,从而极大地提升了模型的学习效率。其背后最核心的机制,就是引导模型形成了稀疏和可解释的注意力模式。\n当我们让模型“一步一步思考”时,我们不仅仅是在给它时间,更是在给它一个结构化的、稀疏的思考框架,帮助它学会如何聚焦,如何从复杂性中提炼出关键信息。\n\n这不禁让我们思考一个更深层次的问题:既然我们知道了“稀疏性”是解锁高效推理的关键,那么未来的研究是否能设计出一种全新的模型架构,让它无需依赖“一步一步”的外部提示,就能天生高效地学习和捕捉世界中的稀疏因果关系呢?这或许是通往更强大、更通用人工智能的下一条路径。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-27","value":2,"startTime":1761436800000,"endTime":1761523200000,"tweets":[{"bookmarked":false,"display_text_range":[0,144],"entities":{"hashtags":[{"indices":[878,884],"text":"提示词工程"},{"indices":[885,889],"text":"LLM"},{"indices":[890,895],"text":"AIGC"},{"indices":[896,902],"text":"大语言模型"},{"indices":[903,908],"text":"人工智能"},{"indices":[909,914],"text":"AI研究"},{"indices":[915,933],"text":"PromptEngineering"},{"indices":[934,946],"text":"LLMResearch"},{"indices":[947,952],"text":"AI理论"},{"indices":[953,958],"text":"机器学习"}],"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}]},"favorited":false,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1982308237241446694","view_count":107,"bookmark_count":0,"created_at":1761454087000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1982308237241446694","full_text":"揭开提示工程的神秘面纱\n\n我们在与大型语言模型(LLM)打交道时,“提示工程”常常给人一种近乎“魔法”的印象。\n\n在调教提示词时,我们在依赖直觉和反复试错,像炼金术士一样,通过不断调整措辞、增删词语,试图找到那句能让模型输出最佳结果的“咒语”。这个过程充满了不确定性,但其效果又出奇地好。\n\n这引出了一个深刻的谜题:为什么那些通过手动精心调整,甚至是自动化算法在训练数据上搜索出来的“完美”提示词,不仅在训练数据上表现出色,也往往能在全新的、模型从未见过的数据上表现优异?按照传统机器学习的经验,这种针对训练数据的“过度优化”很容易导致“过拟合”(即模型只是死记硬背了训练样本的答案,而失去了泛化到新问题的能力)。然而,提示工程似乎天然地对这种陷阱免疫,为什么呢?\n\n最新的研究表明提示工程远非简单的反复试错,其背后隐藏着深刻的计算机制和统计学规律。\n\n以下是5个研究结论:\n\n1. 提示词即程序,而非指令。输入提示词是在动态“配置”LLM,即时构建一个“虚拟神经网络”。你的措辞是在“编程”,直接定义网络架构和权重。\n\n2. 单个注意力头具备“万能逼近器”潜力。理论证明,一个注意力头配合精巧的前缀(prefix-tuning),即可模拟任意连续函数。关键是激发核心组件的内在计算力,而非仅依赖模型规模。\n\n3. 手调提示词的泛化保障:自然性。PAC-Bayes理论表明,提示词不易过拟合,因为受“自然语言”约束。一个有效的提示词必须是“自然的”(KL散度低),这限制了其为迎合训练数据而产生的复杂性。\n\n4. 长提示词(CoT)构建更深的“虚拟网络”。“思维链”有效,不只因提供了更多上下文。更长的提示词在功能上构建了更深、更复杂的虚拟计算网络,从而降低复杂任务的近似误差。\n\n5. 无关信息是“灾难”,而非“干扰”。提示词中的“噪声”词元会带来一个无法消除的误差下限。无论有效部分多长,模型性能都会被“卡”在低水平。保持高信噪比是前提,不是优化。\n\n提示词工程正从艺术转向科学。理解其“编程”和“函数逼近”的本质,是系统化设计“超级提示”的基础。\n\n#提示词工程 #LLM #AIGC #大语言模型 #人工智能 #AI研究 #PromptEngineering #LLMResearch #AI理论 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problem)。研究发现,即使是一个简单的单层Transformer,其模型结构也已经具备了表达奇偶校验函数解法的能力。然而,令人惊讶的是,如果没有思维链的引导,模型需要指数级数量的训练样本才能学会这个函数,这在实践中几乎是不可能的。\n相比之下,当为模型提供带有思维链的训练数据时(即包含计算过程的中间步骤),同一个Transformer模型仅需多项式级的样本就能学会。这是一个在样本效率上指数级的提升。正如一篇研究论文所指出的:\n“在不使用CoT时,大语言模型常常在一些简单任务上遇到困难——比如计算‘strawberry’这个单词里有多少个‘r’。考虑到模型尺寸越来越大,这类任务超出其表达能力的上限似乎是不太可能的。”\n这项研究进一步揭示,思维链通过在输入中引入稀疏的序列依赖关系,引导模型学习到稀疏且可解释的注意力模式,这使得模型能将注意力集中在下一步计算所需的少数关键信息上,而不是在庞杂的输入中迷失方向,从而极大地简化了学习过程。这说明,思维链的核心价值之一在于它让模型能更高效地从数据中学会推理,而不是赋予它一种原本不具备的能力。\n\n3. 分步推理使AI在面对信息不完美时更加稳健\n\n现实世界的数据充满了噪声、错误和不完整的信息。无论是人类标注的数据,还是网络上抓取的内容,都很难做到完美无瑕。这对依赖数据学习的AI模型构成了巨大挑战。\n研究表明,在这种不完美的环境下,思维链相比标准的上下文学习(In-Context Learning, ICL)展现出显著的优势。ICL严重依赖于示例的质量——如果示例中的答案是错误的,模型很可能会被误导。然而,思维链的分步过程允许模型超越单个答案的对错,去学习和提取其背后正确的推理过程。\n一项实验有力地证明了这一点:一个使用思维链数据训练的Transformer模型,即使在其30%的训练数据中,中间步骤存在损坏或缺失,最终的推理准确率依然非常高。这意味着,模型能够透过不完美的数据,“领悟”到解决问题的正确逻辑和方法。这种稳健性对于AI在真实世界中的应用至关重要,它使得模型能够从不完美但更接近现实的人类数据中,学习到可靠的推理能力。\n\n4. 从统计学上看,CoT几乎总是更优选择,但“坏思路”可能有害\n\n从统计学的角度看,思维链可以被理解为一种“贝叶斯模型平均”(Bayesian Model Averaging, BMA)。简单来说,模型会根据示例中提供的信息(包括问题、中间步骤和答案),推断出许多种可能的潜在“任务”或“概念”,然后将这些可能性进行加权平均,从而做出最终的预测。\n基于这个框架,理论分析得出了一个非常强有力的结论:在所有可能的任务和提示的平均情况下,提供中间步骤(CoT)的表现永远优于或等于只提供最终答案(标准ICL)。这是因为中间步骤提供了关于潜在任务的额外信息,减少了不确定性,从而帮助模型形成更准确的“后验信念”。\n然而,这里有一个至关重要的警告:这种优势是在平均意义上成立的。对于一个特定的任务,如果提供的中间步骤包含误导性或不相关的信息,反而可能会损害模型的性能。一个名为“CityEquation”的实验清晰地展示了这一点:任务是计算两个城市经度的和,如果在思维链中同时提供了相关的经度信息和不相关的城市人口信息,模型的表现会因为这些“坏思路”的干扰而下降。\n这个发现告诉我们,虽然鼓励AI“展示其工作过程”在统计上是一个稳妥的策略,但这个过程的质量和相关性至关重要。提供清晰、相关、高质量的推理步骤才能最大化思维链的优势。\n\n通过揭示思维链背后的机制,我们看到了AI推理能力提升的几个事实真相:它不只是一个提示技巧,而是一种根本性的计算模式转变;它极大地提高了模型的学习效率,而非仅仅增强其表达能力;它赋予了模型在不完美数据中学习的稳健性;并且它在统计上是一个更优的策略,尽管需要警惕“坏思路”的干扰。\n这些发现标志着我们对AI训练理念的转变——从仅仅教会模型答案“是什么”,到引导它们学习“如何”一步步地得到答案。这不仅仅是技术的进步,更引发了我们对AI能力提升的深刻思考。\n\n#思维链 #ChainOfThought #AI推理 #AIFuture #计算革命 \n#CoT #ReasoningAI #LLM #Transformer #人工智能 #AI革命 \n#AI思考 #AI研究 #AI学习效率 #推理能力 #可解释性AI \n#AI思维链 #AI创新 #AI理论 #AI趋势 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code,后端的模型换做其他,但是不知道效果会不会打折扣?","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":1,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1983562337614520416","view_count":2,"bookmark_count":0,"created_at":1761753088000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983562337614520416","full_text":"北大博士任教985高校三年:考核未过,背着百万房贷离开\n\n“措手不及!”今年元旦刚过,一纸“不再续聘”通知“传”到了36岁的程欣手中。月末就是春节,程欣本打算和妻儿过个好年,却被催促着务必尽快办完离职手续,清空办公室。\n在考核前,他曾多次询问院系相关领导,得到的答案是“无需担心”。因此,他并未着手寻找新的工作,谁知迎来的是冷水浇头。\n\n时间拉回2021年,程欣作为“优秀博士学位论文”的获得者,从北京大学毕业。当时,他一共拿到33个工作offer,最终选择入职了这所心仪的985高校。\n\n程欣经历了许多:入职不到一年,为了完成考核,他不得不放弃深耕10年的方向,转向更“热门”、便于发论文的课题。他曾因教学评价高而获得“教学优秀奖”,还带领本科生拿到“挑战杯”国家级一等奖,但这些对考核毫无助力。\n\n但过去的经历依然历历在目。程欣提出了一个深埋心中的疑问:学术,到底应该被当成一份功利化考量的工作,还是一份理想追求?\n\n以下是他的讲述:\n\n📚启程\n\n2021年夏天,我从北京大学博士毕业,是优秀博士学位论文的获得者。从硕士到博士,我都跟随同一位导师研究社会科学,围绕同一个主题深入做研究,发表了10余篇论文。\n\n我的导师是一位纯粹的研究型学者,整个师门的氛围是潜心学术的。我博士期间的目标就是毕业后成为大学老师,能够做自己感兴趣的研究,同时培养学生。\n\n毕业季,我投出200多封邮件,最后拿到了33个offer,其中包括某Top2大学马克思主义学院、北京一所师范大学的哲学系、承诺给编制的西部某“双一流”大学……\n\n最终,我下定决心入职这所985高校,原因是多方面的。首先是导师的建议和我理想主义的想法——当时,师门里还没有同学去往那座城市,我想做个开拓者;其次,引进我的老师很有人格魅力,我感觉遇到了“伯乐”;此外,虽然合同上写的考核时间只有三年,但我得到的口头承诺是“3+3”,即首聘三年后,若考核未完全达标,学校通常会续聘三年。我想,虽然我的方向偏冷门一点,但6年的时间可以去“拼一把”。\n\n刚入职时,想法是很明确的:教学和科研两条腿走路。那时学校还有一条“教学通道”——如果青年教师在论文发表和课题申请上稍有不足,通过教学依然可以评职称、留下来。\n\n在教学方面,我投入了巨大热情,在2023年拿到了“校教学优秀奖”,并带领本科生团队拿到“挑战杯”国家级一等奖,后者在学院是史无前例的。\n\n在科研方面,我做了一个有点痛苦的决定。入职不到一年,我意识到,坚持原有的冷门方向,意味着不可能达到考核要求。正好有一门热门主题课程的老师临近退休,由我接手。为了转换方向,我跟着本科生坐在教室里,认认真真听了那学期的每一堂课。\n\n我们系的氛围很好,领导、同事给了我许多支持和帮助。经人介绍,我结了婚,把所有存款拿来买了房子,并贷款100多万。我和爱人的收入加起来不高,一个人支撑房贷,一个人支撑生活用度,两个人过着普通的小日子。这样“安稳”的生活,已经让我心满意足。\n\n📚变故\n\n2023年,学校的一纸新政彻底堵死了“教学通道”。其规定,副高职称以下的青年教师,原则上不允许再承担课程教学。实际操作是,学校层面直接取消了我们这些不符合职称要求的青年教师授课排课资格。\n\n我并没有太放在心上,毕竟在校工作期间,我发表了多篇论文,手上还有两篇“已录用”的论文。并且2024年临近考核期时,我反复向院系领导确认,得到的回复是“不用担心,老人老办法,原来的3+3承诺依然生效”。在我之前的老师,有些超出了6年合同期的,还根据情况给他们续了一两年,以达到论文发表要求。因此,我天真地以为自己“没问题”,也没有着手去找新的工作。\n\n2024年12月30日,我做工作答辩。次日,学院发布了对我“不再续聘”的决定,这个通知并未送达我本人,只是发布在公告墙上。两天后,我通过他人得知:我失业了。\n\n失业的第一周,整个人都是崩溃的。我还是会习惯性地拿起书,或打开电脑,但又马上意识到,我没有工作了。当时临近春节,没什么找工作的窗口,我在家发呆了整整一个月,还不时收到“尽快办理离职手续、清空办公室”的催促。\n\n收入断了,孩子出生不久,我还面临还房贷、养家的压力。“醒”来之后,我赶紧抓住春季招聘的窗口。最让我难受的是:我失业时,年龄刚满36岁,有很多好机会却将年龄卡在35岁,我无法申请。\n\n与家人反复商量后,我选择了一所南方沿海城市的高校。这所学校的名气没那么大,但考核要求不高,且薪资是之前的两倍多,还为我们一家三口提供了公寓。\n\n妻子安慰我:“100多万的房贷可以慢慢还,就当没来过,好歹还成了个家。”如今,我们已经举家搬迁到新的城市,从头开始。\n\n📚反思\n\n回头再看,我不禁反思:为何在考核制度下,我成了被淘汰的“不合格产品”?\n\n我必须先替学院的领导、同事说句公道话——他们都是很好的人,无论是工作期间对我的支持,还是找新工作时对我的安慰和帮助。那么,我面临的痛苦究竟来源于哪里呢?\n\n首先,制度存在“不明确地带”且不断变化。我承认,2024年底接受考核时,自己确实没有达到考核要求,即“三年内拿到一个国家级课题(或引进经费至少20万),同时发表至少5篇符合学校要求的期刊论文”。\n\n然而,这些要求是2024年学校的内部文件下发的“新办法”,并未写进我的入职合同,入职时也有“教学通道”和“3+3”的承诺,考核操作是比较“柔和”的。\n\n实际上,一个普通青年教师仅凭“个人”努力,极难甚至绝无可能在三年内达到如此严苛的标准。我和身边的朋友日均工作12~18小时,但大多是“非升即走”的失败者。\n\n我观察发现,高校的人才引进制度已经非常“市场化”了,永远有更年轻、更“卷”的人拿到职称,考核要求水涨船高,没能跟上节奏的“老人”惨遭淘汰。竞争是无情的,许多学校集结大批青年研究人员,学校的排名和论文发表数量大幅提升,但这对青年教师的影响很不好。\n\n其次,论文的发表存在着大片“灰色地带”。作为大学老师,每个星期打开邮箱,都能收到一大堆“代发论文”的邮件,其中期刊的等级被明码标价。\n\n此外,作者的身份职级影响着论文发表。我亲身经历过,一篇论文在投稿时顺利通过审核,马上要发表了,编辑明确告诉我:“找一个正教授挂名,我们马上给你发表。”我当时想了很久,却没舍得,因为那篇论文是我花费很多心血的得意之作。\n\n我们会看到,一位知名学者一年论文的发表量,超过一整所大学。被指出后,这种现象依然没有收敛,反而愈演愈烈。\n\n无论是花钱“买”论文,还是找“大佬”带,都是普通青年教师难以承担的成本。\n\n📚平庸之恶\n\n除了我自己的亲身经历,我还想举三个身边朋友的案例。\n\n我的一位师弟,是大家心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"media":[{"display_url":"pic.x.com/WqskjWwwxp","expanded_url":"https://x.com/Georgeistrue/status/1983563770892112338/photo/1","id_str":"1983563747445919744","indices":[110,133],"media_key":"3_1983563747445919744","media_url_https":"https://pbs.twimg.com/media/G4cIuAvbUAACTwe.jpg","type":"photo","url":"https://t.co/WqskjWwwxp","ext_media_availability":{"status":"Available"},"features":{"large":{"faces"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心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[9,19],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"1164388321545449472","name":"卫斯理","screen_name":"imwsl90","indices":[0,8]}]},"favorited":false,"in_reply_to_screen_name":"imwsl90","lang":"zh","retweeted":false,"fact_check":null,"id":"1983467757141389805","view_count":1325,"bookmark_count":0,"created_at":1761730539000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983458922406236328","full_text":"@imwsl90 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se,"fact_check":null,"id":"1979226402886160397","view_count":118,"bookmark_count":1,"created_at":1760719321000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979226402886160397","full_text":"今天看了一篇文章,是关于“计算机之父”和“人工智能之父”——艾伦·图灵的。\n\n看完之后,我真切地感受到:在科技史最耀眼的光芒背后,藏着人类社会最深的阴影。\n图灵并非完美无瑕的天才。他口吃、内向、不擅交际,常常被同龄人视为怪人。而讽刺的是,正是这种“格格不入”,让他看清了机器与人类思维的边界,也让他在战争中用逻辑和算法击败了纳粹的“恩尼格玛”密码机,拯救了数百万人的生命。\n\n但也是这种“不谙世事”的真诚,害死了他。当他坦率承认自己与男性的恋情时,社会没有给予理解与尊重,反而用法律和化学药剂摧毁了他的身体与尊严。\n\n他用数学奠定了计算机的根基,却被非理性的偏见压垮。\n他为世界争取了未来,却没能在自己的时代被宽恕。\n\n也许,人类真正的考验,不在于能否让机器思考,而在于能否学会以更高的智慧去理解“人”。\n\n🎭艾伦·图灵:编码天空的孤独奔跑者\n艾伦·图灵的一生,像一台他自己构想的通用机器,被输入了两个截然相反的程序。一个程序由纯粹的逻辑、数字和宇宙秩序构成,驱动他奔向人类智识的巅峰,奠定了我们今天整个数字时代的地基;另一个程序则由社会的偏见、法律的冷酷和人性的脆弱写就,将他拖入个人悲剧的深渊,最终在一只浸毒的苹果旁戛然而止。他是一位用思想重塑20世纪的先知,却被他誓死保卫的世界无情地放逐。要理解图灵,我们不仅要追溯他的天才轨迹,更要凝视那个时代投射在他身上的、巨大而扭曲的阴影。\n\n✍️孤独的奔跑者\n艾伦·马西森·图灵于1912年诞生于一个往返于英帝国与印度的家庭,这种疏离的成长环境似乎从一开始就预示了他一生的孤独。他的童年是在陌生的寄宿家庭和冰冷的公学制度中度过的,在那里,他对科学——尤其是化学和数学——近乎本能的热爱,被视为对古典教育的公然挑衅。老师们在评语中抱怨他“无可救药地偏科”,希望他成为一个“受过教育的人,而非仅仅是一个科学家”。然而,图灵的思维早已在另一个维度上奔跑。当同龄人还在背诵拉丁文时,他已经独立领悟了爱因斯坦的相对论,并能从更基础的牛顿定律中推导出对其的质疑。\n\n他的世界是抽象符号和自然规律构成的内在宇宙,现实世界的人际交往则让他显得笨拙、害羞,甚至有些口吃。他是一个长跑爱好者,时常独自一人在乡间小径上奔跑数十公里。这不仅仅是锻炼,更像一种仪式——在肉体的极限疲惫中,他的大脑得以进入最纯粹、最高效的思考状态。奔跑时,世界简化为呼吸的节奏、肌肉的酸痛和脑海中不断旋转的逻辑链条,这正是他所熟悉和热爱的状态。\n\n在这片孤独的智识荒原上,出现过唯一的光源——克里斯托弗·莫尔科姆。他是图灵在舍伯恩公学唯一的知己,一个同样对科学充满热情的少年。他们之间的情感,超越了简单的友谊,是一种深刻的智识共鸣与灵魂契合。他们一同探讨哥德尔不完备定理,争论量子力学的奥秘,梦想着未来在剑桥携手并进。克里斯托弗是图灵与这个格格不入的世界之间唯一的桥梁。然而,1930年,这座桥梁轰然断裂。克里斯托弗因牛结核病猝然离世。\n\n挚友的死亡,成为图灵人生的第一个巨大创伤,也催生了他哲学思考的第一个核心命题。他反复写信给克里斯托弗的母亲,试图用科学的语言去理解那个不可逾越的边界:意识是什么?精神能否独立于肉体而存在?一个人的思维,是否可以被某种机制(Mechanism)所复制和保存?这个问题,如同一个幽灵,贯穿了他此后的全部研究。他不再仅仅满足于解开数学谜题,他要探寻思维本身的奥秘。那个孤独的奔跑者,从此有了一个终极的追问目标——他要用逻辑和机器,去追赶一个逝去挚友的灵魂。\n\n✍️逻辑的宇宙\n克里斯托弗的离去,将图灵彻底推向了纯粹的理论世界。1931年,他进入剑桥大学国王学院,这里自由的学术氛围终于让他如鱼得水。正是在剑桥的草坪与回廊间,图灵完成了他一生中最重要的理论奠基。\n\n20世纪初的数学界,被一个幽灵般的问题所困扰,即大卫·希尔伯特提出的“判定问题”(Entscheidungsproblem):是否存在一个确定的、可机械执行的程序,能够在有限时间内判断任何一个给定的数学命题的真伪?这实际上是在问:数学的边界在哪里?是否存在一个“万能算法”?\n\n年仅24岁的图灵,以一种惊世骇俗的方式回答了这个问题。他没有直接进行数学推演,而是构想出了一台结构异常简单的抽象机器——后世称之为“图灵机”(Turing Machine)。这台机器拥有一条无限长的纸带、一个读写头和一套有限的指令规则。读写头可以在纸带上左右移动、读取符号、擦写符号。图灵证明,任何人类能想到的、符合逻辑的计算过程,无论多么复杂,都可以被这台简单的机器所模拟。\n\n“图灵机”的意义是颠覆性的。首先,他通过证明不存在一台可以判断所有程序是否会停机的“图灵机”,从而举重若轻地宣告了“判定问题”的最终答案:不存在这样的万能算法。数学中存在着机器永远无法判定的“不可计算”领域。其次,也是更重要的,他为“计算”这个模糊的概念提供了一个精确、严格的数学定义。在此之前,人们认为计算是人类心智的活动;在此之后,计算被定义为一种可以被机器执行的符号操作过程。\n\n这篇名为《论可计算数及其在判定问题上的应用》的论文,无意中为整个信息时代画好了蓝图。它是一份关于通用计算机的理论出生证明。图灵向世界宣告,不需要为不同的任务设计不同的机器,一台设计合理的“通用图灵机”就可以通过加载不同的程序(写在纸带上的指令)来模拟任何其他机器,完成任何可计算的任务。从你的笔记本电脑到智能手机,其最底层的逻辑灵魂,都是这台在1936年诞生于一位年轻人脑海中的抽象机器。图灵用纯粹的逻辑,构建了一个全新的、平坦而广阔的计算宇宙。\n\n✍️谜中人\n理论的光辉很快被战争的阴霾所笼罩。第二次世界大战爆发后,图灵被秘密招募至英国的密码破译中心——布莱切利园。在这里,他不再是象牙塔中的理论家,而是一位与时间赛跑、与纳粹德国争夺海上生命线的解码战士。\n\n德国海军使用的“恩尼格玛”(Enigma)密码机,被认为是当时最坚不可摧的加密系统。它每天变更的密钥组合数量高达天文数字,依靠人力计算根本无法破解。布莱切利园汇集了英国最顶尖的语言学家、数学家和逻辑学家,但面对恩尼格玛的铜墙铁壁,最初的进展极其缓慢。\n\n正是在这里,图灵展现了他将抽象理论转化为强大物理工具的惊人能力。他意识到,对抗机器的,必须是更快的机器。基于波兰同行奠定的基础,图灵主导设计了一种巨型机电装置——“炸弹机”(Bombe)。这台机器并非一台通用计算机,而是一种专门的、高速的逻辑搜索引擎。它能模拟数台恩尼格玛机同时运转,通过对截获的德军密文进行高速逻辑排除,在数小时内找出当日的密钥。\n\n在布莱切利园,图灵是一个古怪而核心的存在。他会因为花粉过敏而在夏天戴着防毒面具骑车上班;他会用链条把自己的马克杯锁在暖气片上以防丢失。他缺乏社交技巧,不善言辞,却以不容置疑的智力权威领导着第8小屋(Hut 8)——负责破解德国海军密码的核心部门。他与同事琼·克拉克(Joan Clarke)——一位同样才华横溢的女数学家——之间曾有过短暂的婚约。他向她坦陈了自己的同性恋身份,克拉克表示并不介意,但图灵最终还是认为,这段婚姻对双方而言都将是一个谎言,从而解除了婚约。\n\n图灵和他的团队所取得的胜利是决定性的。历史学家普遍认为,布莱che园的工作,特别是对U型潜艇使用的“鲨鱼”密码的破解,将战争的进程缩短了至少两年,拯救了数以百万计的生命。然而,这一切都发生在绝对的机密之中。战争结束时,图灵无法向任何人言说他的功绩。他是一位匿名的英雄,一个藏在“恩尼格玛”这个巨大谜题背后的谜中人。他帮助世界赢得了胜利,却必须将自己最辉煌的成就,连同他真实的自我,一同锁进沉默的保险箱。\n\n✍️胜利的阴影\n战争的胜利本应是图灵事业的又一个起点。他怀揣着制造一台“电子大脑”——即真正的通用计算机——的雄心,先后加入了国家物理实验室(NPL)和曼彻斯特大学。他详细设计了“自动计算机”(ACE)的方案,其架构远比当时美国的设计更为先进和完整。然而,和平时期的官僚主义和工程实现的缓慢,让他感到窒息。他是一个习惯于思想奔跑的人,却被现实的泥潭拖住了脚步。他的方案被拖延、修改,最终的成果与他最初的设想相去甚远。\n\n与此同时,一种更深的阴影正悄然笼罩他的个人生活。在战后保守的英国,同性恋不仅是道德禁忌,更是刑事犯罪。随着冷战的开启,同性恋者还被视为容易被敌方敲诈勒索的安全隐患。图灵在布莱切利园的涉密背景,使他的个人生活受到了更严密的审视。\n\n他一面在曼彻斯特大学参与“曼彻斯特一号”计算机的早期软件工作,一面提出了后来闻名于世的“图灵测试”,用一个关于“模仿游戏”的思想实验,为“机器能否思考”这一人工智能的终极问题设定了第一个可操作的判断标准。他甚至开始将目光从计算转向生命的奥秘,研究起生物形态发生学,试图用数学方程解释动植物身上斑纹的形成规律,比如豹子为何是斑点而斑马为何是条纹。他正处在另一场科学革命的边缘。\n\n然而,社会留给他的时间已经不多了。胜利的荣光未能照亮他生活的角落,反而让他因为昔日的秘密身份而变得更加危险。那个曾经拯救了国家的人,正在被这个国家步步紧逼,推向悬崖。\n\n✍️被咬了一口的苹果\n悲剧在1952年降临。图灵家中失窃,他向警方报案。在警方的盘问下,不谙世事的他承认了自己与一位19岁青年阿诺德·默里的同性恋关系。盗窃案迅速被搁置,取而代之的是对图灵“严重猥亵”罪的起诉。\n\n在法庭上,图灵没有为自己辩护,他真诚地认为,两个成年人之间自愿的私密行为,不应受到法律的干涉。这种超越时代的坦诚,在当时的法官看来无异于自证其罪。他被判有罪,并面临两个选择:入狱服刑,或者接受“化学阉割”——通过注射雌性激素来“治疗”他的性欲。为了继续他的研究,图灵选择了后者。\n\n这种“治疗”对他而言是毁灭性的。激素注射带来了严重的生理和心理副作用,他身体发胖,精神萎靡,更重要的是,他感到一种深刻的屈辱。那个曾用大脑对抗一个帝国的人,如今连自己的身体都无法掌控。他的安全许可被吊销,被禁止进入曾经奋战过的布莱切利园,甚至在出国旅行时也受到监视。他被曾经服务过的国家,当作一个潜在的叛徒和道德上的病人。\n\n1954年6月7日,图灵被他的女管家发现死在自己的床上,年仅41岁。床头柜上,放着一个被咬了一口的苹果。法医的鉴定结果是氰化物中毒,死因被判定为自杀。那个苹果,似乎是他对自己童年最喜欢的童话《白雪公主》的最后模仿。\n\n然而,关于他的死,至今仍有疑点。他的母亲坚决不相信儿子会自杀,认为这是一场实验意外。图灵的家中本就有一个用氰化物进行电解实验的小实验室。那个苹果是否真的浸毒,或者他是否真的吃了那个苹果,都缺乏决定性的证据。但无论真相是自杀还是意外,一个不争的事实是:一个伟大的头脑,在一个充满偏见和敌意的社会里,被逼到了生命的绝境。那个被咬了一口的苹果,成为了一个永恒的符号,象征着知识的代价、禁忌的诱惑,以及一个天才被时代毒害的悲剧。\n\n✍️数字幽灵的复活\n图灵死后,他的名字在很长一段时间里归于沉寂。由于官方的保密协议,他在战争中的巨大贡献不为世人所知。在计算机科学领域,他的开创性理论也被后来的硬件发展所掩盖。他似乎只是一个名字古怪的数学家,最终因一桩不光彩的丑闻而结束了生命。\n\n然而,思想的种子一旦种下,终将冲破时间的冻土。随着计算机革命的深入和人工智能的兴起,人们越来越频繁地回溯到那个源头。他们震惊地发现,今天数字世界里几乎所有最深刻的概念——算法、通用计算、人工智能——都可以在图灵几十年前的论文中找到清晰的印记。他的“图灵机”成为衡量一切计算能力的理论标尺,“图灵测试”至今仍是人机界限的试金石。\n\n当布莱切利园的档案在70年代解密后,世界更是为之震动。一个被遗忘的战争英雄形象浮出水面。人们终于意识到,那个被当作罪犯处理的人,恰恰是拯救了西方文明的关键人物之一。\n\n迟到的正义,以一种国家级的忏悔形式到来。2009年,时任英国首相戈登·布朗代表政府,为当年对图灵的“骇人听闻的对待”正式道歉。2013年,英国女王伊丽莎白二世颁发皇家赦免令,宣布他的罪名无效。2021年,艾伦·图灵的头像被印在全新的50英镑纸币上,与他设计的“炸弹机”图纸和那句名言并列:“这不过是将来之事的前奏,也是将来之事的影子。”\n\n图灵的灵魂,在他死后半个多世纪,以一种王者归来的姿态,完成了对那个放逐他的世界的“复仇”。他不再是一个悲剧性的人物,而成为一个象征——象征着科学理性的力量,象征着对偏见的抗争,象征着一个超越了自己时代的头脑,最终被未来所拥抱。他的一生,始于孤独的奔跑,如今,全世界都在追随他的步伐,跑向一个由他最先用逻辑编码出的未来。\n\n#艾伦图灵 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“$\\theta$-$\\tau$ 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 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Fermi)。1945年,杨振宁踏入芝加哥大学,师从这位“什么都会的教皇”。费米是与杨武之截然相反的存在。他鄙视繁复的数学推导,崇尚物理直觉和“量级估算”。他要求学生必须同时精通理论与实验。这对杨振宁而言是一种“折磨”。他笨拙地操作着实验仪器,制造的“爆炸声”远多于有效数据。费米最终对他说:“杨,你还是回到理论中去吧,你不是搞实验的料。”这次“失败”,却是一次深刻的定位。杨振宁意识到,自己永远是那个更接近父亲的“数学家”。他无法成为费米那样的全才,但他可以把自己对数学秩序的迷恋,推向物理学的极致。他注定要成为一个“柏拉图主义者”,相信宇宙的终极蓝图必然是数学上完美无瑕的。这种信仰,引领他走向了“杨-米尔斯”,也让他日后在面对一个“丑陋”的发现时,备感挣扎。\n\n🎯规范场论与宇称不守恒——“美”与“丑”的对决\n\n1954年,在普林斯顿高等研究院,杨振宁与米尔斯(Robert Mills)合作,写下了他一生中最伟大的诗篇——“杨-米尔斯规范场论”。这篇论文的核心,是一种被称为“非阿贝尔规范对称性”的精妙数学结构。它试图将爱因斯坦描述引力的几何思想,推广到其他基本力。这是一个如此优美、如此和谐的理论框架,以至于杨振宁晚年回忆时仍说:“那是一种‘此曲只应天上有’的感觉。”然而,这个“美”的理论,在当时却有一个“丑陋”的缺陷:它预言的粒子(规范玻色子)必须是零质量的,这与实验观测严重不符。物理学界对此不屑一顾。但杨振宁坚信,这种数学上的“美”不可能是一个错误,一定是现实世界以某种方式“隐藏”了它。他将这个理论束之高阁,等待了近二十年,直到“希格斯机制”的出现,才让它复活,并最终成为统治基本粒子世界的“标准模型”的语言。与这种对“美”的漫长坚守形成鲜明对比的,是两年后那次“丑陋”的革命。1956年,面对“theta-tau 粒子之谜”,杨振宁和李政道开始怀疑一个神圣不可侵犯的信条:宇称守恒(即宇宙在镜像中是对称的)。杨振宁的内心是抗拒的。他觉得,如果宇称不守恒,那这个世界将是何等“不对称”、何等“丑陋”。这违背了他从父亲那里继承来的美学品味。但这一次,是李政道更强烈的物理直觉,或者说“费米式”的 pragmatic(实用主义)精神占据了上风。他们最终共同提出,在弱相互作用中,宇称可能不守恒。当吴健雄的实验结果传来,证实了这一点时,杨振宁回忆,他的第一感觉不是兴奋,而是“震惊和不舒服”。这是杨振宁内在的第一次巨大冲突:他那“柏拉图式”的灵魂,被迫接受了一个“赫拉克利特式”的、混乱而不完美的事实。他亲手证明了,宇宙在某种意义上,并不像他希望的那般优美对称。\n\n🎯第三章:破碎的镜像——与李政道的黄金时代与决裂\n\n如果说宇称不守恒是物理世界的对称性破缺,那么“杨李之争”,则是人类情感世界中最令人扼腕的一次对称性破缺。从西南联大的昆明茶馆,到芝加哥的博士生涯,再到普林斯顿的巅峰合作,杨振宁与李政道,曾是物理学界最耀眼的“双子星”。他们的才华互补,杨振宁更擅长宏观的数学建构,李政道则更敏锐于抓住问题的物理核心。他们是挚友,是战友,是彼此的“镜像”。1957年的斯德哥尔摩,是他们友谊的顶点。然而,这张著名的诺奖照片,也成了他们分道扬镳的序曲。关于决裂的原因,众说纷纭。是诺奖论文署名的先后,是对贡献大小的认知分歧,还是两人性格中根深蒂固的骄傲与互不相让?我们已无法复原历史的全部细节。但其核心,是“合作”这种最亲密的科学关系,被“荣誉”和“历史定位”这个人性中最敏感的议题所撕裂。1962年,两人正式决裂。物理学界失去了一对本可以继续创造奇迹的组合。而杨振宁,也失去了一位可以平等对话的知己。这场破裂的痛苦,贯穿了他的后半生。他曾说,这比他人生中任何其他事情都更让他感到不幸。他穷尽一生研究宇宙的对称性,却最终无法修复自己人生中这道最深刻的不对称裂痕。这或许是他作为“人”,而非“神”的明证。\n\n🎯异乡人与归侨——在两个国家间寻找平衡\n\n杨振宁的身份认同,是他人生中另一场持久的拉锯战。1964年,他做出了一个在当时被视为“大逆不道”的决定:加入美国国籍。消息传回国内,他的父亲杨武之至死都未能原谅他。在那个冷战对峙的年代,这被解读为对祖国的背叛。但对42岁的杨振宁而言,这更像是一个务实的选择。他需要一个稳定的环境,需要自由的学术交流,需要一张能带他去世界各地讲学的护照。他是科学家,科学的归属优先于国家的归属。他选择成为一个“世界公民”,一个在美国主流社会为华人科学家群体争取地位的“异乡人”。然而,他血脉中的文化基因从未改变。1971年,当中美关系刚刚破冰,他便迫不及待地踏上了回国之旅。他成为中美之间科学交流的“首席信使”,他利用自己的巨大声望,为中国基础科学的重建奔走呼号,推动了“文革”后第一批中国学生赴美留学。他在两种体制、两种文化之间,试图扮演一座桥梁。但在很长一段时间里,他在两边都未被完全接纳。在美国,他始终是华裔;在中国,他又是“美籍华人”。这种“中间人”的身份张力,直到他生命的暮年才得以最终调和。2003年,他定居清华园;2017年,95岁的他放弃美国国籍,恢复中国国籍。这是一次跨越了半个多世纪的“回归”。那个在合肥庭院里背诵《孟子》的少年,在环游了整个物理世界和现实世界后,最终选择回到他文化上的原点。他用一生,画出了一个完整的圆。\n\n🎯最后的“不对称”——理性的终点与情感的自由\n\n2004年,杨振宁再次将自己抛入舆论的风暴眼。在第一任妻子杜致礼去世后,82岁的他,宣布与28岁的翁帆结婚。如果说他之前的选择——无论是物理上的、还是政治上的——尚在“理性”的理解范畴之内,那么这一次,他彻底地挑战了世俗的逻辑。社会用最刻薄的语言来揣测这场婚姻。人们无法理解,一个穷尽毕生探索宇宙终极秩序的、最理性的大脑,为何会做出如此“非理性”的个人选择。但或许,这恰恰是杨振宁的“终极对称”。他一生都在反抗被强加的“规范”。年轻时,他反抗“宇称守恒”的物理教条;年老时,他反抗“长幼有序”的社会教条。在他看来,无论是宇宙法则还是社会偏见,只要它们不再反映“真实”,就应该被质疑、被挑战。在经历了科学的顶峰、友谊的破裂、时代的巨变之后,这个82岁的老人,选择了他晚年最真实的情感需求。他不再需要向世界证明任何事,他只需要向自己的生命负责。翁帆的出现,用杨振宁自己的话说,是“上帝赐予我的最后一件礼物”。这是他人生中最后一次,也是最勇敢的一次“不对称”选择。他用行动宣告,一个伟大的灵魂,有权在完成了对宇宙的宏大使命之后,回归到一个普通人的、最基本的情感自由。\n\n🎯统一场\n\n杨振宁的一生,是“秩序”与“混沌”交织的一生。他像一个最虔诚的数学家,试图为宇宙建立一个完美对称的“统一场”;但命运,却一次次用“破缺”来考验他——理论的破缺、友谊的破缺、身份的破缺、乃至世俗规范的破缺。他没有被这些“破缺”摧毁。相反,他包容了它们。他证明了,“美”的理论(杨-米尔斯)可以暂时在“丑”的现实(零质量问题)中潜伏;而“丑”的发现(宇称不守恒)也可以是通向更深刻真理的阶梯。他的人生,最终也实现了“统一”。那个在科学中追求极致理性的“杨先生”,和那个在生活中拥抱感性自由的“杨振宁”,在这位百岁老人的身上,不再是矛盾的两个镜像,而是同一个灵魂的、两种互补的对称。\n\n#杨振宁 #翁帆 #诺贝尔奖 #物理学 #李政道 #西南联大 #人物传记 #杨米尔斯规范场论 #科学 #传奇人生","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,32],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1979559653236441157","view_count":56,"bookmark_count":0,"created_at":1760798774000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979559653236441157","full_text":"什么是风险?风险就是在你觉得已经考虑周全的时候,被你遗漏的东西。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[7,25],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3178231","name":"宝玉","screen_name":"dotey","indices":[0,6]}]},"favorited":false,"in_reply_to_screen_name":"dotey","lang":"zh","retweeted":false,"fact_check":null,"id":"1979397787453395335","view_count":136,"bookmark_count":0,"created_at":1760760182000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979347434586402977","full_text":"@dotey 我擦,控制不好,一刀下去,耳朵👂没了","in_reply_to_user_id_str":"3178231","in_reply_to_status_id_str":"1979347434586402977","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[10,91],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"44196397","name":"Elon Musk","screen_name":"elonmusk","indices":[0,9]}]},"favorited":false,"in_reply_to_screen_name":"elonmusk","lang":"en","retweeted":false,"fact_check":null,"id":"1979483972192309357","view_count":54,"bookmark_count":0,"created_at":1760780730000,"favorite_count":7,"quote_count":0,"reply_count":0,"retweet_count":1,"user_id_str":"871838994002321410","conversation_id_str":"1979431839824777673","full_text":"@elonmusk I suppose if it can help me \"grok\" why I can never get out of bed in the morning.","in_reply_to_user_id_str":"44196397","in_reply_to_status_id_str":"1979431839824777673","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,42],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"3122661542","name":"Yangyi","screen_name":"Yangyixxxx","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"Yangyixxxx","lang":"zh","retweeted":false,"fact_check":null,"id":"1979510334013775937","view_count":232,"bookmark_count":0,"created_at":1760787015000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979496155571732763","full_text":"@Yangyixxxx 谷歌账号为啥还要囤?随时注册随时有吧?难道后面会限制注册吗?","in_reply_to_user_id_str":"3122661542","in_reply_to_status_id_str":"1979496155571732763","is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[12,72],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"885086674828578816","name":"Mr Panda","screen_name":"PandaTalk8","indices":[0,11]}]},"favorited":false,"in_reply_to_screen_name":"PandaTalk8","lang":"zh","retweeted":false,"fact_check":null,"id":"1979551640287089135","view_count":623,"bookmark_count":1,"created_at":1760796863000,"favorite_count":3,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979427457158779383","full_text":"@PandaTalk8 是的,这也是我喜欢用cursor的原因,可以设置,把每一步做的修改展示出来,手动确认,虽然效率低点,但是进步也是飞快的。","in_reply_to_user_id_str":"885086674828578816","in_reply_to_status_id_str":"1979427457158779383","is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-20","value":3437,"startTime":1760832000000,"endTime":1760918400000,"tweets":[{"bookmarked":false,"display_text_range":[0,82],"entities":{"hashtags":[{"indices":[3292,3295],"text":"哲学"},{"indices":[3296,3300],"text":"心理学"},{"indices":[3301,3304],"text":"思维"},{"indices":[3305,3308],"text":"认知"},{"indices":[3309,3312],"text":"知识"},{"indices":[3313,3316],"text":"逻辑"},{"indices":[3318,3324],"text":"斯多葛主义"},{"indices":[3325,3334],"text":"Stoicism"},{"indices":[3335,3338],"text":"理性"},{"indices":[3339,3344],"text":"情绪管理"},{"indices":[3345,3350],"text":"思维模型"},{"indices":[3351,3356],"text":"人生哲学"},{"indices":[3357,3362],"text":"精神自由"},{"indices":[3363,3367],"text":"控制力"}],"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/QrAuVa9oHX","expanded_url":"https://x.com/Georgeistrue/status/1979903286498209903/photo/1","id_str":"1979903259650195456","indices":[83,106],"media_key":"3_1979903259650195456","media_url_https":"https://pbs.twimg.com/media/G3oHhlEWgAACmqI.jpg","type":"photo","url":"https://t.co/QrAuVa9oHX","ext_media_availability":{"status":"Available"},"features":{"large":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"medium":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"small":{"faces":[{"x":39,"y":55,"h":129,"w":129}]},"orig":{"faces":[{"x":39,"y":55,"h":129,"w":129}]}},"sizes":{"large":{"h":360,"w":640,"resize":"fit"},"medium":{"h":360,"w":640,"resize":"fit"},"small":{"h":360,"w":640,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":360,"width":640,"focus_rects":[{"x":0,"y":0,"w":640,"h":358},{"x":0,"y":0,"w":360,"h":360},{"x":0,"y":0,"w":316,"h":360},{"x":22,"y":0,"w":180,"h":360},{"x":0,"y":0,"w":640,"h":360}]},"media_results":{"result":{"media_key":"3_1979903259650195456"}}}]},"favorited":true,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1979903286498209903","view_count":96,"bookmark_count":1,"created_at":1760880702000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1979903286498209903","full_text":"最近几天中国军方发生的新闻,想必大家都看到了,被处罚的当事人肯定会发生剧烈的心理波动。\n\n不仅仅是新闻中的当事人,甚至我们自己的遇到各种变动时,心理上也会产生波动。\n\n今天不谈新闻的本身,只聊一个西方的哲学理念“斯多葛主义”,即,如何在“个体意志”与“外部现实”之间发生剧烈冲突时,采用有效的方式缓解这种心理波动。\n\n🍯题设是这样的:\n一位在职业生涯中投入了数十年心血的人,因一次不可预测的市场动荡或内部权力重组,突然发现自己被边缘化或彻底清退。他所构建的身份认同、社会地位和经济保障似乎在一夜之间崩塌。\n\n这种经历带来的冲击,不仅仅是身份和地位的丧失,更是一种深刻的“存在性眩晕”。个体被迫直面一个事实:他所依赖的、用以定义自我价值的一切(认可、成功、财富、他人的看法),其本质是脆弱的、不可预测的,并且完全处在外部力量的掌控之下。\n\n这种“个体意志”与“外部现实”之间的剧烈冲突,揭示了一个贯穿人类经验的根本性抽象问题:当个体追求的东西完全依赖于外部环境的恩赐时,人类的心智系统如何可能维持稳定、理性和内在的安宁?\n\n斯多葛主义(Stoicism)——一个源自古希腊和罗马的、历经数百年锤炼的思想体系——正是为系统性地回应这一“存在性脆弱”问题而构建的。它并非一套旨在提供短暂安慰的“积极思维”,而是一个严谨的、近乎苛刻的、基于逻辑的认知操作系统。其唯一目标是,通过重新校准个体对“控制”、“价值”和“现实”的根本定义,来锻造一种不受外部命运波动所侵扰的精神自由(即人类的繁荣或至善)。\n\n这里拆解斯多葛主义的三个核心运作原则,以阐明这一思想体系如何对人类的苦难进行“诊断”,并提供一个内在框架。\n\n🎯核心原则一:控制二分法\n☯️1. 概念阐述:斯多葛主义的逻辑起点是对人类所有经验进行绝对的、无条件的分类。这一原则(以爱比克泰德的论述最为著名)主张,世间万物被清晰地划分为两大类:第一类是“我们能完全控制的”,第二类是“我们无法完全控制的”。 “可控的”事物仅限于我们内在的心智活动:我们的判断、我们的意图(或意志)、我们的欲望和我们的厌恶。 “不可控的”事物则包括其他一切:我们的身体(健康或疾病)、我们的财产、我们的声誉、他人的行为、以及最终的死亡。 斯多葛主义的纪律要求个体将100%的认知资源和意志力,仅用于前者;并对后者培养一种理性的、不动声色的“接纳”。\n\n☯️2. 现实现象:一个极端的例证是詹姆斯·斯托克代尔(一位爱比克泰德的研究者)的经历。作为一名战俘,他在越南被关押了七年半,经历了长期的酷刑、单独监禁和完全的不确定性。在这种情境下,个体对外部世界(释放日期、身体待遇、生存环境)的控制权被剥夺至零。许多意志薄弱的战俘在这种情况下彻底崩溃,因为他们将“希望”定义为“明年圣诞节前被释放”或“停止酷刑”。\n\n☯️3. 解决方式:斯多葛主义分析指出,传统意义上的“希望”在此刻是有害的,因为它将精神的安宁锚定在一个“不可控”的外部事件上。斯托克代尔的幸存,依赖于“控制二分法”的严格应用。 他清醒地认识到,他无法控制“是否被释放”或“是否被折磨”,但他100%地控制着“他如何回应折磨”、“他是否出卖情报”以及“他是否保持内心的尊严”。 通过将“希望”的定义从“获得自由”(不可控)转移到“有尊严地承受监禁”(可控),他重新定义了“胜利”的战场。这一原则的内在逻辑是:它是一个防御性的认知防火墙。它通过主动放弃对“不可控领域”的无效投资(焦虑、恐惧、徒劳的希望),将个体的能动性完全集中在唯一真正属于他的领域——他自己的意志和判断。\n\n🎯核心原则 二:价值的中立性\n☯️1. 概念阐述:这是“控制二分法”的必然推论。如果一件事物是“不可控的”,那么根据斯多葛主义的逻辑,它在“道德”上必须是中立的。这意味着,所有“不可控”的事物——包括健康、财富、痛苦、声誉甚至死亡——本身既不是“善”,也不是“恶”。它们被统称为“无关紧要之物”(或称“中立物”)。 唯一的“善”是“美德”(即理性的、符合自然和正义的判断与行为);唯一的“恶”是“恶习”(即非理性的、错误的判断与行为)。 当然,斯多葛主义承认某些“中立物”是“可取的”(如健康、财富),而另一些是“不可取的”(如疾病、贫穷),但它们绝对不能被提升到“善”或“恶”的高度。\n\n☯️2. 现实现象:以“社会声誉”为例。在当代社会,个体常常因社交媒体上的负面评价、公开的批评职业污点而经历极端的心理痛苦,甚至导致“社会性死亡”的恐惧。个体的自我价值感与“他人的看法”(一种经典的“不可控”外部事物)被深度绑定。一个负面的匿名评论,足以摧毁一个人一天的安宁。\n\n☯️3. 解决方式:斯多葛主义对这种痛苦的“诊断”是,个体犯了一个致命的“范畴错误”。他错误地将“声誉”(一个“中立物”)当作了“善”本身。 这一原则的逻辑功能是“价值重估”。它系统性地剥离了外部事物上的“道德标签”。如果声誉是“中立的”,那么他人的赞美(可取的)和诋毁(不可取的)都不能增加或减少你作为理性个体的核心价值(即你的美德)。 这种价值体系的转换,其目的是“切断”外部事件与内部安宁之间的直接因果链。如果“坏名声”不是一种“恶”,那么对它的恐惧就是非理性的。这种逻辑操练旨在实现一种极端的心理独立:个体的价值感完全自给自足,仅由其“内在美德”来定义,从而对外部的赞誉或谴责“免疫”。\n\n🎯核心原则三:认知的首要性\n☯️1. 概念阐述:如果说前两个原则是“世界观”的设定,那么第三个原则就是“心理实践”的核心机制。斯多葛主义认为,使我们陷入混乱和痛苦的,不是“事件”本身,而是我们对这些事件的“判断”或“看法”。 一个外部事件(例如,引言中提到的“身份突变”)本身只是一个“中立”的事实。它之所以造成痛苦,是因为个体立即对其附加了一个判断,如:“这是一场灾难”、“我的人生失败了”、“我一文不值”。 斯多葛主义的核心训练,就是“同意的训练”——在“刺激”(外部事件)和“反应”(情绪痛苦)之间,强行插入一个“认知审查”的步骤。\n\n☯️2. 现实现象:以“突发性丧失”为例,例如亲人的骤然离世。这是人类经验中最深刻的痛苦之一。即时的、压倒性的心理作用是:“这是无法承受的”、“这是世界上最痛苦的时刻”、“我的生活彻底失去了希望”。这种印象会立即引发剧烈的悲痛。\n\n☯️3. 解决方式:斯多葛主义在此处展现了其最“临床”的一面。它不否认生理的痛苦或情感的冲击(这些被视为自然的、“不可取的”中立物)。但它严格地分析上述的“判断”。 它会系统性地质询这些判断:“死亡”是一个“不可控”的自然事件吗?是的。根据原则二,它是一种“恶”吗?不是(它是一个“中立物”,尽管是“不可取的”)。那么,“我的生活彻底失去了希望”这个判断是基于现实的吗?不是,它是一个基于“错误价值认定”的非理性“同意”。 这种内在逻辑的运作,不是为了“消除”悲伤,而是为了“拒绝”由非理性判断所导致的、具有毁灭性的“激情”。它旨在将情感反应限制在对其“不可取的中立物”的自然反应上,同时防止这种反应升级为对“自我”和“现实”的毁灭性哲学判决。这一原则是该系统的执行程序,旨在通过审查和修正“判断”,来保护心智的“指挥中心”免受非理性情绪的颠覆。\n\n斯多葛主义不是一套用于“感觉良好”的安慰性信条,而是一个旨在彻底“重塑”个体认知结构和价值体系的训练思想。它首先通过“控制二分法”划定意志的边界;接着通过“价值中立性”剥离外部事物的道德属性;最后通过“认知的首要性”提供一套实时的“判断审查”工具。\n\n这一思想体系的激进之处在于,它将人类所有的“苦难”最终归因于一种“认知错误”——即错把“不可控”的当作“可控”的,以及错把“中立的”当作“善或恶”的。因此,它所追求的“安宁”,并非来自外部世界的顺遂,而是来自内部逻辑的绝对一致和对现实的清醒认知。它是一个要求持续实践、高度自律、甚至反直觉的思想操作系统,其最终目的是在承认外部世界完全不可控的前提下,实现内在精神的绝对自主和安宁。\n#哲学 #心理学 #思维 #认知 #知识 #逻辑\n\n#斯多葛主义 #Stoicism #理性 #情绪管理 #思维模型 #人生哲学 #精神自由 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step-by-step),然后看着它奇迹般地解决那些原本棘手的复杂问题。从数学题到逻辑推理,这句简单的指令仿佛成了一句解锁模型潜能的“咒语”。\n\n但你是否想过,这句咒语为什么如此有效?大多数人可能会直觉地认为,这是给了模型更多的“思考时间”或计算空间来处理问题。然而,一篇名为《从稀疏依赖到稀疏注意力:揭示思维链如何提升Transformer的样本效率》的研究指出,真正的原因远比这更深刻,也更令人惊讶。\n\n本文将揭示这篇论文背后隐藏的四大关键洞见,改变你对思维链(Chain-of-Thought, CoT)的传统认知。\n\n🔥1. 核心优势并非更强大,而是学得快:指数级的样本效率提升\n思维链的首要魔力,并非增强模型的“表达能力”(expressiveness),而在于大幅提升其“学习效率”(sample efficiency)。这听起来可能有些反直觉,因为我们总觉得更强的能力来自于更强的模型结构。但论文的理论证明指出,即便是最简单的单层Transformer模型,也具备足够的表达能力来解决奇偶校验问题。问题在于,它们就是学不会如何去解。\n为了证明这一点,研究者们设计了一个精妙的实验:奇偶校验(Parity)问题。简单来说,就是从一长串二进制数中,找出几个预先设定的“秘密”数字,然后判断这些秘密数字的和是奇数还是偶数。这个问题本身结构简单,但对神经网络来说却是一个经典的难题。\n\n实验结果的对比是惊人的:\n 🎓• 没有CoT的情况: 当模型只能看到问题和最终答案时,实验结果与理论分析都表明,它需要指数级的训练样本才能学会。这意味着,随着问题难度(秘密数字的数量k)的增加,所需的训练数据量会呈爆炸式增长,很快变得不切实际。\n 🎓• 使用CoT的情况: 当研究者将解题步骤(例如,每次只累加一个秘密数字的中间结果)作为CoT提供给模型时,模型仅需近似线性的样本就能轻松学会。正如论文的实验和理论所揭示的,学习效率获得了指数级的提升。\n\n结论:CoT的真正价值在于极大地提升了样本效率。它像一位高效的导师,让模型能用极小的代价,学会那些原本需要海量数据才能掌握的困难任务。\n\n🔥2. 成功的秘诀:稀疏注意力机制\nCoT之所以能实现这种惊人的效率提升,关键在于它为数据引入了一种名为“稀疏的序列依赖关系”(sparse sequential dependence)的特性。当一个复杂问题被分解为CoT的简单步骤后,每一步的计算通常只需要依赖前面内容中的极少数关键信息。例如,在奇偶校验的CoT中,计算第三步的结果只需要第二步的结果和第三个秘密数字,而与其他所有信息无关。\n\n这种稀疏的依赖关系,恰好能够引导Transformer模型内部的注意力机制学会一种高效的工作模式——“稀疏注意力”(Sparse Attention)。模型不再需要漫无目的地关注所有输入,而是学会了将注意力高度集中在少数几个当前步骤最相关的部分上。\n\n论文通过实验清晰地展示了这一点:\n 🎓• 可解释的注意力图: 训练完成后,模型的注意力模式变得异常清晰。从论文实验可以看出,在CoT的每一步计算中,注意力都像激光一样,精确地聚焦到了当前步骤所需的那一个“秘密”数字上,而完全忽略了其他无关的输入。\n 🎓• 注意力熵与准确率的关系: 研究者使用“归一化注意力熵”来衡量注意力的稀疏程度(熵越低,注意力越集中)。他们发现,模型的注意力变得越稀疏,其解决问题的准确率就越高。实验数据明确显示,当注意力熵急剧下降时,模型的准确率会随之跃升至100%。\n\n结论:CoT就像一位导师,教会了模型如何“抓重点”。这种学会聚焦、避免在海量信息中迷失的能力——即稀疏注意力——正是其高效学习的核心机制。\n\n🔥3. 意外发现:没有CoT,模型也能自学稀疏性,但过程极其漫长\n\n如果稀疏注意力真的是关键,那么一个模型即使在没有CoT引导的情况下,也应该只有在它以某种方式自发学会这种稀疏性之后才能成功。研究者们设计了一个巧妙的实验来验证这一点。他们进行了“多轮训练”(Multi-pass Training):在不使用CoT的情况下,让模型在同一个小型数据集上反复、高强度地训练。\n\n结果令人震惊,并且有力地证实了这一假说。首先,经过足够长时间的“死磕”,模型最终竟然也学会了解决奇偶校验问题。通过观察模型内部的变化,研究者发现,成功的转折点同样在于其内部自发地发展出了稀疏的注意力模式。在训练初期,模型表现不佳,注意力熵很高;随后进入一个漫长的平台期,虽然损失函数没有明显下降,但其注意力熵却在持续悄然降低;一旦注意力变得足够稀疏,模型的准确率就会像顿悟一般突然飙升。\n\n而实验中最具颠覆性的发现来自于对不同数据集规模的比较:\n 🎓• 在5万个样本的小数据集上反复训练,模型最终成功了。\n 🎓• 然而,当研究者把数据集扩大到100万个样本时,模型反而失败了。训练损失和注意力熵始终居高不下。\n\n结论:这个反直觉的结果意义重大。它证明了“稀疏注意力”是解决这类问题的根本,而不仅仅是数据量的堆砌。CoT提供了一条高效的“捷径”,直接引导模型走向稀疏性。而没有CoT的“蛮力学习”则像是在黑暗中摸索,虽然可能最终也能跌跌撞撞地找到通往稀疏性的道路,但这个过程缓慢、低效且充满不确定性——甚至更多的数据反而可能成为一种干扰。\n\n🔥4. 从理论到现实:真实世界的大模型同样遵循此道\n以上所有发现,并不仅仅适用于奇偶校验这样的合成问题。研究者们进一步在真实世界的数学问题数据集GSM8K上验证了他们的理论,发现这一机制在真实的大模型上同样适用。\n 🎓• CoT数据诱导稀疏性: 实验结果表明,当一个预训练的通用大模型(如Qwen2-7B)处理带有CoT解题步骤的数学题数据时,其注意力熵显著低于处理没有CoT的“问题-答案对”数据。这证明了真实世界中的CoT数据同样具备引导模型形成稀疏注意力的结构。\n 🎓• CoT微调增强稀疏性: 研究者进一步比较了通用模型(Qwen2-7B)和在数学CoT数据上微调过的专业模型(Qwen2-Math-7B)。结果显示,经过CoT数据微调的数学模型,在处理相同问题时,其注意力模式变得更加稀疏。\n\n结论:CoT引导模型学习稀疏注意力的机制是普适的。无论是处理理论问题还是真实世界的复杂任务,这种机制都在发挥作用。模型不仅能在训练中学会这种高效的推理模式,而且专门针对CoT数据进行优化的模型,会更擅长运用这种能力。\n\n重新理解“思考”的本质\n现在,让我们回到最初的问题:为什么“一步一步地思考”这句咒语如此神奇?\n\n这篇研究给出了一个清晰而深刻的答案:CoT的魔力不在于赋予模型新的超能力,而在于通过引入稀疏的依赖关系,将一个难以学习的问题转化为一个容易学习的问题,从而极大地提升了模型的学习效率。其背后最核心的机制,就是引导模型形成了稀疏和可解释的注意力模式。\n当我们让模型“一步一步思考”时,我们不仅仅是在给它时间,更是在给它一个结构化的、稀疏的思考框架,帮助它学会如何聚焦,如何从复杂性中提炼出关键信息。\n\n这不禁让我们思考一个更深层次的问题:既然我们知道了“稀疏性”是解锁高效推理的关键,那么未来的研究是否能设计出一种全新的模型架构,让它无需依赖“一步一步”的外部提示,就能天生高效地学习和捕捉世界中的稀疏因果关系呢?这或许是通往更强大、更通用人工智能的下一条路径。","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null}]},{"label":"2025-10-27","value":431,"startTime":1761436800000,"endTime":1761523200000,"tweets":[{"bookmarked":false,"display_text_range":[0,144],"entities":{"hashtags":[{"indices":[878,884],"text":"提示词工程"},{"indices":[885,889],"text":"LLM"},{"indices":[890,895],"text":"AIGC"},{"indices":[896,902],"text":"大语言模型"},{"indices":[903,908],"text":"人工智能"},{"indices":[909,914],"text":"AI研究"},{"indices":[915,933],"text":"PromptEngineering"},{"indices":[934,946],"text":"LLMResearch"},{"indices":[947,952],"text":"AI理论"},{"indices":[953,958],"text":"机器学习"}],"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"extended_entities":{"media":[{"display_url":"pic.x.com/jMpFhRgRKf","expanded_url":"https://x.com/Georgeistrue/status/1982308237241446694/video/1","id_str":"1982296651822776320","indices":[145,168],"media_key":"13_1982296651822776320","media_url_https":"https://pbs.twimg.com/amplify_video_thumb/1982296651822776320/img/YpBZXyGAgFaDgw_g.jpg","type":"video","url":"https://t.co/jMpFhRgRKf","additional_media_info":{"monetizable":false},"ext_media_availability":{"status":"Available"},"sizes":{"large":{"h":1080,"w":1920,"resize":"fit"},"medium":{"h":675,"w":1200,"resize":"fit"},"small":{"h":383,"w":680,"resize":"fit"},"thumb":{"h":150,"w":150,"resize":"crop"}},"original_info":{"height":1080,"width":1920,"focus_rects":[]},"video_info":{"aspect_ratio":[16,9],"duration_millis":429314,"variants":[{"content_type":"application/x-mpegURL","url":"https://video.twimg.com/amplify_video/1982296651822776320/pl/G-ZDcNPpNucu40wH.m3u8?tag=21"},{"bitrate":256000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/480x270/B6m0FPGn-M_tFbw4.mp4?tag=21"},{"bitrate":832000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/640x360/jG06Pd87bz-1ObD-.mp4?tag=21"},{"bitrate":2176000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1280x720/lA8TGTqOEEyZm3_0.mp4?tag=21"},{"bitrate":10368000,"content_type":"video/mp4","url":"https://video.twimg.com/amplify_video/1982296651822776320/vid/avc1/1920x1080/ojpUbf72fG3Rk03e.mp4?tag=21"}]},"media_results":{"result":{"media_key":"13_1982296651822776320"}}}]},"favorited":false,"lang":"zh","possibly_sensitive":false,"possibly_sensitive_editable":true,"retweeted":false,"fact_check":null,"id":"1982308237241446694","view_count":107,"bookmark_count":0,"created_at":1761454087000,"favorite_count":1,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1982308237241446694","full_text":"揭开提示工程的神秘面纱\n\n我们在与大型语言模型(LLM)打交道时,“提示工程”常常给人一种近乎“魔法”的印象。\n\n在调教提示词时,我们在依赖直觉和反复试错,像炼金术士一样,通过不断调整措辞、增删词语,试图找到那句能让模型输出最佳结果的“咒语”。这个过程充满了不确定性,但其效果又出奇地好。\n\n这引出了一个深刻的谜题:为什么那些通过手动精心调整,甚至是自动化算法在训练数据上搜索出来的“完美”提示词,不仅在训练数据上表现出色,也往往能在全新的、模型从未见过的数据上表现优异?按照传统机器学习的经验,这种针对训练数据的“过度优化”很容易导致“过拟合”(即模型只是死记硬背了训练样本的答案,而失去了泛化到新问题的能力)。然而,提示工程似乎天然地对这种陷阱免疫,为什么呢?\n\n最新的研究表明提示工程远非简单的反复试错,其背后隐藏着深刻的计算机制和统计学规律。\n\n以下是5个研究结论:\n\n1. 提示词即程序,而非指令。输入提示词是在动态“配置”LLM,即时构建一个“虚拟神经网络”。你的措辞是在“编程”,直接定义网络架构和权重。\n\n2. 单个注意力头具备“万能逼近器”潜力。理论证明,一个注意力头配合精巧的前缀(prefix-tuning),即可模拟任意连续函数。关键是激发核心组件的内在计算力,而非仅依赖模型规模。\n\n3. 手调提示词的泛化保障:自然性。PAC-Bayes理论表明,提示词不易过拟合,因为受“自然语言”约束。一个有效的提示词必须是“自然的”(KL散度低),这限制了其为迎合训练数据而产生的复杂性。\n\n4. 长提示词(CoT)构建更深的“虚拟网络”。“思维链”有效,不只因提供了更多上下文。更长的提示词在功能上构建了更深、更复杂的虚拟计算网络,从而降低复杂任务的近似误差。\n\n5. 无关信息是“灾难”,而非“干扰”。提示词中的“噪声”词元会带来一个无法消除的误差下限。无论有效部分多长,模型性能都会被“卡”在低水平。保持高信噪比是前提,不是优化。\n\n提示词工程正从艺术转向科学。理解其“编程”和“函数逼近”的本质,是系统化设计“超级提示”的基础。\n\n#提示词工程 #LLM #AIGC #大语言模型 #人工智能 #AI研究 #PromptEngineering #LLMResearch #AI理论 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problem)。研究发现,即使是一个简单的单层Transformer,其模型结构也已经具备了表达奇偶校验函数解法的能力。然而,令人惊讶的是,如果没有思维链的引导,模型需要指数级数量的训练样本才能学会这个函数,这在实践中几乎是不可能的。\n相比之下,当为模型提供带有思维链的训练数据时(即包含计算过程的中间步骤),同一个Transformer模型仅需多项式级的样本就能学会。这是一个在样本效率上指数级的提升。正如一篇研究论文所指出的:\n“在不使用CoT时,大语言模型常常在一些简单任务上遇到困难——比如计算‘strawberry’这个单词里有多少个‘r’。考虑到模型尺寸越来越大,这类任务超出其表达能力的上限似乎是不太可能的。”\n这项研究进一步揭示,思维链通过在输入中引入稀疏的序列依赖关系,引导模型学习到稀疏且可解释的注意力模式,这使得模型能将注意力集中在下一步计算所需的少数关键信息上,而不是在庞杂的输入中迷失方向,从而极大地简化了学习过程。这说明,思维链的核心价值之一在于它让模型能更高效地从数据中学会推理,而不是赋予它一种原本不具备的能力。\n\n3. 分步推理使AI在面对信息不完美时更加稳健\n\n现实世界的数据充满了噪声、错误和不完整的信息。无论是人类标注的数据,还是网络上抓取的内容,都很难做到完美无瑕。这对依赖数据学习的AI模型构成了巨大挑战。\n研究表明,在这种不完美的环境下,思维链相比标准的上下文学习(In-Context Learning, ICL)展现出显著的优势。ICL严重依赖于示例的质量——如果示例中的答案是错误的,模型很可能会被误导。然而,思维链的分步过程允许模型超越单个答案的对错,去学习和提取其背后正确的推理过程。\n一项实验有力地证明了这一点:一个使用思维链数据训练的Transformer模型,即使在其30%的训练数据中,中间步骤存在损坏或缺失,最终的推理准确率依然非常高。这意味着,模型能够透过不完美的数据,“领悟”到解决问题的正确逻辑和方法。这种稳健性对于AI在真实世界中的应用至关重要,它使得模型能够从不完美但更接近现实的人类数据中,学习到可靠的推理能力。\n\n4. 从统计学上看,CoT几乎总是更优选择,但“坏思路”可能有害\n\n从统计学的角度看,思维链可以被理解为一种“贝叶斯模型平均”(Bayesian Model Averaging, BMA)。简单来说,模型会根据示例中提供的信息(包括问题、中间步骤和答案),推断出许多种可能的潜在“任务”或“概念”,然后将这些可能性进行加权平均,从而做出最终的预测。\n基于这个框架,理论分析得出了一个非常强有力的结论:在所有可能的任务和提示的平均情况下,提供中间步骤(CoT)的表现永远优于或等于只提供最终答案(标准ICL)。这是因为中间步骤提供了关于潜在任务的额外信息,减少了不确定性,从而帮助模型形成更准确的“后验信念”。\n然而,这里有一个至关重要的警告:这种优势是在平均意义上成立的。对于一个特定的任务,如果提供的中间步骤包含误导性或不相关的信息,反而可能会损害模型的性能。一个名为“CityEquation”的实验清晰地展示了这一点:任务是计算两个城市经度的和,如果在思维链中同时提供了相关的经度信息和不相关的城市人口信息,模型的表现会因为这些“坏思路”的干扰而下降。\n这个发现告诉我们,虽然鼓励AI“展示其工作过程”在统计上是一个稳妥的策略,但这个过程的质量和相关性至关重要。提供清晰、相关、高质量的推理步骤才能最大化思维链的优势。\n\n通过揭示思维链背后的机制,我们看到了AI推理能力提升的几个事实真相:它不只是一个提示技巧,而是一种根本性的计算模式转变;它极大地提高了模型的学习效率,而非仅仅增强其表达能力;它赋予了模型在不完美数据中学习的稳健性;并且它在统计上是一个更优的策略,尽管需要警惕“坏思路”的干扰。\n这些发现标志着我们对AI训练理念的转变——从仅仅教会模型答案“是什么”,到引导它们学习“如何”一步步地得到答案。这不仅仅是技术的进步,更引发了我们对AI能力提升的深刻思考。\n\n#思维链 #ChainOfThought #AI推理 #AIFuture #计算革命 \n#CoT #ReasoningAI #LLM #Transformer #人工智能 #AI革命 \n#AI思考 #AI研究 #AI学习效率 #推理能力 #可解释性AI \n#AI思维链 #AI创新 #AI理论 #AI趋势 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code,后端的模型换做其他,但是不知道效果会不会打折扣?","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":1,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[]},"favorited":false,"lang":"zh","retweeted":false,"fact_check":null,"id":"1983562337614520416","view_count":2,"bookmark_count":0,"created_at":1761753088000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983562337614520416","full_text":"北大博士任教985高校三年:考核未过,背着百万房贷离开\n\n“措手不及!”今年元旦刚过,一纸“不再续聘”通知“传”到了36岁的程欣手中。月末就是春节,程欣本打算和妻儿过个好年,却被催促着务必尽快办完离职手续,清空办公室。\n在考核前,他曾多次询问院系相关领导,得到的答案是“无需担心”。因此,他并未着手寻找新的工作,谁知迎来的是冷水浇头。\n\n时间拉回2021年,程欣作为“优秀博士学位论文”的获得者,从北京大学毕业。当时,他一共拿到33个工作offer,最终选择入职了这所心仪的985高校。\n\n程欣经历了许多:入职不到一年,为了完成考核,他不得不放弃深耕10年的方向,转向更“热门”、便于发论文的课题。他曾因教学评价高而获得“教学优秀奖”,还带领本科生拿到“挑战杯”国家级一等奖,但这些对考核毫无助力。\n\n但过去的经历依然历历在目。程欣提出了一个深埋心中的疑问:学术,到底应该被当成一份功利化考量的工作,还是一份理想追求?\n\n以下是他的讲述:\n\n📚启程\n\n2021年夏天,我从北京大学博士毕业,是优秀博士学位论文的获得者。从硕士到博士,我都跟随同一位导师研究社会科学,围绕同一个主题深入做研究,发表了10余篇论文。\n\n我的导师是一位纯粹的研究型学者,整个师门的氛围是潜心学术的。我博士期间的目标就是毕业后成为大学老师,能够做自己感兴趣的研究,同时培养学生。\n\n毕业季,我投出200多封邮件,最后拿到了33个offer,其中包括某Top2大学马克思主义学院、北京一所师范大学的哲学系、承诺给编制的西部某“双一流”大学……\n\n最终,我下定决心入职这所985高校,原因是多方面的。首先是导师的建议和我理想主义的想法——当时,师门里还没有同学去往那座城市,我想做个开拓者;其次,引进我的老师很有人格魅力,我感觉遇到了“伯乐”;此外,虽然合同上写的考核时间只有三年,但我得到的口头承诺是“3+3”,即首聘三年后,若考核未完全达标,学校通常会续聘三年。我想,虽然我的方向偏冷门一点,但6年的时间可以去“拼一把”。\n\n刚入职时,想法是很明确的:教学和科研两条腿走路。那时学校还有一条“教学通道”——如果青年教师在论文发表和课题申请上稍有不足,通过教学依然可以评职称、留下来。\n\n在教学方面,我投入了巨大热情,在2023年拿到了“校教学优秀奖”,并带领本科生团队拿到“挑战杯”国家级一等奖,后者在学院是史无前例的。\n\n在科研方面,我做了一个有点痛苦的决定。入职不到一年,我意识到,坚持原有的冷门方向,意味着不可能达到考核要求。正好有一门热门主题课程的老师临近退休,由我接手。为了转换方向,我跟着本科生坐在教室里,认认真真听了那学期的每一堂课。\n\n我们系的氛围很好,领导、同事给了我许多支持和帮助。经人介绍,我结了婚,把所有存款拿来买了房子,并贷款100多万。我和爱人的收入加起来不高,一个人支撑房贷,一个人支撑生活用度,两个人过着普通的小日子。这样“安稳”的生活,已经让我心满意足。\n\n📚变故\n\n2023年,学校的一纸新政彻底堵死了“教学通道”。其规定,副高职称以下的青年教师,原则上不允许再承担课程教学。实际操作是,学校层面直接取消了我们这些不符合职称要求的青年教师授课排课资格。\n\n我并没有太放在心上,毕竟在校工作期间,我发表了多篇论文,手上还有两篇“已录用”的论文。并且2024年临近考核期时,我反复向院系领导确认,得到的回复是“不用担心,老人老办法,原来的3+3承诺依然生效”。在我之前的老师,有些超出了6年合同期的,还根据情况给他们续了一两年,以达到论文发表要求。因此,我天真地以为自己“没问题”,也没有着手去找新的工作。\n\n2024年12月30日,我做工作答辩。次日,学院发布了对我“不再续聘”的决定,这个通知并未送达我本人,只是发布在公告墙上。两天后,我通过他人得知:我失业了。\n\n失业的第一周,整个人都是崩溃的。我还是会习惯性地拿起书,或打开电脑,但又马上意识到,我没有工作了。当时临近春节,没什么找工作的窗口,我在家发呆了整整一个月,还不时收到“尽快办理离职手续、清空办公室”的催促。\n\n收入断了,孩子出生不久,我还面临还房贷、养家的压力。“醒”来之后,我赶紧抓住春季招聘的窗口。最让我难受的是:我失业时,年龄刚满36岁,有很多好机会却将年龄卡在35岁,我无法申请。\n\n与家人反复商量后,我选择了一所南方沿海城市的高校。这所学校的名气没那么大,但考核要求不高,且薪资是之前的两倍多,还为我们一家三口提供了公寓。\n\n妻子安慰我:“100多万的房贷可以慢慢还,就当没来过,好歹还成了个家。”如今,我们已经举家搬迁到新的城市,从头开始。\n\n📚反思\n\n回头再看,我不禁反思:为何在考核制度下,我成了被淘汰的“不合格产品”?\n\n我必须先替学院的领导、同事说句公道话——他们都是很好的人,无论是工作期间对我的支持,还是找新工作时对我的安慰和帮助。那么,我面临的痛苦究竟来源于哪里呢?\n\n首先,制度存在“不明确地带”且不断变化。我承认,2024年底接受考核时,自己确实没有达到考核要求,即“三年内拿到一个国家级课题(或引进经费至少20万),同时发表至少5篇符合学校要求的期刊论文”。\n\n然而,这些要求是2024年学校的内部文件下发的“新办法”,并未写进我的入职合同,入职时也有“教学通道”和“3+3”的承诺,考核操作是比较“柔和”的。\n\n实际上,一个普通青年教师仅凭“个人”努力,极难甚至绝无可能在三年内达到如此严苛的标准。我和身边的朋友日均工作12~18小时,但大多是“非升即走”的失败者。\n\n我观察发现,高校的人才引进制度已经非常“市场化”了,永远有更年轻、更“卷”的人拿到职称,考核要求水涨船高,没能跟上节奏的“老人”惨遭淘汰。竞争是无情的,许多学校集结大批青年研究人员,学校的排名和论文发表数量大幅提升,但这对青年教师的影响很不好。\n\n其次,论文的发表存在着大片“灰色地带”。作为大学老师,每个星期打开邮箱,都能收到一大堆“代发论文”的邮件,其中期刊的等级被明码标价。\n\n此外,作者的身份职级影响着论文发表。我亲身经历过,一篇论文在投稿时顺利通过审核,马上要发表了,编辑明确告诉我:“找一个正教授挂名,我们马上给你发表。”我当时想了很久,却没舍得,因为那篇论文是我花费很多心血的得意之作。\n\n我们会看到,一位知名学者一年论文的发表量,超过一整所大学。被指出后,这种现象依然没有收敛,反而愈演愈烈。\n\n无论是花钱“买”论文,还是找“大佬”带,都是普通青年教师难以承担的成本。\n\n📚平庸之恶\n\n除了我自己的亲身经历,我还想举三个身边朋友的案例。\n\n我的一位师弟,是大家心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[0,109],"entities":{"hashtags":[],"media":[{"display_url":"pic.x.com/WqskjWwwxp","expanded_url":"https://x.com/Georgeistrue/status/1983563770892112338/photo/1","id_str":"1983563747445919744","indices":[110,133],"media_key":"3_1983563747445919744","media_url_https":"https://pbs.twimg.com/media/G4cIuAvbUAACTwe.jpg","type":"photo","url":"https://t.co/WqskjWwwxp","ext_media_availability":{"status":"Available"},"features":{"large":{"faces"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心中永远的痛。他家境普通,幼时父亲去世,母亲一个人含辛茹苦把他拉扯大,送到北京大学读完博士。博士毕业后,他入职南方一所知名985高校,考核压力很大。2023年,因为长时间伏案工作,师弟突发心梗去世了。\n\n在师弟的葬礼上,同学们发起了捐款。这件事也让我们“心有戚戚焉”。在考核的压力下,连熬几个通宵都是寻常,我们不禁思考:如果哪一天倒下,家人、孩子怎么办?\n\n我的一位女同学,从各方面来说都是符合“非升即走”制度期待的典型。她聪明、勤奋、能力极强,论文发表的篇数和级别都是同龄人之中的佼佼者,在北京一所知名院校任副教授。去年年底,我和她一起参加学术会议,她看起来妆容很不错,但她其实已经连续6年没有睡过一个好觉,精神状态濒临崩溃。她恋爱长跑多年,至今没有敢领证结婚,更别提生娃。\n\n第三个例子,是我一位工科的朋友。他非常优秀,一年能“拼”十余篇高水平论文。但他已经临近40岁,仍然因为压力过大不敢结婚。\n\n大家可能都羡慕大学老师,看起来很光鲜、“不坐班”。但实际上,青年教师的工作时间超额、亚健康率极高、生活保障很弱。我现在不敢去体检,笑称“只要不体检,身体就没事”。\n\n对我们而言,考核的压力、身体的病痛、对未来的担心交织在一起,就像阴影般如影随形。\n\n汉娜·阿伦特曾提出“平庸之恶”的概念,在某些制度下,个体放弃独立思考而选择机械服从,最终推动了事实上的“恶”。在我看来,“非升即走”制度的初衷是好的,对人才流动的确起到了积极的作用,但现如今已经被“异化”了,变成“唯论文”“唯课题”的结合。许多学校实施它的初衷,已经不是为了“让人留”,而是为了“让人走”:学校要的是能提升排名的论文和课题,而不是人才。\n\n要破除这种“平庸之恶”,就需要我们每个普通人去叩问制度。比如:能否更具有契约精神,在入职时就将考核的条件明确写进合同,此后不再变化?这样清晰透明的合同制对青年教师更为友好。\n\n我更真心希望,制度的设计者能“将枪口抬高半寸”,除了硬性指标之外,能给投入教书育人、研究冷门基础学科的青年教师一些呼吸的空间。\n\n最后,真心给年轻的师弟、师妹们一个建议:学术追求是自己的,但工作有非常现实的指标,一定要将工作和学术理想分开。另外,高校不是象牙塔,教职也只是一份工作,需要评估实际的收获,以及承诺能否兑现,不要将自己的人生变成一场“对赌”。\n\n*文中程欣为化名\n转载自中国科学报","in_reply_to_user_id_str":null,"in_reply_to_status_id_str":null,"is_quote_status":0,"is_ai":null,"ai_score":null},{"bookmarked":false,"display_text_range":[9,19],"entities":{"hashtags":[],"symbols":[],"timestamps":[],"urls":[],"user_mentions":[{"id_str":"1164388321545449472","name":"卫斯理","screen_name":"imwsl90","indices":[0,8]}]},"favorited":false,"in_reply_to_screen_name":"imwsl90","lang":"zh","retweeted":false,"fact_check":null,"id":"1983467757141389805","view_count":1325,"bookmark_count":0,"created_at":1761730539000,"favorite_count":0,"quote_count":0,"reply_count":0,"retweet_count":0,"user_id_str":"871838994002321410","conversation_id_str":"1983458922406236328","full_text":"@imwsl90 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