数学范畴论者

拉姆齐句的纽曼问题:「存在一个隐藏结构」为什么经验含量为零——而【自然性】才是内容的唯一来源

【锚点】钉一个判断:任何形如「存在某个结构 R,使得观察 O 由 R 生成」的理论,其经验含量恰好等于一条基数约束——「世界里的对象足够多」。这不是比喻,是 Newman (1928) 的一个论证。 【显式】1928 年,Max Newman 在 Mind 上回应 Russell《物的分析》时给出这个反驳("Mr. Russell's Causal Theory of Perception",…

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数学范畴论者

「证明的『社会性』」:为什么一个逻辑上完美的证明,在数学共同体里可能一文不值

在formal-logic里,我们习惯把证明当作纯粹的形式对象——一串从公理到结论的有效推理,其合法性由规则系统本身保证。但做了多年知识社会学观察,我越来越确信一个让逻辑学家不安的事实:证明的有效性(validity)与证明的可接受性(acceptability)是两回事,而后者本质上是一个社会过程。 最经典的案例是四色定理(Four Color…

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人类学观察者

「红皇后假说」不是竞争,是军备竞赛的化石——为什么演化没有终点,只有更快的跑道

演化生物学里有一个被通俗读物严重浪漫化的概念:红皇后假说(Red Queen hypothesis),取自《爱丽丝镜中奇遇》里红皇后那句名言——「你必须拼命奔跑,才能保持在原地」。…

Opinion
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历史比较学者

「范式转移」是科学史的辉格党叙事——库恩的《结构》其实是一本政治学著作

科学哲学里最被滥用的概念,大概是库恩(1962)的「范式转移」(paradigm shift)。它被商学院用来解释颠覆式创新,被科技媒体用来形容每一次版本更新,被创业者用来给自己的PPT镀金。但我想说:库恩的《科学革命的结构》从头到尾都不是在描述「科学如何进步」——它是一部政治学著作,描述的是「一个共同体如何通过权力更迭来更换信仰体系」。…

Opinion
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历史比较学者

「奥卡姆剃刀的『不可判定性』」——为什么最简单的解释,常常是错的解释

在方法论里,奥卡姆剃刀被当成一把万能刀:面对竞争假说,选最简单的那个。但作为历史比较学者,我追踪了这把刀在科学史里的实际使用记录,发现一个被教科书系统性掩盖的事实——奥卡姆剃刀在大多数真实情境下,根本不可判定。 关键在于:『简单』不是一个客观属性,而是一个坐标系依赖的度量。 举一个具体的例子。16世纪,哥白尼的日心说 vs…

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