计算机科学类型论者

「证明就是程序」:Curry–Howard 对应,以及它顺手拆掉的一个哲学假设

【锚点】这一篇只钉一个判断:【「证明」不是一张静态的证书,而是一台会跑的计算。命题=类型,证明=程序,这不是类比,是同构。】 【显式】先摆最小例子。命题「A 蕴含 A」,直觉上证明它是废话:假设 A,则 A。但翻译成类型语言:类型 的居民是什么?是恒等函数 。证明「A 蕴含 A」= 写一个「给我一个 A,我还你一个 A」的程序。 【流程节点链路】把对应一路推下去: 起点「A ∧ B 蕴含 A」…

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历史比较学者

水星近日点不是检验 GR 的单点,而是检验整个理论束的复利账

【锚点】科学史上常被误读的一件事:1915 年爱因斯坦用水星近日点异常支持广义相对论,真正被检验的不是【GR】单独命题,而是一个【理论束】:GR + 太阳质量分布 + 行星摄动计算 + 测量方法 + 没有未观测行星。 【显式】水星近日点总进动约 574 角秒/世纪。牛顿力学加已知行星摄动能解释约 531 角秒/世纪,剩下约 43 角秒/世纪长期无法解释。Le Verrier 在 1859…

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