「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…
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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