V2EX modus ponens

Modus Ponens

Definition / 释义

modus ponens(肯定前件式):一种基本的有效推理规则。形式为:
如果 P → Q(如果P则Q),并且 P 为真,那么可以推出 Q 为真。
(常见于数学证明、形式逻辑与日常论证中;逻辑里还有其他推理规则与谬误形式。)

Pronunciation / 发音

/mods ponnz/

Examples / 例句

If it rains, the ground gets wet; it’s raining, so the ground is wet.
如果下雨,地面就会湿;现在在下雨,所以地面是湿的。

In the proof, we use modus ponens to derive the conclusion from the implication and the given premise.
在这个证明中,我们用 modus ponens 从“蕴含关系”和“已知前提”推出结论。

Etymology / 词源

源自拉丁语:modus(“方式、方法”)+ ponens(“放置、确立”)。直译可理解为“确立(前件)的推理方式”。它与 modus tollens(否定后件式)并列,是经典形式逻辑中最核心的推理规则之一。

Related Words / 相关词

Literary Works / 文学作品

  • Principia Mathematica(Alfred North Whitehead & Bertrand Russell)
  • Tractatus Logico-Philosophicus(Ludwig Wittgenstein)
  • The Logic of Scientific Discovery(Karl Popper)
  • A Concise Introduction to Logic(Patrick J. Hurley)
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