V2EX disjunction

Disjunction

释义 Definition

“Disjunction”常指逻辑学中的“析取/或”:在两个(或多个)命题之间用“or”连接的关系;只要其中至少一个为真,整体就为真。也可泛指分离、分裂、脱节(较常见于抽象或学术语境)。

发音 Pronunciation

/dsdkn/

例句 Examples

I can take the bus or walk; it’s a simple disjunction.
我可以坐公交或步行;这是一个简单的析取(“或”关系)。

In classical logic, the disjunction “A or B” is false only when both A and B are false.
在经典逻辑中,析取命题“A 或 B”只有在 A 和 B 都为假时才为假。

词源 Etymology

来自拉丁语 disiunctio,意为“分开、分离”,由 **dis-**(分开)+ iungere(连接、结合)构成。后来进入英语,在逻辑学中专门用来表示“用 or 连接的命题关系”(析取)。

相关词 Related Words

文学与著作 Literary Works

  • Tractatus Logico-Philosophicus(维特根斯坦):讨论命题逻辑结构时涉及析取等连接词。
  • Principia Mathematica(怀特海 & 罗素):以形式逻辑系统化呈现包含析取在内的逻辑运算。
  • A Mathematical Introduction to Logic(赫伯特恩德顿 Enderton):逻辑教材中系统讲解“disjunction”。
  • Logic(欧文柯比 Irving M. Copi 等逻辑学教材):在命题逻辑章节频繁出现该术语。
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