V2EX biconditional

Biconditional

释义 Definition

biconditional(名词/形容词,逻辑学)指“双条件命题/双条件关系”,表示两个命题彼此互为条件:A 当且仅当 B(记作 A B),也可理解为“如果 A 则 B,并且如果 B 则 A”。

发音 Pronunciation (IPA)

/bakndnl/

例句 Examples

A biconditional statement uses “if and only if.”
双条件命题会使用“当且仅当”。

In propositional logic, the biconditional is true exactly when both statements have the same truth value.
在命题逻辑中,双条件连接词当且仅当两个陈述具有相同真值时为真。

词源 Etymology

bi-(“两、双”)+ conditional(“条件的”)构成,字面意思是“双重条件”。它用于形式逻辑中,强调“互相推出”的对称关系,即“当且仅当”。

相关词 Related Words

文学与经典出处 Literary Works

  • A Mathematical Introduction to Logic(Herbert B. Enderton)
  • Logic(Paul Tomassi)
  • An Introduction to Formal Logic(Peter Smith)
  • Discrete Mathematics and Its Applications(Kenneth H. Rosen)
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