V2EX atomic proposition

Atomic Proposition

Definition / 定义

atomic proposition(原子命题):在逻辑(尤其是命题逻辑)中,不可再分解为更简单命题的最基本命题单位,通常用符号如 P、Q、R 表示。它本身不含有“且/或/非/如果……则……”等逻辑连接词。
(在一些语境中也会涉及谓词逻辑里的“原子公式/原子句”,但最常见用法是指命题逻辑中的最小命题。)

Pronunciation / 发音

/tmk prpzn/

Examples / 例句

P is an atomic proposition.
P 是一个原子命题。

If P and Q are atomic propositions, then (P → Q) is a compound proposition formed with a connective.
如果 P 和 Q 是原子命题,那么 (P → Q) 就是用连接词构成的复合命题。

Etymology / 词源

atomic 来自希腊语 atomos,意为“不可切分的”(a- “不” + tomos “切割”),引申为“最小单位”。proposition 来自拉丁语 propositio,意为“提出的陈述”。合起来,“atomic proposition”字面意思就是“不可再分的陈述/命题”,对应其在逻辑中的“基本命题单位”含义。

Related Words / 相关词

Literary Works / 文学作品

  • The Philosophy of Logical Atomism Bertrand Russell(罗素)
  • Principia Mathematica Alfred North Whitehead & Bertrand Russell(怀特海与罗素)
  • An Introduction to Non-Classical Logic Graham Priest(格雷厄姆普里斯特)
  • Logic: The Laws of Truth Nicholas J. J. Smith(尼古拉斯J. J. 史密斯)
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