V2EX truth-value

Truth-value

释义 Definition

真值;真值性:指一个陈述、命题或句子在逻辑意义上是否为真或为假(通常取值为 True/False;在某些逻辑体系中也可能有更多取值)。

发音 Pronunciation (IPA)

/truθ vlju/

例句 Examples

The truth-value of “Snow is white” is true.
“Snow is white”的真值为真。

In formal logic, we analyze arguments by tracking the truth-value of each premise and seeing whether the conclusion must follow.
在形式逻辑中,我们通过追踪每个前提的真值来分析论证,并判断结论是否必然成立。

词源 Etymology

truth-value 是由 truth(真)+ value(值) 构成的复合词,主要用于逻辑学、哲学与语言学中,用“值”的方式来表达命题的“真假状态”。这一表达与近现代逻辑的发展密切相关(尤其在讨论“命题如何具有真假”时常用)。

相关词 Related Words

文学与著作中的用例 Literary Works

  • Gottlob Frege《On Sense and Reference》(《论涵义与指称》):讨论语句的指称与真值的关系(常以“真/假”为语句的指称来谈)。
  • Ludwig Wittgenstein《Tractatus Logico-Philosophicus》(《逻辑哲学论》):在命题与世界的对应关系中讨论命题的真假(真值相关论述非常核心)。
  • Alfred Tarski《The Concept of Truth in Formalized Languages》(《形式化语言中的真概念》):系统讨论形式语言中“真”及其与真值的关联。
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