V2EX truth value

Truth Value

定义 Definition

truth value 指一个陈述句(命题)在逻辑或语义学中所具有的“真假状态”,通常只有两种:真(true)假(false)。在某些体系(如多值逻辑)中也可能有不止两种真值。

发音 Pronunciation (IPA)

/truθ vlju/

例句 Examples

The truth value of “2 + 2 = 4” is true.
“2 + 2 = 4”这句话的真值为真。

In classical logic, two sentences are equivalent if they always have the same truth value under every interpretation.
在经典逻辑中,如果两句话在每一种解释下总是具有相同的真值,那么它们就是等价的。

词源 Etymology

truth 源自古英语 trēow(“真实、忠实”之意),与“可信、可靠”的观念相关;value 来自拉丁语 valēre(“有价值、有效、强健”)。合起来 truth value 字面意思是“真实的取值/真假取值”,在逻辑学里专指命题所取的“真/假”这一类值。

相关词 Related Words

文学与经典著作 Literary Works

  • Gottlob Frege, The Thought: A Logical Inquiry(常译《思想:一项逻辑研究》;讨论句子的真值与意义)
  • Ludwig Wittgenstein, Tractatus Logico-Philosophicus(《逻辑哲学论》;核心概念之一为“真值/真值函数”)
  • Alfred Tarski, The Concept of Truth in Formalized Languages(《形式化语言中的真概念》;讨论真与真值相关的形式化理论)
  • Bertrand Russell & Alfred North Whitehead, Principia Mathematica(《数学原理》;形式逻辑体系中涉及命题与真值的处理)
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