V2EX counterexample

Counterexample

释义 Definition

反例;反例子:用来否定某个普遍性说法、规则或猜想的具体例子。只要找到一个反例,该说法在原本的“对所有情况都成立”的意义下就不成立。(在数学、逻辑、日常论证中都常见)

发音 Pronunciation (IPA)

/kantrzmpl/

例句 Examples

A single counterexample can disprove the claim.
一个反例就能推翻这个说法。

The theory seems convincing, but one carefully constructed counterexample reveals its hidden assumptions.
这个理论看似很有说服力,但一个精心构造的反例揭示了它隐藏的前提。

词源 Etymology

counter- 表示“反对、相反”,example 表示“例子”。合起来就是“用来反驳的例子”。该词常用于逻辑与数学论证:当命题声称“所有……都……”时,反例是最直接的否定方式。

相关词 Related Words

文学作品 Literary Works

  • Bertrand Russell & Alfred North Whitehead, Principia Mathematica(常见于形式逻辑/数学论证语境,涉及以反例检验命题的讨论)
  • Karl R. Popper, The Logic of Scientific Discovery(讨论“可证伪性”,其中“反例”作为推翻普遍性断言的关键概念频繁出现)
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