A counterexample is a specific example that contradicts a claim, hypothesis, or generalization. In logic a counterexample disproves a universally stated claim, and does so rigorously in the fields of mathematics and philosophy. For example, the statement that "student John Smith is not lazy" is a counterexample to the generalization "students are lazy", and both a counterexample to, and disproof of, the universal quantification "all students are lazy."
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Within Vinony's link graph, 反例 is referenced by 190 other articles, and connects out to mathematics, philosophy and Plato.
Vinony files it under Interpretation (philosophy), Logic and Mathematical terminology.
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在逻辑学中,反例是相对于某个的概念。反例在数学、哲学和自然科学中都有重要的应用。举例来说,对一个命题:所有的天鹅都是白色的。这是一个全称命题,声明对于某类事物全体(所有的天鹅),都有某个性质(是白色的)。为了说明这个命题不是真的,只需要举出一个例子,其对象属于这类事物,但不具有命题中声称的性质就可以了。这样的例子称为反例:一只不是白色的天鹅就是这个命题的反例。
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