What does counterexample mean?
Definitions for counterexample
ˈkaʊn tər ɪgˌzæm pəl, -ˌzɑm-coun·terex·am·ple
This dictionary definitions page includes all the possible meanings, example usage and translations of the word counterexample.
Princeton's WordNet
counterexamplenoun
refutation by example
Wiktionary
counterexamplenoun
An exception to a proposed general rule; a specific instance of the falsity of a universally quantified statement.
ChatGPT
counterexample
A counterexample is a specific instance or example that contradicts a general claim, principle, theorem, or proposition, proving it to be false or incorrect. It is often used as a method of disproving statements or theories in logic, mathematics, and various fields of study.
Wikidata
Counterexample
In logic, and especially in its applications to mathematics and philosophy, a counterexample is an exception to a proposed general rule. For example, consider the proposition "all students are lazy". Because this statement makes the claim that a certain property holds for all students, even a single example of a diligent student will prove it false. Thus, any hard-working student is a counterexample to "all students are lazy". More precisely, a counterexample is a specific instance of the falsity of a universal quantification. In mathematics, this term is also sometimes used for examples illustrating the necessity of the full hypothesis of a theorem, by considering a case where a part of the hypothesis is not verified, and where one can show that the conclusion does not hold. A counterexample may be local or global in an argument.
Matched Categories
Numerology
Chaldean Numerology
The numerical value of counterexample in Chaldean Numerology is: 9
Pythagorean Numerology
The numerical value of counterexample in Pythagorean Numerology is: 1
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Translations for counterexample
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"counterexample." Definitions.net. STANDS4 LLC, 2024. Web. 25 Apr. 2024. <https://www.definitions.net/definition/counterexample>.
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