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- Counterexample abstract "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 (laziness) 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 (a "for all" statement).In mathematics, this term is (by a slight abuse) 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.[citation needed] A counterexample may be local or global in an argument.".
- Counterexample wikiPageID "143151".
- Counterexample wikiPageRevisionID "568710181".
- Counterexample hasPhotoCollection Counterexample.
- Counterexample subject Category:Interpretation_(philosophy).
- Counterexample subject Category:Logic.
- Counterexample subject Category:Mathematical_terminology.
- Counterexample comment "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".".
- Counterexample label "Contraejemplo".
- Counterexample label "Contraexemplo".
- Counterexample label "Contre-exemple".
- Counterexample label "Controesempio".
- Counterexample label "Counterexample".
- Counterexample label "Gegenbeispiel".
- Counterexample label "Kontrprzykład".
- Counterexample label "Tegenvoorbeeld".
- Counterexample label "Контрпример".
- Counterexample label "مثال معاكس".
- Counterexample label "反例".
- Counterexample label "反例".
- Counterexample sameAs Protipříklad.
- Counterexample sameAs Gegenbeispiel.
- Counterexample sameAs Contraejemplo.
- Counterexample sameAs Aurkako_adibide.
- Counterexample sameAs Contre-exemple.
- Counterexample sameAs Controesempio.
- Counterexample sameAs 反例.
- Counterexample sameAs Tegenvoorbeeld.
- Counterexample sameAs Kontrprzykład.
- Counterexample sameAs Contraexemplo.
- Counterexample sameAs m.0121_5.
- Counterexample sameAs Q596077.
- Counterexample sameAs Q596077.
- Counterexample wasDerivedFrom Counterexample?oldid=568710181.
- Counterexample isPrimaryTopicOf Counterexample.