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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 or law. 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.".
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- Counterexample wikiPageRevisionID "681239775".
- Counterexample wikiPageWikiLink Callicles.
- Counterexample wikiPageWikiLink Category:Interpretation_(philosophy).
- Counterexample wikiPageWikiLink Category:Logic.
- Counterexample wikiPageWikiLink Category:Mathematical_terminology.
- Counterexample wikiPageWikiLink Category:Methods_of_proof.
- Counterexample wikiPageWikiLink Composite_number.
- Counterexample wikiPageWikiLink Conjecture.
- Counterexample wikiPageWikiLink Contradiction.
- Counterexample wikiPageWikiLink Control_theory.
- Counterexample wikiPageWikiLink Counterexamples_in_Topology.
- Counterexample wikiPageWikiLink Deductive_reasoning.
- Counterexample wikiPageWikiLink Eulers_sum_of_powers_conjecture.
- Counterexample wikiPageWikiLink Exception_that_proves_the_rule.
- Counterexample wikiPageWikiLink Ganea_conjecture.
- Counterexample wikiPageWikiLink Geometry.
- Counterexample wikiPageWikiLink Gorgias_(dialogue).
- Counterexample wikiPageWikiLink Hilberts_fourteenth_problem.
- Counterexample wikiPageWikiLink Hypothesis.
- Counterexample wikiPageWikiLink J._Arthur_Seebach,_Jr..
- Counterexample wikiPageWikiLink Logic.
- Counterexample wikiPageWikiLink Loss_function.
- Counterexample wikiPageWikiLink Lynn_Arthur_Steen.
- Counterexample wikiPageWikiLink Lynn_Steen.
- Counterexample wikiPageWikiLink Mathematical_proof.
- Counterexample wikiPageWikiLink Mathematician.
- Counterexample wikiPageWikiLink Mathematics.
- Counterexample wikiPageWikiLink Natural_number.
- Counterexample wikiPageWikiLink Parity_(mathematics).
- Counterexample wikiPageWikiLink Philosophy.
- Counterexample wikiPageWikiLink Plato.
- Counterexample wikiPageWikiLink Prima_facie.
- Counterexample wikiPageWikiLink Prime_number.
- Counterexample wikiPageWikiLink Pólya_conjecture.
- Counterexample wikiPageWikiLink Rectangle.
- Counterexample wikiPageWikiLink Rectangles.
- Counterexample wikiPageWikiLink Rhombus.
- Counterexample wikiPageWikiLink Seifert_conjecture.
- Counterexample wikiPageWikiLink Shape.
- Counterexample wikiPageWikiLink Socrates.
- Counterexample wikiPageWikiLink Square.
- Counterexample wikiPageWikiLink Square_(geometry).
- Counterexample wikiPageWikiLink State_variable.
- Counterexample wikiPageWikiLink Taits_conjecture.
- Counterexample wikiPageWikiLink Universal_quantification.
- Counterexample wikiPageWikiLink Witsenhausens_counterexample.
- Counterexample wikiPageWikiLinkText "Counterexample".
- Counterexample wikiPageWikiLinkText "counterexample".
- Counterexample hasPhotoCollection Counterexample.
- Counterexample wikiPageUsesTemplate Template:Citation_needed.
- Counterexample wikiPageUsesTemplate Template:Reflist.
- Counterexample wikiPageUsesTemplate Template:See_also.
- Counterexample wikiPageUsesTemplate Template:Unreferenced.
- Counterexample subject Category:Interpretation_(philosophy).
- Counterexample subject Category:Logic.
- Counterexample subject Category:Mathematical_terminology.
- Counterexample subject Category:Methods_of_proof.
- Counterexample hypernym Exception.
- Counterexample type Article.
- Counterexample type Article.
- Counterexample type Concept.
- Counterexample type Thing.
- Counterexample comment "In logic, and especially in its applications to mathematics and philosophy, a counterexample is an exception to a proposed general rule or law. For example, consider the proposition "all students are lazy".".
- Counterexample label "Counterexample".
- Counterexample seeAlso Counterexample.
- Counterexample seeAlso Topology.
- Counterexample sameAs مثال_معاكس.
- Counterexample sameAs Контрапример.
- Counterexample sameAs Contraexemple.
- Counterexample sameAs نموونەی_ھەڵوەشێنەر.
- Counterexample sameAs Protipříklad.
- Counterexample sameAs Gegenbeispiel.
- Counterexample sameAs Kontraŭekzemplo.
- Counterexample sameAs Contraejemplo.
- Counterexample sameAs Aurkako_adibide.
- Counterexample sameAs مثال_نقض.
- Counterexample sameAs Vastaesimerkki.
- Counterexample sameAs Contre-exemple.
- Counterexample sameAs דוגמה_נגדית.
- Counterexample sameAs Controesempio.
- Counterexample sameAs 反例.
- Counterexample sameAs Tegenvoorbeeld.
- Counterexample sameAs Kontrprzykład.
- Counterexample sameAs Contraexemplo.
- Counterexample sameAs m.0121_5.
- Counterexample sameAs Contraexemplu.
- Counterexample sameAs Контрпример.
- Counterexample sameAs Protipríklad.
- Counterexample sameAs Protiprimer.
- Counterexample sameAs Контрприклад.
- Counterexample sameAs Q596077.
- Counterexample sameAs Q596077.
- Counterexample sameAs 反例.
- Counterexample wasDerivedFrom Counterexample?oldid=681239775.
- Counterexample isPrimaryTopicOf Counterexample.