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Counterexample

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"…

In mathematics, In philosophy & Overview

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In mathematics

In philosophy

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Counterexample

Nodes46
Edges45
Triples78
Avg. degree1.96
Density0.043478
Components1

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Counterexample

Top relations

related to Further reading · 51
Counterexample → Albert Daoud, An Introduction, Analysis, Andrew, Arthur Seebach, Bernard, Cambridge University Press ISBN, Chichester ISBN, Corrected, Counterexamples, Dover Publications, Elsevier North-Holland ISBN, Eric, Examples, Franklin, Gary, Gelbaum, Graph Theory, Hall, Imre Lakatos
related to In philosophy · 7
Counterexample → Alternatively, Callicles, For, In, Plato's Gorgias, Socrates, This
related to Other mathematical examples · 6
Counterexample → All, Euler's, In, It, Neither, This
related to Rectangle example · 6
Counterexample → All, However, In, She, Suppose, This
related to External links · 3
Counterexample → Quotations, Wikiquote, Wiktionary-logo-en-v2
related to In mathematics · 3
Counterexample → By, In, It
is a · 1
Counterexample → specific example that contradicts a claim
see also · 1
Counterexample → ContradictionException

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Important terminology

counterexamples conjecture example claim isbn statement sides rectangles mathematician mathematics squares philosophy four new hypothesis generalization theorems certain false modify

Entity relationships Subject–Predicate–Object triples

SubjectPredicateObjectConfidenceSrc
Counterexampleis aspecific example that contradicts a claim0.90text
Counterexamplerelated to External linksWiktionary-logo-en-v20.60section
Counterexamplerelated to External linksQuotations0.60section
Counterexamplerelated to External linksWikiquote0.60section
Counterexamplerelated to Further readingImre Lakatos0.60section
Counterexamplerelated to Further readingProofs0.60section
Counterexamplerelated to Further readingRefutations0.60section
Counterexamplerelated to Further readingCambridge University Press ISBN0.60section
Counterexamplerelated to Further readingFranklin0.60section
Counterexamplerelated to Further readingAlbert Daoud0.60section
Counterexamplerelated to Further readingProof0.60section
Counterexamplerelated to Further readingMathematics0.60section

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