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- Learn more:✕This summary was generated using AI based on multiple online sources. To view the original source information, use the "Learn more" links.A proof by counterexample is not technically a proof. It is merely a way of showing that a given statement cannot possibly be correct by showing an instance that contradicts a universal statement.en.wikibooks.org/wiki/Mathematical_Proof/Methods…Proving, or disproving, a statement in the form of X X by establishing the truth or falsehood of a statement in the form of Y Y is known as the technique of proof by counterexample.proofwiki.org/wiki/Proof_by_CounterexampleTo prove that such a claim is true, it is necessary to prove that it holds for all values of all the universally quantified variables (drawn from the universe that we are discussing). 🔗 But to prove that such a claim is false, it suffices to find a single counterexample.www.cs.utexas.edu/~dnp/frege/subsection-229.html
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WEBLearn how to use proof by counterexample to disprove a statement by finding a single example that violates it. See examples, definitions, and exercises on this topic from a free online textbook.
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