A counterexample is a form of counter proof.

Given a hypothesis stating that F(x) is true for all x in S, show that there exists a b in S such that F(b) is false, contradicting the hypothesis.

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This entry contributed by Wiktor K. Macura

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Macura, Wiktor K. "Counterexample." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein.

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