Counterexample -- From Wolfram MathWorld

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Counterexample

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.

See also

Proof

This entry contributed by Wiktor K. Macura

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More things to try:

  • (2+3i)(5-i)
  • GF(8)
  • matching polynomial of the Petersen graph

Cite this as:

Macura, Wiktor K. "Counterexample." From MathWorld--A Wolfram Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Counterexample.html

Subject classifications

  • Calculus and Analysis
  • Calculus
  • Maxima and Minima
  • MathWorld Contributors
  • Macura
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