Linked from

The 23 pages that link to Counterexample, each with the reason it gives.

• FalsifiabilityRelated: It is the specific kind of observation that can show some claims false.

• Socratic methodRelated: A single counterexample can undermine a definition that fails to cover every relevant case.

• PremiseRelated: A counterexample can undermine a premise or expose a faulty inference.

• Model checkingRelated: A failed check can return an execution trace that violates the property.

• ArgumentRelated: A counterexample can expose a flaw in a premise or invalidate a general inference.

• Surjective functionRelated: One codomain element with no preimage is enough to disprove surjectivity.

• TheoremRelated: A single counterexample can refute a proposed theorem before proof is possible.

• Logical validityRelated: A single case with true premises and a false conclusion disproves validity.

• Affirming the consequentRelated: One true conditional with a true consequent and false antecedent refutes the form.

• PhilosophyRelated: Counterexamples pressure-test philosophical theories and definitions.

• Mathematical conjectureRelated: One counterexample can disprove a conjecture asserting a property for every case.

• Mathematical problemRelated: A single counterexample can resolve a problem asking whether a general claim holds.

• Agrawal's conjectureRelated: A single composite satisfying the identity for every a would refute the conjecture.

• Bunkbed conjectureRelated: Finding a graph that reverses the probability comparison would settle the conjecture negatively.

• Hedetniemi's conjectureRelated: A finite pair of graphs with a smaller product chromatic number refutes the conjecture.

• Ibragimov–Iosifescu conjectureRelated: A counterexample would settle the conjecture negatively while preserving boundedness and vanishing c6-mixing.