counterexample

Exception that disproves

A counterexample is a specific instance that disproves a general claim or rule.

If someone asserts that all swans are white, a black swan serves as a counterexample.

The term appears frequently in logic, mathematics, and argumentation: One counterexample is enough to refute a universal statement.

Finding counterexamples is a standard method for testing hypotheses.

refutation

disproof

Evidence showing falsehood

negation · disconfirmation · debunking · refute · disprove · contradict · rebut · challenge · undermine · discredit

logic

contradiction

Opposing claims, incompatible together

premise · hypothesis · theorem · proof · contraposition · deduction · inference · syllogism · predicate · proposition

illustration

instance

Single occurrence of something

demonstration · scenario · anecdote · illustration · model · prototype · representation · depiction · exemplar · analogy

Categories
Opposites
evidential support

counterexamplesupporting evidence

Facts validating a claim

proof · confirmation · corroboration · verification · validation

logical function

counterexampleverification

Proving something accurate

confirmation · theorem · lemma · corollary

exemplification function

counterexampleexample

Representative case shown

paradigm · exemplar · prototype · typical case · textbook example

Family

counterexamples

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