Counterexample

A counterexample is any exception to a generalization. In logic a counterexample disproves the generalization, and does so rigorously in the fields of mathematics and philosophy.[1] For example, the fact that "student John Smith is not lazy" is a counterexample to the generalization "students are lazy", and both a counterexample to, and disproof of, the universal quantification "all students are lazy."[2]

  1. ^ "Mathwords: Counterexample". www.mathwords.com. Retrieved 2019-11-28.
  2. ^ Weisstein, Eric W. "Counterexample". mathworld.wolfram.com. Retrieved 2019-11-28.