Exact counterexample
- Category
- STANDARD MATHEMATICS
- Definition
- A counterexample established by exact mathematics rather than numerical approximation.
- Math Level
- GENERAL
Exact counterexample
An exact counterexample is a mathematically established example that shows a universal claim is false without relying on numerical approximation.
One exact counterexample is enough to refute a universal statement, provided it satisfies the assumptions of that statement.
See also: counterexample, numerical counterexample. .