In mathematics, counterexamples are often used to prove the boundaries of possible theorems. By using counterexamples to show that certain conjectures are false, mathematical researchers can …

A counterexample is a single, specific example for which a given statement is untrue. This makes the given statement false.

A counterexample gives us the answer: it shows exactly where a general statement fails. This guide will walk you through what a counterexample is, why it matters, and how to spot or create one in …

A counterexample is an example in which the condition is true, but the conclusion is false. If you can find a counterexample to a conditional statement, then that conditional statement is false.

Jun 16, 2026 · The meaning of COUNTEREXAMPLE is an example that refutes or disproves a proposition or theory.

Nov 14, 2023 · A counterexample is a specific example that contradicts a general statement or hypothesis. This is used to disprove statements in logic, rational thought and debate.

Illustrated definition of Counterexample: An example that disproves a statement (shows that it is false). Example: the statement all dogs are hairy...

Jun 13, 2026 · 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.

A counterexample is a specific example or instance that disproves a general statement or hypothesis. More formally, a counterexample is an example that demonstrates the falsity of a proposition or …

Counterexample refers to a specific example that disproves a general claim or argument. In other words, it is an instance that goes against a rule or pattern, demonstrating that the claim or argument is not …