Flashcard 11 - Quantitative Reasoning Flashcard Set for the CLT

counterexample

A counterexample is any case that disproves a statement or claim. In this example, the statement “All prime numbers are odd” is false because the number \(2\) is both a prime number and even. A prime number is defined as a number greater than \(1\) that has no divisors other than \(1\) and itself.

Since \(2\) satisfies this definition and does not fit the claim, it serves as a counterexample. Counterexamples are often used in mathematics and logic to demonstrate that a general statement is not always true.