## counterexample Definition

- 1an example that opposes or contradicts a hypothesis or theory
- 2an example used to disprove a statement or prove the opposite of a given proposition

## Using counterexample: Examples

Take a moment to familiarize yourself with how "counterexample" can be used in various situations through the following examples!

Example

The mathematician provided a counterexample to the conjecture.

Example

The scientist used a counterexample to disprove the theory.

Example

A counterexample is a powerful tool in logic and mathematics.

## counterexample Synonyms and Antonyms

### Synonyms for counterexample

## Phrases with counterexample

a technique used in mathematics and logic to prove the validity of a statement by showing that its negation leads to a contradiction

Example

The counterexample method is often used in proving theorems in mathematics.

the fact that a counterexample exists to a statement or hypothesis, indicating that it is false

Example

The existence of counterexamples is crucial in disproving conjectures in mathematics.

a property of a mathematical object or system that can be disproved by finding a counterexample

Example

The counterexample property of a function is important in determining its domain and range.

## Origins of counterexample

from 'counter-' meaning 'against' + 'example'

## Summary: counterexample in Brief

'Counterexample' [ˌkaʊntərɪɡˈzɑːmp(ə)l] refers to an example that opposes or contradicts a hypothesis or theory. It is a powerful tool in logic and mathematics, used to disprove statements or prove the opposite of a given proposition. The 'counterexample method' is a technique used in mathematics and logic to prove the validity of a statement by showing that its negation leads to a contradiction.