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.
