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counterexample

[ˌkaʊntərɪɡˈzɑːmp(ə)l]

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.

  • existence of counterexamples

    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'

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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.