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  2. Dictionary

    coun·ter·ex·am·ple
    [ˈkoun(t)əriɡˌzampəl]
    noun
    counterexample (noun) · counterexamples (plural noun) · counter example (noun) · counter examples (plural noun)
    1. an example that opposes or contradicts an idea or theory:
      "the media presented him as a counterexample to the common stereotypes"
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  3. People also ask
    What is an example of a counterexample?A counterexample is a specific example for which a statement is untrue. The existence counterexample proves the statement is false, even if it is often, mostly, or almost entirely true. Counterexamples are incredibly important for logic, which is, in turn, important because it provides the foundation for almost all mathematics. This section covers:
    What is a counterexample to a mathematical statement?A counterexample to a mathematical statement is an example that satisfies the statement's condition (s) but does not lead to the statement's conclusion. Identifying counterexamples is a way to show that a mathematical statement is false. When identifying a counterexample, Identify the condition and conclusion of the statement.
    How do you identify a counterexample?Identifying counterexamples is a way to show that a mathematical statement is false. When identifying a counterexample, Identify the condition and conclusion of the statement. Eliminate choices that don't satisfy the statement's condition. For the remaining choices, counterexamples are those where the statement's conclusion isn't true.
    Why is 2 a counterexample?Teacher: 2 is a prime number. It meets the statement but does not meet the conclusion that it is odd. Thus 2 is the counterexample. Thus the counterexample helps us in disproving the mathematical conjectures. How can we identify Counterexamples? Counterexamples are used to prove that a statement is invalid.
     
  4. Example that refutes an assertion or claim
    • According to 2 sources
    an example that refutes an assertion or claim. counterexample / ˈkaʊntərɪɡˌzɑːmpəl / noun an example or fact that is inconsistent with a hypothesis and may be used in argument against it
    coun•ter•ex•am•ple (koun′ tər ig zam′pəl, -zäm′-), n. an example that refutes an assertion or claim.
     
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  6. WebDefinition of. Counterexample. An example that disproves a statement (shows that it is false). Example: the statement "all dogs are hairy" can be proved false by finding just one hairless dog (the counterexample) like …

  7. Counterexample - Cuemath

    WebCounterexample Definition. A counterexample is an example that meets the mathematical statement's condition but does not lead to the statement's conclusion. Counterexample Math. Instead of showing that …

  8. 11 Examples of a Counterexample - Simplicable

  9. Counterexample in Mathematics | Definition, Proofs & Examples

  10. Counterexample - definition of counterexample by The Free …

  11. counterexample - Wiktionary, the free dictionary

  12. counterexample - WordReference.com Dictionary of English

  13. Counterexample: Definitions and Examples - Club Z! Tutoring

  14. 6.7: Proof by counterexample - Mathematics LibreTexts

  15. Counter-example - definition of Counter-example by The Free …

  16. Counter-examples - FutureLearn

  17. counter-example noun - Oxford English Dictionary