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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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    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 does counter mean?Need even more definitions? Subscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free! The meaning of COUNTER is a piece (as of metal or plastic) used in reckoning or in games. How to use counter in a sentence.
    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.
     
  4. In logic (especially in its applications to mathematics and philosophy ), a counterexample is an exception to a proposed general rule or law, and often appears as an example which disproves a universal statement.

    en.wikipedia.org/wiki/Counterexample

    Definition: A counter-example to an argument is a situation which shows that the argument can have true premises and a false conclusion. If the argument being evaluated is deductive, then we can show it to be invalid and, therefore, bad if we can describe a counter-example.

    www.futurelearn.com/info/courses/logical-and-critic…
     
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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 -- from Wolfram MathWorld

  8. Counterexample - Cuemath

  9. 2.6: Conjectures and Counterexamples - K12 LibreTexts

  10. counterexample - Wiktionary, the free dictionary

  11. Counterexample in Mathematics | Definition, Proofs & Examples

  12. 6.7: Proof by counterexample - Mathematics LibreTexts

  13. What is a Counterexample? (and why philosophers use fictional …

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

  15. Counterexample { Philosophy Index }

  16. counter-example noun - Oxford English Dictionary

  17. Counter Definition & Meaning - Merriam-Webster