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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 a counterexample in math?A counterexample in math is very similar to a counterexample in real life. The main difference is that counterexamples in math are used to disprove mathematical theorems. A mathematical theorem is an "If-Then" statement. It usually states that "If something is true, then this other thing is true."
    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:
    Why is it called a counterexample?Such an example is called a counterexample because it's an example that counters, or goes against, the statement's conclusion. What skills are tested? • Identifying a counterexample to a mathematical statement How can we identify counterexamples? When identifying a counterexample, follow these steps:
    Which statement is a counterexample?Consider the following statement: If a food is a fruit, then it is an apple. Now, consider this statement: Mango is a food. It is a fruit, but it is not an apple. Therefore, the mango is the counterexample, thereby making the first statement invalid. Counterexamples are used in math to contradict a statement.
     
  4. Counterexample Definition & Meaning - Merriam-Webster

     
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    WEBLesson Plan. What is a Counterexample? Counterexample Definition. A counterexample is an example that meets the mathematical statement's condition but does not lead to the statement's conclusion. …

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