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jagatuba
 2 years ago
Best ResponseYou've already chosen the best response.3In logic, and especially in its applications to mathematics and philosophy, a counterexample is an exception to a proposed general rule. For example, consider the proposition "all students are lazy". Because this statement makes the claim that a certain property (laziness) holds for all students, even a single example of a diligent student will prove it false. Thus, any hardworking student is a counterexample to "all students are lazy". More precisely, a counterexample is a specific instance of the falsity of a universal quantification (a "for all" statement). Even though the word all is not used in the statement, it is implied. Hence, "All cars have four wheels." Find an example that that proves this statement false and you have your answer.
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