Q: Can a theorem have a counterexample?

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Counterexample

A counterexample.

a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."

a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."

non-example, counterexample,

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No. Not if it is a true statement. Identities and tautologies cannot have a counterexample.

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A counterexample.

Counterexample

a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."

when it rains it snows

IF TX then Plano

non-example, counterexample,

There is no counterexample because the set of whole numbers is closed under addition (and subtraction).

Mercury and Venus is.

It's a counterexample.