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Does every statement have a counterexample?
No. Not if it is a true statement. Identities and tautologies cannot have a counterexample.
Can a theorem have a counterexample?
No, a theorem cannot have a counterexample, as a theorem is a statement that has been proven to be true under a specific set of conditions. A counterexample, on the other hand, demonstrates that a statement or conjecture is false by providing an instance where the statement does not hold. If a counterexample exists, the statement is not a theorem.
What is an example for which a conjecture is incorrect?
A counterexample.
What is a case in which a conjecture is not true?
Counterexample
What is a counterexample?
a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."
What a counterexample?
a number wich disproves a proposition For example, theprime number 2 is a counterexample to the statement "All prime numbers are odd."
What is an example of a counterexample in geometry?
IF TX then Plano
What is a antonym for example?
non-example, counterexample,
What is an example of a counterexample for the difference of two whole numbers is a whole number?
There is no counterexample because the set of whole numbers is closed under addition (and subtraction).
Is a counterexample of all planets have moons?
Yes, the planet Mercury does not have any moons. This serves as a counterexample to the statement "all planets have moons."
A counterexample is sufficient to prove that a conjecture is false?
Yes.
What is the counterexample of all parallelograms have congruent diagonals?
Tiiangle
