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10 cards from this deck
A method to disprove a statement using one example.
It asserts a property holds for every element in a set.
Find a counterexample that does not satisfy the property.
The number 6 is even but not divisible by 4.
A specific case that shows a statement is false.
The number 2 is prime and even, disproving the claim.
0 and 1 show 02=00^2 = 002=0 and 12=11^2 = 112=1 are not greater.
It invalidates the entire 'for all' assertion.
For n = 16, it equals 289, which is not prime.
They refine claims and improve theorem accuracy.
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