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In mathematics, a finite set is a set that is not infinite. A finite set has a certain number of elements. The elements of the set can be numbered like {1, 2, ..., n} and n must either be a natural number or zero. An infinite set is a set with an unlimited number of elements.

Another definition is to say a set is finite if its cardinality (the number of its elements) is a natural number. A set with n elements is called an n-set.