Question

what is a power set? ​

Answer 1

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• In mathematics, the power set of a set S is the set of all subsets of S, including the empty set and S itself. In axiomatic set theory, the existence of the power set of any set is postulated by the axiom of power set. The powerset of S is variously denoted as P(S), (S), P(S), ℙ(S), ℘, or 2S.

Answer 2

In mathematics, the power set of a set S is the set of all subsets of S, including the empty set and S itself. In axiomatic set theory, the existence of the power set of any set is postulated by the axiom of power set. The powerset of S is variously denoted as P(S), (S), P(S), ℙ(S), ℘, or 2S.

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