Power set
Set (in mathematics) containing all subsets of a given set
Nº Q205170 ★★
Uncommon · Knowledge
Power set
Set (in mathematics) containing all subsets of a given set
In mathematics, the power set (or powerset) of a set S is the set of all subsets of S, including the empty set and S itself. In axiomatic set theory (as developed, for example, in the ZFC axioms), the existence of the power set of any set is postulated by the axiom of power set.
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From Wikipedia
In mathematics, the power set (or powerset) of a set S is the set of all subsets of S, including the empty set and S itself. In axiomatic set theory (as developed, for example, in the ZFC axioms), 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), 𝒫(S), P(S), P ( S ) {\displaystyle \mathbb {P} (S)} , or 2S. Any subset of P(S) is called a family of sets over S.
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