Power set
id:
power-set-203-9612887
title:
Power set
text:
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), 𝒫(S), P(S), P, ℘, or 2S.
Any subset of P(S) is called a family of sets over S.
brand slug:
wiki
category slug:
encyclopedia
description:
Mathematical set containing all subsets of a given set
original url:
https://en.wikipedia.org/wiki/Power_set
date created:
2001-07-16T11:30:47Z
date modified:
2024-09-09T19:17:34Z
main entity:
{"identifier":"Q205170","url":"https://www.wikidata.org/entity/Q205170"}
image:
{"content_url":"https://upload.wikimedia.org/wikipedia/commons/e/ea/Hasse_diagram_of_powerset_of_3.svg","width":429,"height":325}
fields total:
13
integrity:
16