Power set | Wikipedia audio article
Channel: wikipedia tts
Date: 10/05/2019

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Power_set


00:00:45 1 Example
00:01:43 2 Properties
00:01:55 3 Representing subsets as functions
00:04:19 4 Relation to binomial theorem
00:06:41 5 Algorithms
00:08:07 6 Subsets of limited cardinality
00:08:38 7 Power object
00:09:05 8 Functors and quantifiers
00:09:26 9 See also
00:09:37 10 Notes
00:09:54 11 References
00:13:41 12 External links
00:14:10 See also



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SUMMARY
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In mathematics, the power set (or powerset) of any set S is the set of all subsets of S, including the empty set and S itself, variously denoted as P(S), 𝒫(S), ℘(S) (using the "Weierstrass p"), P(S), ℙ(S), or, identifying the powerset of S with the set of all functions from S to a given set of two elements, 2S. 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.Any subset of P(S) is called a family of sets over S.