Power set

In mathematics, the power set of a set S, written as  or , is the set of all subsets of S. In terms of cardinality, a power set is larger than the set it originates from. If S is a finite set with n elements, then  would have  elements.

Examples

 The power set of  is .
 The power set of  is .

 Related pages 

 Zermelo–Fraenkel set theory, which includes an axiom on power set

 References 

Category:Set theory
Category:Algebra