<P> 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 , 2 . 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 . </P>
<P> 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 , 2 . 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 . </P>
the set of all possible subsets of a set is called
the set of all possible subsets of a set is called
the power set ( or powerset )
the power set ( or powerset )