(adsbygoogle = window.adsbygoogle || []).push({}); The problem statement, all variables and given/known data

Prove that there are no mappings from a set S onto S*, where S* is the power set of S.

The attempt at a solution

This begs proof by contradiction: Let f be a mapping from S onto S*. Then for every A in S*, there is an a in S with f(a) = A. I don't know how to proceed from here. Any tips?

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# Onto Mappings from a Set to Its Power Set

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