Let S be a set and let P(S) be the set of all subsets of S. Show that S is smaller than
Chapter 7, Problem 35(choose chapter or problem)
Let S be a set and let \(\mathscr{P}(S)\) be the set of all subsets of S. Show that S is “smaller than” \(\mathscr{P}(S)\) in the sense that there is a one-to-one function from S to \(\mathscr{P}(S)\) but there is no onto function from \(\mathscr{P}(S)\) to S.
Text Transcription:
mathscr P(S)
mathscr P(S)
mathscr P(S)
mathscr P(S)
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