Show - not using Theorem 2.10 - that (# mathscr{P}(mathbb{N})># mathbb{N}). Conclude that there are more than

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Show - not using Theorem 2.10 - that \(\# \mathscr{P}(\mathbb{N})>\# \mathbb{N}\). Conclude that there are more than countably many maps \(f: \mathbb{N} ightarrow \mathbb{N}\).

[ use the diagonal method.]

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