Is it true that the set $P$ of all injections $\mathbb{N} \to \mathbb{N}$ is equal to the set $\mathbb{R}$

Asked Apr 21 '20 at 15:51

Active Apr 21 '20 at 16:30

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$\mathbb{R}$-real. $\mathbb{N}$-natural. Is it true that the set $P$ of all injections $\mathbb{N} \to \mathbb{N}$ is equal to the set $R$?

edited Apr 21 '20 at 16:30

asked Apr 21 '20 at 15:51

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It is suspicious that this exact question was asked 7 minutes ago here. – JMoravitz Apr 21 '20 at 15:52
The sets are not equal, only their cardinalities are. – celtschk Apr 21 '20 at 16:17

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