Here, N refers to the set of all natural numbers, and P refers to the power set of N. Let the number of finite subsets be equal to F. I am having trouble representing the cardinality of the power set. :)
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Yes thank you! I will check it out – Bryce Wilkings Jun 04 '20 at 23:16
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Welcome to Mathematics Stack Exchange. Usually $\mathcal P(\mathbb N)$, the power set of $\mathbb N$, has all subsets of $\mathbb N$, not just finite ones – J. W. Tanner Jun 04 '20 at 23:17
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Well this one represents finite ones :) – Bryce Wilkings Jun 04 '20 at 23:19
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I have shown that the set of finite subsets of N is countable. How do I go from there to show that it has the same cardinality as |N| – Bryce Wilkings Jun 04 '20 at 23:46
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1@Bryce what does “countable” mean? – spaceisdarkgreen Jun 05 '20 at 00:10