If the set of odd numbers is a subset of N then surely it is smaller than N – math.stackexchange.com

If the set of odd numbers is a subset of N then surely it is smaller than N – math.stackexchange.com

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I have been studying Cantor's theorem, and I follow entirely that the set of natural numbers $\mathbb{N}$ is countable, as is the set of odd numbers (let's call it $\mathbb{O}$). I understand his ...

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