Uncountable sets in countable models of ZFC – math.stackexchange.com

Uncountable sets in countable models of ZFC – math.stackexchange.com

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If we assume ZFC to be consistent we have, by the Löwenheim-Skolem theorem, the existence of a countable model $\mathcal{U}_0$ of ZFC. In $\mathcal{U}_0$ there is a infinite ordinal, that is a ...

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