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I read that the there are uncountably many different sets of natural numbers. How can you prove that?

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marked as duplicate by Gerry Myerson, Adriano, Andrey Rekalo, azimut, Davide Giraudo Aug 8 '13 at 9:43

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up vote 3 down vote accepted

It is an immediate consequence of Cantor's Theorem, which is proved here.

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