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Post Reopened by Joel David Hamkins, Anton Petrunin, José Figueroa-O'Farrill, Timothy Chow, Andres Caicedo
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Post Closed as "not a real question" by Bill Johnson, Martin Brandenburg, Robin Chapman, Harry Gindi, Kevin Buzzard
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Recently, I learnt in my analysis class the proof of the uncountability of the reals via the Nested Interval Theorem. At first, I was excited to see a variant proof (as it did not use the diagonal argument explicitly). However, as time passed, I began to see that the proof was just the old one veiled under new terminology. So, till now I believe that any proof of the uncountability of the reals must uses Cantor'sdiagonal use Cantor's diagonal argument. Is my belief justified? Thank you. |
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