The number of end points of the cantor set double each time an iteration is performed, therefore the total number of end points after infinite iterations is ~ 2^N where N is cantor's aleph null. 2^N is, however, c (the number of the continuum) and is therefore uncountable but we know that the end points of the cantor set are countable. Hence the apparent contradiction. Any help?(adsbygoogle = window.adsbygoogle || []).push({});

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# Cantor set end points are and are not countable!

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