Set Theory and Logic


Failure of the Diagonal Argument

Authors: Wolfgang Mückenheim

It is shown that Cantor's diagonal argument fails because either there is no actual infinity and hence no defined diagonal number or there is actual infinity but the diagonal number cannot be distinguished from all real numbers of the Cantor list. Further it is shown by another argument that there are not uncountably many paths in the complete infinite Binary Tree.

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[v1] 2017-03-13 04:06:52

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