Set Theory and Logic

    

A Rigorous Examination on Cantors Diagonal Argument

Authors: Hongyi Li

It was proved in this paper that diagonal argument actually only proves that the real numbers can not be listed as complete, which has nothing to do with if the real numbers are countable or not. The confusion of the two different concepts - Countable and “complete listing” - is the reason why the diagonal argument fails. It was proved that real numbers are countable.

Comments: 5 Pages.

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Submission history

[v1] 2021-06-28 17:45:34

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