Set Theory and Logic

    

A Discussion on Cantor's Proof That Real Numbers Are Uncountable and a Proof That Real Numbers Are Countable

Authors: Xiaowen Tan

This paper points out errors or contradictions in Cantor's two proofs that real numbers are uncountable and gives a proof that they are countable. I also give a proof that the power set of the natural number set is countable and point out contradictions in the proof of Cantor's theorem.

Comments: 2 Pages. (Note by viXra.org Admin: Please cite and list scientific references)

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[v1] 2025-09-08 14:58:57

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