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Remarks on Cantor's diagonalization proof of 1891

2004/03/17 by Slavica Vlahovic, Vlahovic, Slavica, Branislav Vlahović +2
Computer Science · Mathematics · #11B05 #Benford’s Law and Fraud Detection #Computability, Logic, AI Algorithms #FOS: Mathematics #General Mathematics (math.GM) #History and Theory of Mathematics #math.GM #msc:11B05

paper · pdf · doi:10.48550/arxiv.math/0403288

5 pages

arxiv created 2004/03/17 · openalex publication_date 2004/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Remarks on the Cantor's nondenumerability proof of 1891 that the real numbers are noncountable will be given. By the Cantor's diagonal procedure, it is not possible to build numbers that are different from all numbers in a general assumed denumerable sequence of all real numbers. The numbers created on the diagonal of the assumed sequence are not different from the numbers in the assumed denumerable sequence or they do not belong to that sequence.

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