Remarks on Cantor's diagonalization proof of 1891

Details Remarks on Cantor's diagonalization proof of 1891 Remarks on Cantor's diagonalization proof of 1891

2004-03-17

arxiv.org/abs/math/0403288v1

Mathematics

General Mathematics

5 pages

Scientific paper

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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