Infinite sets are non-denumerable

Details Infinite sets are non-denumerable Infinite sets are non-denumerable

2003-05-22

arxiv.org/abs/math/0305310v5

Mathematics

General Mathematics

Scientific paper

Cantor's famous proof of the non-denumerability of real numbers does apply to
any infinite set. The set of exclusively all natural numbers does not exist.
This shows that the concept of countability is not well defined. There remains
no evidence for the existence of transfinite cardinal numbers.

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