Infinite sets are non-denumerable
综合数学
2009-09-29 v5
摘要
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.
引用
@article{arxiv.math/0305310,
title = {Infinite sets are non-denumerable},
author = {W. Mueckenheim},
journal= {arXiv preprint arXiv:math/0305310},
year = {2009}
}