Beyond Uncountable

Details Beyond Uncountable Beyond Uncountable

2003-12-18

arxiv.org/abs/math/0312360v2

Mathematics

General Mathematics

7 pages, the first version of this article has been posted to sci.math in 1998, for more information see http://it.geocities

Scientific paper

In 1891 Cantor presented two proofs with the purpose to establish a general theorem that any set can be replaced by a set of greater power. Cantor's power set theorem can be considered to be an extension of Cantor's 1891 second proof and its argument makes use of a well-known self-referring statement. In this article it is shown that, defining the relative complement of the self-referring statement, Cantor's power set theorem cannot be derived. Moreover, it is given a refutation of the first proof, the so-called Cantor's diagonal argument.

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