2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/99926In 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.7 pages, the first version of this article has been posted to sci.math in 1998, for more information see http://it.geocities.com/paola_cattabriga/General Mathematics03Exx, 03Bxxtext