Beyond Uncountable
| dc.creator | Cattabriga, Paola | |
| dc.date | 2003-12-18 | |
| dc.date | 2006-07-03 | |
| dc.date.accessioned | 2026-07-07T06:35:52Z | |
| dc.date.available | 2026-07-07T06:35:52Z | |
| dc.description | 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. | |
| dc.description | 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/ | |
| dc.identifier | https://arxiv.org/abs/math/0312360 | |
| dc.identifier | http://arxiv.org/abs/math/0312360 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99926 | |
| dc.subject | General Mathematics | |
| dc.subject | 03Exx, 03Bxx | |
| dc.title | Beyond Uncountable | |
| dc.type | text |