On power sets
| dc.creator | Ferreira, Jailton C. | |
| dc.date | 2001-11-28 | |
| dc.date | 2002-02-17 | |
| dc.date.accessioned | 2026-07-07T04:44:49Z | |
| dc.date.available | 2026-07-07T04:44:49Z | |
| dc.description | This work presents theorems which state (i) Z is a proper subset for any bijection f between A and Z, where Z is contained in P(A), A is a non-finite set and |Z|=|A|, and (ii) being Z a proper subset of P(A) nothing affirms or denies that |P(A)|>|A|. Russell's paradox is examined and it is shown that the set of all the ordinary sets does not exist. A mistake in Cantor's proof on cardinality of power sets is shown. | |
| dc.description | 3 pages. Theorem 3 withdrawn of this version | |
| dc.identifier | https://arxiv.org/abs/math/0111291 | |
| dc.identifier | http://arxiv.org/abs/math/0111291 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62748 | |
| dc.subject | General Mathematics | |
| dc.title | On power sets | |
| dc.type | text |