Three beliefs that lend illusory legitimacy to Cantor's diagonal argument
| dc.creator | Anand, Bhupinder Singh | |
| dc.date | 2003-04-21 | |
| dc.date | 2003-05-17 | |
| dc.date.accessioned | 2026-07-07T04:57:10Z | |
| dc.date.available | 2026-07-07T04:57:10Z | |
| dc.description | Whatever other beliefs there may remain for considering Cantor's diagonal argument as mathematically legitimate, there are three that, prima facie, lend it an illusory legitimacy; they need to be explicitly discounted appropriately. The first, Cantor's diagonal argument defines a non-countable Dedekind real number; the second, Goedel uses the argument to define a formally undecidable, but interpretively true, proposition; and the third, Turing uses the argument to define an uncomputable Dedekind real number. | |
| dc.description | v2; introduced standardised ACI compliant notation for citations; 15 pages; an HTML version is available at http://alixcomsi.com/Three_beliefs.htm | |
| dc.identifier | https://arxiv.org/abs/math/0304310 | |
| dc.identifier | http://arxiv.org/abs/math/0304310 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67173 | |
| dc.subject | General Mathematics | |
| dc.subject | 03B10 | |
| dc.title | Three beliefs that lend illusory legitimacy to Cantor's diagonal argument | |
| dc.type | text |