The Notion "Pathology" in Set Theory
| dc.creator | DePauli-Schimanovich, Werner | |
| dc.date | 2008-07-27 | |
| dc.date.accessioned | 2026-07-07T09:53:12Z | |
| dc.date.available | 2026-07-07T09:53:12Z | |
| dc.description | When we study the paradoxes of set theory we find out that there are mainly 2 types: the pathologies and the antinomies. These 2 notions are made precise and compared with the somehow inductively definable concept "abnormal". (See my paper "Naive Axiomatic Mengenlehre for Experiments" in arXiv.) In the following 5 Patho Theses are discussed in order to formalize this notion of pathology. This allows us to define formally the property "Hereditary-non-Pathological" for well-formed formulas. With this property the system NACT* of Naive Axiomatic Class Theory is constructed, which has a "unique maximal" universe (in a special sense). | |
| dc.description | 21 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0807.4321 | |
| dc.identifier | http://arxiv.org/abs/0807.4321 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/165869 | |
| dc.subject | Logic | |
| dc.title | The Notion "Pathology" in Set Theory | |
| dc.type | text |