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http://hdl.handle.net/10077/3891| Title: | Stating Infinity in Set/Hyperset Theory | Authors: | Omodeo, Eugenio G. Policriti, Alberto Tomescu, Alexandru I. |
Keywords: | Satisfiability; Decision Algorithms; Infinity Axiom; Computable Set Theory; Non-Well-Founded Sets | Issue Date: | 2010 | Publisher: | EUT Edizioni Università di Trieste | Source: | Eugenio G. Omodeo, Alberto Policriti, Alexandru I. Tomescu, "Stating Infinity in Set/Hyperset Theory", in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 42 (2010), pp. 205-210. | Series/Report no.: | Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics;42 (2010) | Abstract: | It is known that the Infinity Axiom can be expressed, even if the Axiom of Foundation is not assumed, in a logically simple form, by means of a formula involving only restricted universal quantifiers. Moreover, with Aczel's Anti-Foundation Axiom superseding von Neumann's Axiom of Foundation, a similar formula has recently emerged, which enjoys the additional property that it is satisfied only by (infinite) ill-founded sets. We give here new short proofs of both results. |
Type: | Article | URI: | http://hdl.handle.net/10077/3891 | ISSN: | 0049-4704 |
| Appears in Collections: | Rendiconti dell'Istituto di Matematica dell'Università di Trieste: an International Journal of Mathematics vol.42 (2010) |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Omodeo Policriti Tomescu RendMat42.pdf | 196.07 kB | Adobe PDF |  View/Open |
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