Publication
The Finitistic Consistency of Heck’s Predicative Fregean System
| dc.contributor.author | Cruz-Filipe, L. | |
| dc.contributor.author | Ferreira, Fernando | |
| dc.date.accessioned | 2024-09-11T15:28:49Z | |
| dc.date.available | 2024-09-11T15:28:49Z | |
| dc.date.issued | 2015 | |
| dc.description.abstract | Frege’s theory is inconsistent (Russell’s paradox). However, the predicative version of Frege’s system is consistent. This was proved by Richard Heck in 1996 using a model-theoretic argument. In this paper, we give a finitistic proof of this consistency result. As a consequence, Heck’s predicative theory is rather weak (as was suspected). | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | Luís Cruz-Filipe. Fernando Ferreira. "The Finitistic Consistency of Heck’s Predicative Fregean System." Notre Dame J. Formal Logic 56 (1) 61 - 79, 2015. https://doi.org/10.1215/00294527-2835110 | pt_PT |
| dc.identifier.doi | https://doi.org/10.1215/00294527-2835110 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.26/52045 | |
| dc.language.iso | eng | pt_PT |
| dc.subject | consistency | pt_PT |
| dc.subject | Fregean arithmetic | pt_PT |
| dc.subject | strict predicativity | pt_PT |
| dc.title | The Finitistic Consistency of Heck’s Predicative Fregean System | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 79 | pt_PT |
| oaire.citation.startPage | 61 | pt_PT |
| oaire.citation.volume | 56, nº 1 | pt_PT |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
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