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A fuzzy and intuitionistic fuzzy account of the Liar paradox
| dc.contributor.author | Nikolov, Nicolai G. |
| dc.date.accessioned | 2007-10-02T09:18:01Z |
| dc.date.available | 2007-10-02T09:18:01Z |
| dc.date.issued | 2002 |
| dc.identifier.issn | 1134-5632 |
| dc.identifier.uri | http://hdl.handle.net/2099/3615 |
| dc.description.abstract | The Liar paradox, or the sentence "What I am now saying is false." and its various guises have been attracting the attention of logicians and linguists since ancient times. A commonly accepted treatment of the Liar paradox [7,8] is by means of Situation semantics, a powerful approach to natural language analysis. It is based on the machinery of non-well-founded sets developed in [1]. In this paper we show how to generalize these results including elements of fuzzy and intuitionistic fuzzy logic [3,4]. Basing on the results, a way is proposed towards solving the problem of modelling the two levels of Situation theory -- infons and propositions -- with a single one retaining the specific features of the two-levels logics. |
| dc.format.extent | 25-32 |
| dc.language.iso | eng |
| dc.publisher | Universitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica |
| dc.relation.ispartof | Mathware & soft computing . 2002 Vol. 9 Núm. 1 |
| dc.rights | Reconeixement-NoComercial-CompartirIgual 3.0 Espanya |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
| dc.subject.other | Liar paradox |
| dc.subject.other | Intuitionistic fuzzy account |
| dc.subject.other | Situation theory |
| dc.title | A fuzzy and intuitionistic fuzzy account of the Liar paradox |
| dc.type | Article |
| dc.subject.lemac | Lògica matemàtica |
| dc.subject.ams | Classificació AMS::03 Mathematical logic and foundations::03B General logic |
| dc.rights.access | Open Access |
