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The Sorites Paradox and Fuzzy Logic
- 1.0405075 - UIVT-O 20030078 RIV GB eng J - Journal Article
Hájek, Petr - Novák, V.
The Sorites Paradox and Fuzzy Logic.
International Journal of General Systems. Roč. 32, č. 4 (2003), s. 373-383. ISSN 0308-1079. E-ISSN 1563-5104
R&D Projects: GA AV ČR IAA1030004
Institutional research plan: AV0Z1030915
Keywords : sorites paradox * basic fuzzy logic * fuzzy logic in narrow sense * Peano arithmetic
Subject RIV: BA - General Mathematics
Impact factor: 0.172, year: 2003
The sorites paradox (interpreted as the paradox of small natural numbers) is analyzed using mathematical fuzzy logic. In the first part, we present the crisp Peano arithmetic extended by a fuzzy predicate of feasibility. Then we give examples of possible semantics of At and examples of semantics of feasible numbers. In the second part, we present an analysis of the sorites paradox within fuzzy logic with evaluated syntax.
Permanent Link: http://hdl.handle.net/11104/0125290
Number of the records: 1