Proposal of a Methodology Based on Fuzzy Logic to Explain Soritestype Reasoning
DOI:
https://doi.org/10.18270/rcfc.v18i36.2273Keywords:
Paradox, sorites, fuzzy logic, consistency, soundnessAbstract
The sorites paradox is widely known for showing the contradictory consequences that reasoning with vague terms might have. Important analytic philosophers like Bertrand Russell and Gottlob Frege strongly supported the idea that contradictions like those in the sorites paradox are due to the vagueness of common language. This work attempts to propose a methodology based on fuzzy logic that shows that the sorites type reasoning are consistent and sound however the vague terms it might contain.
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Hájek, P., & Novák†, V. (2003). The sorites paradox and fuzzy logic. International Journal of General Systems, 32(4), 373–383. http://doi.org/10.1080/0308107031000152522
Hyde, D. (1997). Sorites Paradox. Retrieved from http://plato.stanford.edu/entries/sorites-paradox/
Jaśkowski, S. (1934). On the rules of suppositions in formal logic. Studia Logica, 1(1), 5–32.
Kamp, H. (1981). Aspects of Philosophical Logic. (U. Mönnich, Ed.). Dordrecht: Springer Netherlands. http://doi.org/10.1007/978-94-009-8384-7
Kim, J. (1996). A Companion to Metaphysics. Philosophy (Vol. 105). http://doi.org/10.2307/2185712
Peña, L., & Vásconez, M. (1996). ¿Qué es una ontología gradual? Universidad de Santiago de Compostela. Retrieved from http://digital.csic.es/handle/10261/10555
Rescher, N. (2001). Paradoxes: Their Root, Range and Resolution. Open Court Publishing. Chicago, Illinois. http://doi.org/10.1017/CBO9781107415324.004
Russell, B. (1923). Vagueness. Australasian Journal of Psychology and Philosophy, 1(2), 84–92. http://doi.org/10.1080/00048402308540623
Weber, Z., & Colyvan, M. (2010). A topological sorites. The Journal of Philosophy, 107(6), 311–325.
Zadeh, L. (1965). Fuzzy Sets. Information and Control. http://doi.org/10.1109/2.53
Zadeh, L. (1975a). The concept of a linguistic variable and its application to approximate reasoning—I. Information Sciences, 8(4), 301–357. http://doi.org/10.1016/0020-0255(75)90046-8
Zadeh, L. (1975b). The concept of a linguistic variable and its application to approximate reasoning—II. Information Sciences, 8(4), 301–357.
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