The resolution of two paradoxes by approximate reasoning using a fuzzy logic

Synthese 44 (3):397 - 420 (1980)

The method of approximate reasoning using a fuzzy logic introduced by Baldwin (1978 a,b,c), is used to model human reasoning in the resolution of two well known paradoxes. It is shown how classical propositional logic fails to resolve the paradoxes, how multiple valued logic partially succeeds and that a satisfactory resolution is obtained with fuzzy logic. The problem of precise representation of vague concepts is considered in the light of the results obtained
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DOI 10.1007/BF00413469
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Many-Valued Logic.Nicholas Rescher - 1969 - New York: Mcgraw-Hill.
Fuzzy Logic and Approximate Reasoning.L. A. Zadeh - 1975 - Synthese 30 (3-4):407-428.
Naive Set Theory.Paul R. Halmos & Patrick Suppes - 1960 - Journal of Philosophy 57 (15):512-513.
The Logic of Inexact Concepts.J. A. Gougen - 1969 - Synthese 19:325--73.
Fuzzy Sets.Lofti A. Zadeh - 1965 - Information and Control 8 (1):338--53.

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