Fuzziness of concepts and concepts of fuzziness

Synthese 75 (3):349 - 372 (1988)
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It has been a vexing question in recent years whether concepts are fuzzy. In this paper several views on the fuzziness of concepts are pointed out to have stemmed from dubious concepts of fuzziness. The underlying notions of the roles feasibly played byprototype, set, andprobability in modeling concepts strongly suggest that the controversy originates from a vague relation between intuitive and mathematical ideas in the cognitive sciences. It is argued that the application of fuzzy sets cannot resolve this vagueness since they are one sided,viz., defined on sets. An alternative definition based on classes (in the sense of axiomatic set theory) is proposed.



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Logical foundations of probability.Rudolf Carnap - 1950 - Chicago]: Chicago University of Chicago Press.
Meaning and Necessity: A Study in Semantics and Modal Logic.Rudolf Carnap - 1947 - Chicago, IL, USA: University of Chicago Press.
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Features of similarity.Amos Tversky - 1977 - Psychological Review 84 (4):327-352.
Can human irrationality be experimentally demonstrated?L. Jonathan Cohen - 1981 - Behavioral and Brain Sciences 4 (3):317-370.

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