Smooth Yet Discrete: Modeling Both Non-transitivity and the Smoothness of Graded Categories With Discrete Classification Rules [Book Review]

Minds and Machines 24 (3):353-370 (2014)
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Abstract

Many of our categorization experiences are non-transitive. For some objects a, b and c, a and b can appear indistinguishable, and likewise b and c, but a and c can appear distinguishable. Many categories also appear to be smooth; transitions between cases are not experienced as sharp, but rather as continuous. These two features of our categorization experiences tend to be addressed separately. Moreover, many views model smoothness by making use of infinite degrees. This paper presents a methodological strategy that shows how solving the transitivity problem first can thereby introduce explanatory resources that feed into an account of smoothness without having to make use of infinite degrees

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Bert Baumgaertner
University of Idaho

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References found in this work

Vagueness.Timothy Williamson - 1996 - New York: Routledge.
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Conceptual Spaces: The Geometry of Thought.Peter Gärdenfors - 2000 - Tijdschrift Voor Filosofie 64 (1):180-181.
Wang's paradox.Michael Dummett - 1975 - Synthese 30 (3-4):201--32.
Vagueness: A Reader.Rosanna Keefe & Peter Smith (eds.) - 1996 - MIT Press.

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