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)

Bert Baumgaertner
University of Idaho
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
Keywords Categorization  Transitivity  Membership degrees  Continuity  Indistinguishability  Vagueness  Classification rules
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DOI 10.1007/s11023-013-9328-0
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References found in this work BETA

Vagueness.Timothy Williamson - 1994 - Routledge.
Vagueness, Truth and Logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Conceptual Spaces: The Geometry of Thought.Peter Gärdenfors - 2000 - Tijdschrift Voor Filosofie 64 (1):180-181.
Cognitive Representations of Semantic Categories.Eleanor Rosch - 1975 - Journal of Experimental Psychology: General 104 (3):192-233.
Vagueness: A Conceptual Spaces Approach.Igor Douven, Lieven Decock, Richard Dietz & Paul Égré - 2013 - Journal of Philosophical Logic 42 (1):137-160.

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