Synthese 194 (10):3837-3865 (2017)

Abstract
This paper explores the idea that vague predicates like “tall”, “loud” or “expensive” are applied based on a process of analog magnitude representation, whereby magnitudes are represented with noise. I present a probabilistic account of vague judgment, inspired by early remarks from E. Borel on vagueness, and use it to model judgments about borderline cases. The model involves two main components: probabilistic magnitude representation on the one hand, and a notion of subjective criterion. The framework is used to represent judgments of the form “x is clearly tall” versus “x is tall”, as involving a shift of one’s criterion, and then to derive observed patterns of acceptance for borderline contradictions, namely sentences of the form “x is tall and not tall”, relative to the acceptance of their conjuncts
Keywords Vagueness  Probability  Analog versus digital  Borderline contradictions  Strict-tolerant logic  Subjectivity
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DOI 10.1007/s11229-016-1092-2
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References found in this work BETA

Vagueness.Timothy Williamson - 1994 - London and New York: Routledge.
Vagueness.Timothy Williamson - 1995 - British Journal for the Philosophy of Science 46 (4):589-601.
Core Systems of Number.Stanislas Dehaene, Elizabeth Spelke & Lisa Feigenson - 2004 - Trends in Cognitive Sciences 8 (7):307-314.
Vagueness and Degrees of Truth.Nicholas J. J. Smith - 2008 - Oxford, England: Oxford University Press.

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Citations of this work BETA

Hyperintensionality and Normativity.Federico L. G. Faroldi - 2019 - Cham, Switzerland: Springer Verlag.

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