Journal of Philosophical Logic 41 (2):347-385 (2012)

Authors
Pablo Cobreros
Universidad de Navarra
Abstract
In this paper we investigate a semantics for first-order logic originally proposed by R. van Rooij to account for the idea that vague predicates are tolerant, that is, for the principle that if x is P, then y should be P whenever y is similar enough to x. The semantics, which makes use of indifference relations to model similarity, rests on the interaction of three notions of truth: the classical notion, and two dual notions simultaneously defined in terms of it, which we call tolerant truth and strict truth. We characterize the space of consequence relations definable in terms of those and discuss the kind of solution this gives to the sorites paradox. We discuss some applications of the framework to the pragmatics and psycholinguistics of vague predicates, in particular regarding judgments about borderline cases.
Keywords Vagueness  Sorites Paradox  Tolerance  Logical Consequence  Truth  Non-transitivity  Trivalent logics  Paraconsistent logics
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Reprint years 2012
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DOI 10.1007/s10992-010-9165-z
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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.
An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - Bulletin of Symbolic Logic 14 (4):544-545.

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Citations of this work BETA

Conditional Heresies.Fabrizio Cariani & Simon Goldstein - 2018 - Philosophy and Phenomenological Research.

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