Journal of Philosophical Logic 41 (2):347-385 (2012)
Authors | |
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.
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Keywords | Vagueness Sorites Paradox Tolerance Logical Consequence Truth Non-transitivity Trivalent logics Paraconsistent logics |
Categories | (categorize this paper) |
Reprint years | 2012 |
DOI | 10.1007/s10992-010-9165-z |
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References found in this work BETA
An Introduction to Non-Classical Logic: From If to Is.Graham Priest - 2008 - Cambridge University Press.
First-Order Logic.Raymond Merrill Smullyan - 1968 - Berlin, Germany: New York [Etc.]Springer-Verlag.
View all 37 references / Add more references
Citations of this work BETA
A Hierarchy of Classical and Paraconsistent Logics.Eduardo Alejandro Barrio, Federico Pailos & Damian Szmuc - 2020 - Journal of Philosophical Logic 49 (1):93-120.
Conservatively Extending Classical Logic with Transparent Truth.David Ripley - 2012 - Review of Symbolic Logic 5 (2):354-378.
Reaching Transparent Truth.Pablo Cobreros, Paul Égré, David Ripley & Robert van Rooij - 2013 - Mind 122 (488):841-866.
HYPE: A System of Hyperintensional Logic.Hannes Leitgeb - 2019 - Journal of Philosophical Logic 48 (2):305-405.
View all 112 citations / Add more citations
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