Tolerant, Classical, Strict

Journal of Philosophical Logic 41 (2):347-385 (2010)
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
Categories (categorize this paper)
Reprint years 2012
DOI 10.1007/s10992-010-9165-z
Options
 Save to my reading list
Follow the author(s)
My bibliography
Export citation
Find it on Scholar
Edit this record
Mark as duplicate
Revision history
Request removal from index
Download options
Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 27,220
Through your library
References found in this work BETA
Vagueness.Timothy Williamson - 1994 - Routledge.
Vagueness, Truth and Logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Vagueness and Degrees of Truth.J. J. Smith Nicholas - 2008 - Oxford University Press.
First-Order Logic.Raymond M. Smullyan - 1968 - New York [Etc.]Springer-Verlag.
Vagueness: A Conceptual Spaces Approach.Igor Douven, Lieven Decock, Richard Dietz & Paul Égré - 2013 - Journal of Philosophical Logic 42 (1):137-160.

View all 21 references / Add more references

Citations of this work BETA
Vagueness and Order Effects in Color Categorization.Paul Egré, Vincent de Gardelle & David Ripley - 2013 - Journal of Logic, Language and Information 22 (4):391-420.
Penumbral Connections in Comparative Constructions.Heather Burnett - 2014 - Journal of Applied Non-Classical Logics 24 (1-2):35-60.
Naive Set Theory and Nontransitive Logic.David Ripley - 2015 - Review of Symbolic Logic 8 (3):553-571.

View all 10 citations / Add more citations

Similar books and articles
Vagueness, Truth and Permissive Consequence.Pablo Cobreros, Paul Egré, David Ripley & Robert van Rooij - 2015 - In Kentaro Fujimoto, José Martínez Fernández, Henri Galinon & Theodora Achourioti (eds.), Unifying the Philosophy of Truth. Springer Verlag. pp. 409-430.
A Model of Tolerance.Elia Zardini - 2008 - Studia Logica 90 (3):337-368.
From Heaps and Gaps to Heaps of Gluts.D. Hyde - 1997 - Mind 106 (424):641-660.
Vagueness as Closeness.Nicholas J. J. Smith - 2005 - Australasian Journal of Philosophy 83 (2):157 – 183.
Facing Up to the Sorites Paradox.Terry Horgan - 2000 - The Proceedings of the Twentieth World Congress of Philosophy 6:99-111.
Strict Finitism and the Happy Sorites.Ofra Magidor - 2012 - Journal of Philosophical Logic 41 (2):471-491.
Truth in a Region.Delia Graff Fara - 2011 - In Paul Egre & Nathan Klinedinst (eds.), Vagueness and Language Use. Palgrave-Macmillan.
Yes, Virginia, There Really Are Paraconsistent Logics.Bryson Brown - 1999 - Journal of Philosophical Logic 28 (5):489-500.

Monthly downloads

Added to index

2010-11-13

Total downloads

155 ( #29,910 of 2,164,591 )

Recent downloads (6 months)

2 ( #188,391 of 2,164,591 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Order:
There  are no threads in this forum
Nothing in this forum yet.

Other forums