Tolerant, Classical, Strict

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


Upload a copy of this paper     Check publisher's policy on self-archival     Papers currently archived: 12,101
External links
Setup an account with your affiliations in order to access resources via your University's proxy server
Configure custom proxy (use this if your affiliation does not provide a proxy)
Through your library
References found in this work BETA

View all 22 references

Citations of this work BETA
Similar books and articles
Elia Zardini (2008). A Model of Tolerance. Studia Logica 90 (3):337 - 368.
Nicholas J. J. Smith (2005). Vagueness as Closeness. Australasian Journal of Philosophy 83 (2):157 – 183.
Terry Horgan (2000). Facing Up to the Sorites Paradox. The Proceedings of the Twentieth World Congress of Philosophy 6:99-111.
Ofra Magidor (2012). Strict Finitism and the Happy Sorites. Journal of Philosophical Logic 41 (2):471-491.
Delia Graff Fara (2011). Truth in a Region. In Paul Egre & Nathan Klinedinst (eds.), Vagueness and Language Use. Palgrave Macmillan.
Analytics

Monthly downloads

Added to index

2010-11-13

Total downloads

37 ( #50,351 of 1,102,112 )

Recent downloads (6 months)

6 ( #52,509 of 1,102,112 )

How can I increase my downloads?

My notes
Sign in to use this feature


Discussion
Start a new thread
Order:
There  are no threads in this forum
Nothing in this forum yet.