Tolerance and Mixed Consequence in the S'valuationist Setting

Studia Logica 100 (4):855-877 (2012)
Abstract
In a previous paper (see ‘Tolerant, Classical, Strict’, henceforth TCS) we investigated a semantic framework to deal with the idea that vague predicates are tolerant, namely that small changes do not affect the applicability of a vague predicate even if large changes do. Our approach there rests on two main ideas. First, given a classical extension of a predicate, we can define a strict and a tolerant extension depending on an indifference relation associated to that predicate. Second, we can use these notions of satisfaction to define mixed consequence relations that capture non-transitive tolerant reasoning. Although we gave some empirical motivation for the use of strict and tolerant extensions, making use of them commits us to the view that sentences of the form ‘ p∨¬p ’ and ‘ p∧¬p ’ are not automatically valid or unsatisfiable, respectively. Some philosophers might take this commitment as a negative outcome of our previous proposal. We think, however, that the general ideas underlying our previous approach to vagueness can be implemented in a variety of ways. This paper explores the possibility of defining mixed notions of consequence in the more classical super/sub-valuationist setting and examines to what extent any of these notions captures non-transitive tolerant reasoning.
Keywords Logical Consequence  Vagueness  Tolerance  Super- and Sub-valuationism
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: 11,085
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 7 references

Citations of this work BETA

No citations found.

Similar books and articles
Kimberley Jane Pryor (2008). Tolerance. Marshall Cavendish Benchmark.
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.
Analytics

Monthly downloads

Added to index

2012-08-08

Total downloads

19 ( #89,007 of 1,101,622 )

Recent downloads (6 months)

6 ( #44,913 of 1,101,622 )

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.