Topoi 35 (1):45-55 (2016)

Authors
Benjamin Spector
Centre National de la Recherche Scientifique
Abstract
Both the phenomenon of presupposition and that of vagueness have motivated the use of one form or another of trivalent logic, in which a declarative sentence can not only receive the standard values true and false , but also a third, non-standard truth-value which is usually understood as ‘undefined’ . The goal of this paper is to propose a multivalent framework which can deal simultaneously with presupposition and vagueness, and, more specifically, capture their projection properties as well as their different roles in language. Now, there is a prima facie simple way of doing this, which simply consists in assimilating the two phenomena, and using an appropriate type of trivalent logic. On this view, we just need a compositional system that deals with the ‘undefined’ truth-value, and does not care about whether the source of undefinedness is ‘presuppositional’ or related to vagueness. I will argue that such a simple solution cannot succeed, and point out a number of desiderata that any successful approach must meet. I will then present and discuss two seven-valued semantics, inspired, respectively, by the Strong Kleene semantics and by supervaluationism, which meet these desiderata
Keywords Presupposition  Vagueness  Trivalent logics  Multivalent logics  Projection  Felicity  Supervaluations  Strong kleene
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s11245-014-9292-1
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

PhilArchive copy


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 51,232
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

Vagueness, Truth and Logic.Kit Fine - 1975 - Synthese 30 (3-4):265-300.
Tolerant, Classical, Strict.Pablo Cobreros, Paul Egré, David Ripley & Robert van Rooij - 2012 - Journal of Philosophical Logic 41 (2):347-385.
On the Projection Problem for Presuppositions.Irene Heim - 1983 - In P. Portner & B. H. Partee (eds.), Formal Semantics - the Essential Readings. Blackwell. pp. 249--260.

View all 12 references / Add more references

Citations of this work BETA

Yablo’s Semantic Machinery.Daniel Rothschild - 2017 - Philosophical Studies 174 (3):787-796.

Add more citations

Similar books and articles

Some Remarks on Certain Trivalent Accounts of Presupposition Projection.Benjamin R. George - 2014 - Journal of Applied Non-Classical Logics 24 (1-2):86-117.
From Heaps and Gaps to Heaps of Gluts.D. Hyde - 1997 - Mind 106 (424):641-660.
A Partial Account of Presupposition Projection.David Beaver & Emiel Krahmer - 2001 - Journal of Logic, Language and Information 10 (2):147-182.
Non-Classical Metatheory for Non-Classical Logics.Andrew Bacon - 2013 - Journal of Philosophical Logic 42 (2):335-355.
Robust Vagueness and the Forced-March Sorites Paradox.Terence Horgan - 1994 - Philosophical Perspectives 8:159-188.
Sorting Out the Sorites.David Ripley - 2013 - In Francesco Berto, Edwin Mares & Koji Tanaka (eds.), Paraconsistency: Logic and Applications. pp. 329-348.
Supervaluations and the Problem of the Many.Neil McKinnon - 2002 - Philosophical Quarterly 52 (208):320-339.

Analytics

Added to PP index
2015-01-24

Total views
48 ( #194,369 of 2,329,884 )

Recent downloads (6 months)
1 ( #582,921 of 2,329,884 )

How can I increase my downloads?

Downloads

My notes