Journal of Philosophical Logic 47 (2):281-299 (2018)

Authors
Michael De
Utrecht University
Abstract
There is a relatively recent trend in treating negation as a modal operator. One such reason is that doing so provides a uniform semantics for the negations of a wide variety of logics and arguably speaks to a longstanding challenge of Quine put to non-classical logics. One might be tempted to draw the conclusion that negation is a modal operator, a claim Francesco Berto, 761–793, 2015) defends at length in a recent paper. According to one such modal account, the negation of a sentence is true at a world x just in case all the worlds at which the sentence is true are incompatible with x. Incompatibility is taken to be the key notion in the account, and what minimal properties a negation has comes down to which minimal conditions incompatibility satisfies. Our aims in this paper are twofold. First, we wish to point out problems for the modal account that make us question its tenability on a fundamental level. Second, in its place we propose an alternative, non-modal, account of negation as a contradictory-forming operator that we argue is superior to, and more natural than, the modal account.
Keywords negation  modality  compatibility  contradictory
Categories (categorize this paper)
ISBN(s)
DOI 10.1007/s10992-017-9427-0
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: 70,079
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

Philosophy of Logic.W. V. Quine - 1970 - Harvard University Press.
Spandrels of Truth.J. C. Beall - 2009 - Oxford, England: Oxford University Press.
The Logic of Paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
Logic for Equivocators.David Lewis - 1982 - Noûs 16 (3):431-441.
Paraconsistent Logic.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.

View all 35 references / Add more references

Citations of this work BETA

Negation on the Australian Plan.Francesco Berto & Greg Restall - 2019 - Journal of Philosophical Logic 48 (6):1119-1144.
On Negation for Non-classical Set Theories.S. Jockwich Martinez & G. Venturi - 2021 - Journal of Philosophical Logic 50 (3):549-570.
Against a Metaphysical Understanding of Rejection.Mariela Rubin & Ariel Roffé - 2018 - Principia: An International Journal of Epistemology 22 (1):189-202.
When Curry Met Abel.Manuel Eduardo Tapia-Navarro & Luis Estrada-González - 2020 - Logic Journal of the IGPL 28 (6):1233-1242.

View all 6 citations / Add more citations

Similar books and articles

A Modality Called ‘Negation’.Francesco Berto - 2015 - Mind 124 (495):761-793.
Nearly Every Normal Modal Logic is Paranormal.Joao Marcos - 2005 - Logique Et Analyse 48 (189-192):279-300.
Hegel's Glutty Negation.Elena Ficara - 2015 - History and Philosophy of Logic 36 (1):29-38.
Normal Modal Substructural Logics with Strong Negation.Norihiro Kamide - 2003 - Journal of Philosophical Logic 32 (6):589-612.
Negation.Ernesto Napoli - 2006 - Grazer Philosophische Studien 72 (1):233-252.
Axiomatizations of Intuitionistic Double Negation.Milan Bozic & Kosta Došen - 1983 - Bulletin of the Section of Logic 12 (2):99-102.
Negative Modalities, Consistency and Determinedness.Adriano Dodó & João Marcos - 2014 - Electronic Notes in Theoretical Computer Science 300:21-45.
Some Aspects of Negation in English.Gabriel Sandu - 1994 - Synthese 99 (3):345 - 360.
Gentzen-Type Methods for Bilattice Negation.Norihiro Kamide - 2005 - Studia Logica 80 (2-3):265-289.

Analytics

Added to PP index
2017-02-09

Total views
68 ( #168,672 of 2,506,053 )

Recent downloads (6 months)
6 ( #118,933 of 2,506,053 )

How can I increase my downloads?

Downloads

My notes