Authors
Ben Martin
University of Bergen
Abstract
This paper first offers a standard modal extension of dialetheic logics that respect the normal semantics for negation and conjunction, in an attempt to adequately model absolutism, the thesis that there are true contradictions at metaphysically possible worlds. It is shown, however, that the modal extension has unsavoury consequences for both absolutism and dialetheism. While the logic commits the absolutist to dialetheism, it commits the dialetheist to the impossibility of the actual world. A new modal logic AV is then proposed which avoids these unsavoury consequences by invalidating the interdefinability rules for the modal operators with the use of two valuation relations. However, while using AV carries no significant cost for the absolutist, the same isn't true for the dialetheist. Although using AV allows her to avoid the consequence that the actual world is an impossible world, it does so only on the condition that the dialetheist admits that she cannot give a dialetheic solution to all self-refe..
Keywords No keywords specified (fix it)
Categories (categorize this paper)
Reprint years 2015
ISBN(s)
DOI 10.1080/00048402.2014.956768
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: 70,163
Through your library

References found in this work BETA

On the Plurality of Worlds.David Lewis - 1986 - Wiley-Blackwell.
In Contradiction: A Study of the Transconsistent.Graham Priest - 1987 - Dordrecht, Netherland: Oxford University Press.
On the Plurality of Worlds.David Lewis - 1986 - Revue Philosophique de la France Et de l'Etranger 178 (3):388-390.
The Logic of Paradox.Graham Priest - 1979 - Journal of Philosophical Logic 8 (1):219 - 241.
On The Plurality of Worlds.Graeme Forbes - 1988 - Philosophical Quarterly 38 (151):222-240.

View all 24 references / Add more references

Citations of this work BETA

Identifying Logical Evidence.Ben Martin - 2020 - Synthese 198 (10):9069-9095.
Dialetheism.Francesco Berto, Graham Priest & Zach Weber - 2008 - Stanford Encyclopedia of Philosophy 2018 (2018).
What Is an Inconsistent Truth Table?Zach Weber, Guillermo Badia & Patrick Girard - 2016 - Australasian Journal of Philosophy 94 (3):533-548.
Dialetheism.Graham Priest - 2008 - Stanford Encyclopedia of Philosophy.

View all 9 citations / Add more citations

Similar books and articles

A Dilemma for Dialetheism.Jason Zarri - 2010 - The Dualist 15 (Spring):21-31.
Against Classical Dialetheism.Wenfang Wang - 2011 - Frontiers of Philosophy in China 6 (3):492-500.
First-Order Modal Logic with an 'Actually' Operator.Yannis Stephanou - 2005 - Notre Dame Journal of Formal Logic 46 (4):381-405.
Why and How to Be a Dialetheist.Manuel Bremer - 2008 - Studia Philosophica Estonica 1 (2):208-227.
Systems of Modal Logic for Impossible Worlds.Charles G. Morgan - 1973 - Inquiry: An Interdisciplinary Journal of Philosophy 16 (1-4):280 – 289.
Yes, Virginia, There Really Are Paraconsistent Logics.Bryson Brown - 1999 - Journal of Philosophical Logic 28 (5):489-500.
Dialetheism, Semantic Pathology, and the Open Pair.Bradley Armour-Garb & James A. Woodbridge - 2006 - Australasian Journal of Philosophy 84 (3):395 – 416.
Relativized Metaphysical Modality.Adam Murray & Jessica M. Wilson - 2012 - In Karen Bennett & Dean Zimmerman (eds.), Oxford Studies in Metaphysics. Oxford University Press. pp. 189.
Nearly Every Normal Modal Logic is Paranormal.Joao Marcos - 2005 - Logique Et Analyse 48 (189-192):279-300.
Two Types of Rigid Designation.Iris Einheuser - 2005 - Dialectica 59 (3):367–374.
Actualism and Higher-Order Worlds.Reina Hayaki - 2003 - Philosophical Studies 115 (2):149 - 178.

Analytics

Added to PP index
2014-09-15

Total views
86 ( #135,416 of 2,506,517 )

Recent downloads (6 months)
4 ( #170,106 of 2,506,517 )

How can I increase my downloads?

Downloads

My notes