On the translation from quantified modal logic to counterpart theory

Synthese 200 (5):1-15 (2022)
  Copy   BIBTEX

Abstract

Lewis (1968) claims that his language of Counterpart Theory (CT) interprets modal discourse and he adverts to a translation scheme from the language of Quantifed Modal Logic (QML) to CT. However, everybody now agrees that his original translation scheme does not always work, since it does not always preserve the ‘intuitive’ meaning of the translated QML-formulas. Lewis discusses this problem with regard to the Necessitist Thesis, and I will extend his discourse to the analysis of the Converse Barcan Formula. Everyone also agrees that there are CT-formulas that can express the QMLcontent that gets lost through the translation. The problem is how we arrive to them. In this paper, I propose new translation rules from QML to CT, based on a suggestion by Kaplan. However, I will claim that we cannot have ‘the’ translation scheme from QML to CT. The reason being that de re modal language is ambiguous. Accordingly, there are diferent sorts of QML, depending on how we resolve such ambiguity. Therefore, depending on what sort of QML we intend to translate into CT, we need to use the corresponding translation scheme. This suggests that all the translation problems might just disappear if we do what Lewis did not: begin with a fully worked out QML that tells us how to understand de re modal discourse.

Similar books and articles

Counterparts, Essences and Quantified Modal Logic.Tomasz Bigaj - forthcoming - Logic and Logical Philosophy:1-14.
Counterpart Theory as a Semantics for Modal Logic.Lin Woollaston - 1994 - Logique Et Analyse 37 (147-148):255-263.
Models for Counterparts.Alessandro Torza - 2011 - Axiomathes 21 (4):553-579.
Representing Counterparts.Andrew Bacon - 2014 - Australasian Journal of Logic 11 (2):90-113.
Haecceitism for Modal Realists.Sam Cowling - 2012 - Erkenntnis 77 (3):399-417.
Kripkean Counterpart Theory.Murali Ramachandran - 2008 - Polish Journal of Philosophy 2 (2):89-106.
Adequacy Conditions for Counterpart Theory.M. J. Cresswell - 2004 - Australasian Journal of Philosophy 82 (1):28-41.
The Logic of Counterpart Theory with Actuality.Adam Rigoni & Richmond H. Thomason - 2012 - Journal of Philosophical Logic 43:1-31.
How to Lewis a Kripke–Hintikka.Alessandro Torza - 2013 - Synthese 190 (4):743-779.
Truths qua Grounds.Ghislain Guigon - 2018 - Philosophy and Phenomenological Research 97 (1):99-125.

Analytics

Added to PP
2022-09-08

Downloads
302 (#67,127)

6 months
124 (#31,500)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

Cristina Nencha
University of Bergamo

References found in this work

On the Plurality of Worlds.David K. Lewis - 1986 - Malden, Mass.: Wiley-Blackwell.
Modal Logic as Metaphysics.Timothy Williamson - 2013 - Oxford, England: Oxford University Press.
On the Plurality of Worlds.David Lewis - 1986 - Revue Philosophique de la France Et de l'Etranger 178 (3):388-390.
Counterpart theory and quantified modal logic.David Lewis - 1968 - Journal of Philosophy 65 (5):113-126.

View all 10 references / Add more references