The Logic of Counterpart Theory with Actuality

Journal of Philosophical Logic 43:1-31 (2012)
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Abstract

It has been claimed that counterpart theory cannot support a theory of actuality without rendering obviously invalid formulas valid or obviously valid formulas invalid. We argue that these claims are not based on logical flaws of counterpart theory itself, but point to the lack of appropriate devices in first-order logic for “remembering” the values of variables. We formulate a mildly dynamic version of first-order logic with appropriate memory devices and show how to base a version of counterpart theory with actuality on this. This theory is, in special cases, equivalent to modal first-order logic with actuality, and apparently does not suffer from the logical flaws that have been mentioned in the literature

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Author Profiles

Richmond Thomason
University of Michigan, Ann Arbor
Adam Rigoni
University of Michigan, Ann Arbor (PhD)

Citations of this work

Ideology in a Desert Landscape.Alessandro Torza - 2017 - Philosophical Issues 27 (1):383-406.
Contingent identity and counterpart theory.Ralf M. Bader - 2016 - Philosophical Perspectives 30 (1):7-20.
Haecceitism and counterpart theory.Michael De - 2022 - Theoria 88 (6):1163-1179.

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References found in this work

Modal Logic: Graph. Darst.Patrick Blackburn, Maarten de Rijke & Yde Venema - 2001 - New York: Cambridge University Press. Edited by Maarten de Rijke & Yde Venema.
Counterpart theory and quantified modal logic.David Lewis - 1968 - Journal of Philosophy 65 (5):113-126.
On the logic of demonstratives.David Kaplan - 1979 - Journal of Philosophical Logic 8 (1):81 - 98.
Counterpart-theoretic semantics for modal logic.Allen Hazen - 1979 - Journal of Philosophy 76 (6):319-338.
Modal logic.Yde Venema - 2000 - Philosophical Review 109 (2):286-289.

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