Chisholm's Modal Paradox(es) and Counterpart Theory 50 Years On

Logic and Logical Philosophy 29 (4):571-592 (2020)
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Abstract

Lewis’s [1968] counterpart theory (LCT for short), motivated by his modal realism, made its appearance within a year of Chisholm’s modal paradox [1967]. We are not modal realists, but we argue that a satisfactory resolution to the paradox calls for a counterpart-theoretic (CT-)semantics. We make our case by showing that the Chandler–Salmon strategy of denying the S4 axiom [◊◊ψ →◊ψ] is inadequate to resolve the paradox – we take on Salmon’s attempts to defend that strategy against objects from Lewis and Williamson. We then consider three substantially different CT-approaches: Lewis’s LCT, Forbes’s (FCT), including his fuzzy version, and Ramachandran’s (RCT). We argue that the best approach is a mish-mash of FCT and RCT.

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Murali Ramachandran
Thapar School of Liberal Arts and Sciences

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References found in this work

Naming and Necessity.S. Kripke - 1972 - Tijdschrift Voor Filosofie 45 (4):665-666.
Four Dimensionalism.Theodore Sider - 1997 - Philosophical Review 106 (2):197-231.
Counterpart theory and quantified modal logic.David Lewis - 1968 - Journal of Philosophy 65 (5):113-126.
Identity and Discrimination.Timothy Williamson (ed.) - 1990 - Cambridge, Mass., USA: Wiley-Blackwell.
The Logic of What Might Have Been.Nathan Salmon - 1989 - Philosophical Review 98 (1):3-34.

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