Variation on a Trivialist Argument of Paul Kabay

Journal of Logic, Language and Information 20 (1):115-132 (2011)
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Abstract

Impossible worlds are regarded with understandable suspicion by most philosophers. Here we are concerned with a modal argument which might seem to show that acknowledging their existence, or more particularly, the existence of some hypothetical (we do not say “possible”) world in which everything was the case, would have drastic effects, forcing us to conclude that everything is indeed the case—and not just in the hypothesized world in question. The argument is inspired by a metaphysical (rather than modal-logical) argument of Paul Kabay’s which would have us accept this unpalatable conclusion, though its details bear a closer resemblance to a line of thought developed by Jc Beall, in response to which Graham Priest has made some philosophical moves which are echoed in our diagnosis of what goes wrong with the present modal argument. Logical points of some interest independent of the main issue arise along the way

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Lloyd Humberstone
Monash University

Citations of this work

Models of Possibilism and Trivialism.Luis Estrada-González - 2012 - Logic and Logical Philosophy 21 (2):175-205.
Observations on the Trivial World.Zach Weber & Hitoshi Omori - 2019 - Erkenntnis 84 (5):975-994.
Myers' paradox.Graham Priest - 2021 - Thought: A Journal of Philosophy 10 (2):147-154.
Could Everything Be True? Probably Not.Matteo Plebani - 2015 - Philosophia 43 (2):499-504.

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References found in this work

On the Plurality of Worlds.David K. Lewis - 1986 - Malden, Mass.: Wiley-Blackwell.
A Theory of Conditionals.Robert Stalnaker - 1968 - In Nicholas Rescher (ed.), Studies in Logical Theory. Oxford,: Blackwell. pp. 98-112.
On the Plurality of Worlds.David Lewis - 1986 - Revue Philosophique de la France Et de l'Etranger 178 (3):388-390.
Introduction to mathematical logic..Alonzo Church - 1944 - Princeton,: Princeton university press: London, H. Milford, Oxford university press. Edited by C. Truesdell.
Doubt truth to be a liar.Graham Priest - 2006 - New York: Oxford University Press.

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