Oxford Studies in Metaphysics 11 (2018)
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“There are no gaps in logical space,” David Lewis writes, giving voice to sentiment shared by many philosophers. But different natural ways of trying to make this sentiment precise turn out to conflict with one another. One is a *pattern* idea: “Any pattern of instantiation is metaphysically possible.” Another is a *cut and paste* idea: “For any objects in any worlds, there exists a world that contains any number of duplicates of all of those objects.” We use resources from model theory to show the inconsistency of certain packages of combinatorial principles and the consistency of others.
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Keywords | possible worlds recombination combinatorialism model theory cardinality |
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References found in this work BETA
On the Plurality of Worlds.David Lewis - 1986 - Revue Philosophique de la France Et de l'Etranger 178 (3):388-390.
A Combinatorial Theory of Possibility.David Malet Armstrong - 1989 - Cambridge and New York: Cambridge University Press.
Naturalness.Cian Dorr & John Hawthorne - 2013 - In Karen Bennett & Dean Zimmerman (eds.), Oxford Studies in Metaphysics: Volume 8. Oxford University Press. pp. 1.
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Citations of this work BETA
Moderate Modal Skepticism.Margot Strohminger & Juhani Yli-Vakkuri - 2018 - In Matthew A. Benton, John Hawthorne & Dani Rabinowitz (eds.), Knowledge, Belief, and God: New Insights in Religious Epistemology. Oxford University Press. pp. 302-321.
All Worlds in One: Reassessing the Forest-Armstrong Argument.Phillip Bricker - 2020 - In Modal Matters: Essays in Metaphysics. Oxford: pp. 278-314.
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71 ( #10,840 of 2,520,426 )
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