Possible Patterns


Authors
Jeffrey Sanford Russell
University of Southern California
John Hawthorne
Australian Catholic University
Abstract
“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.
Keywords possible worlds  recombination  combinatorialism  model theory  cardinality
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References found in this work BETA

On The Plurality of Worlds.Graeme Forbes - 1986 - Philosophical Quarterly 38 (151):222-240.
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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.

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