Possible Patterns

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.

Author Profiles

Jeffrey Sanford Russell
University of Southern California
John Hawthorne
Australian Catholic University


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