Possible Patterns

Book chapter

Russell, Jeffrey Sanford and Hawthorne, John. (2018). Possible Patterns. In In K. Bennett and D. W. Zimmerman (Ed.). Oxford Studies in Metaphysics pp. 149 - 193 Oxford University Press. https://doi.org/10.1093/oso/9780198828198.003.0005
AuthorsRussell, Jeffrey Sanford and Hawthorne, John
EditorsK. Bennett and D. W. Zimmerman
Abstract

“There are no gaps in logical space,” writes Lewis (1986), 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.” Jumping off from discussions from Forrest and Armstrong (1984) and Nolan (1996), the authors use resources from model theory to show the inconsistency of certain packages of combinatorial principles and the consistency of others.

Keywordspossible worlds; recombination; combinatorialism; cardinality; plural logic; model theory
Page range149 - 193
Year2018
Book titleOxford Studies in Metaphysics
PublisherOxford University Press
Place of publicationUnited States of America
ISBN9780198828198
Digital Object Identifier (DOI)https://doi.org/10.1093/oso/9780198828198.003.0005
Research GroupDianoia Institute of Philosophy
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