Journal of Philosophy 107 (10):501-533 (2010)

Authors
Patrick Reeder
Kenyon College
Benjamin Caplan
University of Kansas
Chris Tillman
University of Manitoba
Abstract
In Parts of Classes and "Mathematics is Megethology" David Lewis shows how the ideology of set membership can be dispensed with in favor of parthood and plural quantification. Lewis's theory has it that singletons are mereologically simple and leaves the relationship between a thing and its singleton unexplained. We show how, by exploiting Kit Fine's mereology, we can resolve Lewis's mysteries about the singleton relation and vindicate the claim that a thing is a part of its singleton.
Keywords Analytic Philosophy  Contemporary Philosophy
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ISBN(s) 0022-362X
DOI 10.5840/jphil20101071036
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References found in this work BETA

Survival and Identity.David K. Lewis - 1976 - In Amelie Oksenberg Rorty (ed.), The Identities of Persons. University of California Press. pp. 17-40.
Things and Their Parts.Kit Fine - 1999 - Midwest Studies in Philosophy 23 (1):61-74.
Parthood and Identity Across Time.Judith Jarvis Thomson - 1983 - Journal of Philosophy 80 (4):201-220.
The Statue and the Clay.Judith Jarvis Thomson - 1998 - Noûs 32 (2):149-173.
Against Structural Universals.David K. Lewis - 1986 - Australasian Journal of Philosophy 64 (1):25 – 46.

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Citations of this work BETA

Mereology.Achille C. Varzi - 2016 - Stanford Encyclopedia of Philosophy.
Abstract Explanations in Science.Christopher Pincock - 2014 - British Journal for the Philosophy of Science 66 (4):857-882.
Location and Mereology.Cody Gilmore - 2013 - Stanford Encyclopedia of Philosophy.

View all 15 citations / Add more citations

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