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Mereology and Location$
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Shieva Kleinschmidt

Print publication date: 2014

Print ISBN-13: 9780199593828

Published to Oxford Scholarship Online: April 2014

DOI: 10.1093/acprof:oso/9780199593828.001.0001

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Parts of Propositions

Parts of Propositions

Chapter:
(p.156) 9 Parts of Propositions
Source:
Mereology and Location
Author(s):

Cody Gilmore

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199593828.003.0009

Do Russellian propositions have their constituents as parts? One reason for thinking not is that if they did, they would generate counterexamples to plausible mereological principles. As Frege noted, they would seem to violate the transitivity of parthood, and as William Bynoe has noted (speaking of facts rather than propositions), they would seem to violate certain supplementation principles. The chapter offers a solution to both problems. One key ingredient in the solution is the view that parthood is a four-place relation expressed by ‘x at y is a part of z at w’. Another key ingredient is the view that the semantic contents of predicates and sentential connectives have ‘slots’ or ‘argument positions’ in them. The author formulates four-place analogues of the transitivity and supplementation principles and argues that these are unthreatened by the examples from Frege and Bynoe.

Keywords:   mereology, parthood, propositions, Frege, Russell, argument places, weak supplementation, transitivity

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