In Donal Baxter & Aaron Cotnoir (eds.), Composition as Identity. Oxford University Press (forthcoming)
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A plurality or plural object is a single object that is also many, and pluralitism is the thesis that there is such an object. This paper argues that pluralitism and closely related theses (e.g., the many-one identity thesis and the composition as identity thesis) violate logic. To do so, it formulates an approach to the logic and semantics of plural constructions that results in plural logic and relates treatments of plural constructions to accounts of natural number. And it gives a critical examination of Frege’s views of numbers and plural constructions, and sketches the view of plural constructions as devices for talking about the many (as such), and an account of natural numbers as properties of a special kind, plural properties.
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References found in this work BETA
Composition as General Identity.Aaron J. Cotnoir - 2013 - In Karen Bennett & Dean W. Zimmerman (eds.), Oxford Studies in Metaphysics. Oxford University Press. pp. 294-322.
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Citations of this work BETA
Counting on Strong Composition as Identity to Settle the Special Composition Question.Joshua Spencer - 2017 - Erkenntnis 82 (4):857-872.
Composition as Identity, Now with All the Pluralities You Could Want.Jonathan D. Payton - 2021 - Synthese 199 (3-4):8047-8068.
View all 10 citations / Add more citations
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