Is there a plural object?

In Aaron J. Cotnoir & Donald L. M. Baxter (eds.), Composition as Identity. Oxford: Oxford University Press USA (2014)
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Abstract

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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Byeong-uk Yi
University of Toronto, Mississauga

Citations of this work

How to identify wholes with their parts.Jonathan D. Payton - 2019 - Synthese 198 (Suppl 18):4571-4593.
On atomic composition as identity.Roberto Loss - 2019 - Synthese 198 (Suppl 18):4519-4542.
Composition, identity and plural ontology.Roberto Loss - 2020 - Synthese 198 (10):9193-9210.
Constitution and Identity.John Biro - 2018 - Erkenntnis 83 (6):1127-1138.

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References found in this work

Parts of Classes.David K. Lewis - 1991 - Mind 100 (3):394-397.
Frege.Michael Dummett - 1975 - Teorema: International Journal of Philosophy 5 (2):149-188.
Many-one identity.Donald L. M. Baxter - 1988 - Philosophical Papers 17 (3):193-216.
Parts of Classes.Michael Potter - 1993 - Philosophical Quarterly 43 (172):362-366.

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