Consequences of collapse

In Donald Baxter & Aaron Cotnoir (eds.), Composition as Identity. Oxford University Press. pp. 211-221 (2014)
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Abstract

"Composition as identity" is the radical claim that the whole is identical to the parts - radical because it implies that a single object can be identical to many objects. Composition as identity, together with auxiliary assumptions, implies the principle of "collapse": an object is one of some things if and only it is part of the fusion of those things. Collapse has important implications: the comprehension principle of plural logic must be restricted, plural definite descriptions such as "the Cheerios in the bowl" are empty, Composition as identity does not preclude emergent properties (contrary to what McDaniel has argued), and drastic simplifications of mereological and logical ideology are extensionally available.

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Theodore Sider
Rutgers University - New Brunswick

Citations of this work

Composition as a Kind of Identity.Phillip Bricker - 2016 - Inquiry: An Interdisciplinary Journal of Philosophy 59 (3):264-294.
Mereological Nihilism and Theoretical Unification.Andrew Brenner - 2015 - Analytic Philosophy 56 (4):318-337.
Composition is Identity and Mereological Nihilism.Claudio Calosi - 2016 - Philosophical Quarterly 66 (263):219-235.
Composition as identity: pushing forward.Einar Duenger Bohn - 2019 - Synthese 198 (Suppl 18):4595-4607.

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References found in this work

Parts of Classes.David K. Lewis - 1991 - Mind 100 (3):394-397.
Parthood.Theodore Sider - 2007 - Philosophical Review 116 (1):51-91.
Parts of Classes.Michael Potter - 1993 - Philosophical Quarterly 43 (172):362-366.

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