Composition as Abstraction

Journal of Philosophy 114 (9):453-470 (2017)
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Abstract

The existence of mereological sums can be derived from an abstraction principle in a way analogous to numbers. I draw lessons for the thesis that “composition is innocent” from neo-Fregeanism in the philosophy of mathematics.

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0022362X

DOI

10.5840/jphil2017114931

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Jeffrey Sanford Russell
University of Southern California

Citations of this work

The Metametaphysics of Neo-Fregeanism.Matti Eklund - 2020 - In Ricki Bliss & James Miller (eds.), The Routledge Handbook of Metametaphysics. New York, NY: Routledge.
Symmetry and Hybrid Contingentism.Maegan Fairchild - 2024 - In Peter Fritz & Nicholas K. Jones (eds.), Higher-Order Metaphysics. Oxford University Press.

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References found in this work

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
The Construction of Logical Space.Agustín Rayo - 2013 - Oxford, England: Oxford University Press.
Frege's conception of numbers as objects.Crispin Wright - 1983 - [Aberdeen]: Aberdeen University Press.
Parts of Classes.David K. Lewis - 1991 - Mind 100 (3):394-397.

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