Platonism in the Philosophy of Mathematics

Stanford Encyclopedia of Philosophy (forthcoming)
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Abstract

Platonism about mathematics (or mathematical platonism) isthe metaphysical view that there are abstract mathematical objectswhose existence is independent of us and our language, thought, andpractices. Just as electrons and planets exist independently of us, sodo numbers and sets. And just as statements about electrons and planetsare made true or false by the objects with which they are concerned andthese objects' perfectly objective properties, so are statements aboutnumbers and sets. Mathematical truths are therefore discovered, notinvented., Existence. There are mathematical objects

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Øystein Linnebo
University of Oslo

Citations of this work

‘Just is’-Statements as Generalized Identities.Øystein Linnebo - 2014 - Inquiry: An Interdisciplinary Journal of Philosophy 57 (4):466-482.
Epistemological objections to platonism.David Liggins - 2010 - Philosophy Compass 5 (1):67-77.
The philosophy of computer science.Raymond Turner - 2013 - Stanford Encyclopedia of Philosophy.

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References found in this work

The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge: Harvard University Press.
Truth and Objectivity.Crispin Wright - 1992 - Cambridge, Mass.: Harvard University Press.
The foundations of arithmetic.Gottlob Frege - 1884/1950 - Evanston, Ill.,: Northwestern University Press.

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