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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reprint Linnebo, Øystein (2012) "Platonism in the Philosophy of Mathematics". In Zalta, Ed, Stanford Encyclopedia of Philosophy, pp. : Stanford Encyclopedia of Philosophy (2012)

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Øystein Linnebo
University of Oslo

References found in this work

The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge: Harvard University Press.
Thin Objects: An Abstractionist Account.Øystein Linnebo - 2018 - Oxford: Oxford University Press.
Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.
The Construction of Logical Space.Agustín Rayo - 2013 - Oxford, GB: Oxford University Press.

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