Mathematical platonism meets ontological pluralism?

Inquiry: An Interdisciplinary Journal of Philosophy 63 (6):655-673 (2020)
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Abstract

Mathematical platonism is the view that abstract mathematical objects exist. Ontological pluralism is the view that there are many modes of existence. This paper examines the prospects for plural platonism, the view that results from combining mathematical platonism and ontological pluralism. I will argue that some forms of platonism are in harmony with ontological pluralism, while other forms of platonism are in tension with it. This shows that there are some interesting connections between the platonism–antiplatonism dispute and recent debates over ontological pluralism.

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Matteo Plebani
Università Degli Studi Di Torino

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References found in this work

Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.
Logical Pluralism.Jc Beall & Greg Restall - 2005 - Oxford, England: Oxford University Press. Edited by Greg Restall.
Realism in mathematics.Penelope Maddy - 1990 - New York: Oxford University Prress.
Platonism and anti-Platonism in mathematics.Mark Balaguer - 1998 - New York: Oxford University Press.
Realism, Mathematics, and Modality.Hartry Field - 1988 - Philosophical Topics 16 (1):57-107.

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