The ‘Space’ at the Intersection of Platonism and Nominalism

Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 46 (2):393-408 (2015)
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Abstract

This essay explores the use of platonist and nominalist concepts, derived from the philosophy of mathematics and metaphysics, as a means of elucidating the debate on spacetime ontology and the spatial structures endorsed by scientific realists. Although the disputes associated with platonism and nominalism often mirror the complexities involved with substantivalism and relationism, it will be argued that a more refined three-part distinction among platonist/nominalist categories can nonetheless provide unique insights into the core assumptions that underlie spatial ontologies, but it also assists in critiquing alternative uses of nominalism, platonism, and both ontic and epistemic structural realism.

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Edward Slowik
Winona State University

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References found in this work

Every thing must go: metaphysics naturalized.James Ladyman & Don Ross - 2007 - New York: Oxford University Press. Edited by Don Ross, David Spurrett & John G. Collier.
Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.
The Indispensability of Mathematics.Mark Colyvan - 2001 - Oxford, England: Oxford University Press.
Every Thing Must Go: Metaphysics Naturalized.James Ladyman & Don Ross - 2007 - In James Ladyman & Don Ross (eds.), Every thing must go: metaphysics naturalized. New York: Oxford University Press.

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