Mind 121 (484):983-995 (2012)
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This discussion note responds to Mark Colyvan’s claim that there is no easy road to nominalism. While Colyvan is right to note that the existence of mathematical explanations presents a more serious challenge to nominalists than is often thought, it is argued that nominalist accounts do have the resources to account for the existence of mathematical explanations whose explanatory role resides elsewhere than in their nominalistic content.
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DOI | 10.1093/mind/fzs118 |
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Indispensability Arguments in the Philosophy of Mathematics.Mark Colyvan - 2008 - Stanford Encyclopedia of Philosophy.
Infinitesimal Idealization, Easy Road Nominalism, and Fractional Quantum Statistics.Elay Shech - 2019 - Synthese 196 (5):1963-1990.
Platonic Relations and Mathematical Explanations.Robert Knowles - forthcoming - The Philosophical Quarterly.
Fundamentality, Scale, and the Fractional Quantum Hall Effect.Elay Shech & Patrick McGivern - 2021 - Erkenntnis 86 (6):1411-1430.
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