An Easy Road to Nominalism

Mind 121 (484):967-982 (2012)
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Abstract

In this paper, I provide an easy road to nominalism which does not rely on a Field-type nominalization strategy for mathematics. According to this proposal, applications of mathematics to science, and alleged mathematical explanations of physical phenomena, only emerge when suitable physical interpretations of the mathematical formalism are advanced. And since these interpretations are rarely distinguished from the mathematical formalism, the impression arises that mathematical explanations derive from the mathematical formalism alone. I correct this misimpression by pointing out, in the cases recently discussed by Mark Colyvan, exactly where the interpretations of the formalism were invoked and the function they played in the resulting explanations. A viable form of easy - road nominalism, which is also sensitive to scientific practice, then arises

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Otávio Bueno
University of Miami

Citations of this work

The Narrow Ontic Counterfactual Account of Distinctively Mathematical Explanation.Mark Povich - 2021 - British Journal for the Philosophy of Science 72 (2):511-543.
Mathematical Explanation: A Pythagorean Proposal.Sam Baron - 2024 - British Journal for the Philosophy of Science 75 (3):663-685.

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References found in this work

There is No Easy Road to Nominalism.M. Colyvan - 2010 - Mind 119 (474):285-306.
Can Mathematics Explain Physical Phenomena?Otávio Bueno & Steven French - 2012 - British Journal for the Philosophy of Science 63 (1):85-113.

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