Indispensability, causation and explanation

Theoria : An International Journal for Theory, History and Fundations of Science 33 (2):219-232 (2018)
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Abstract

When considering mathematical realism, some scientific realists reject it, and express sympathy for the opposite view, mathematical nominalism; moreover, many justify this option by invoking the causal inertness of mathematical objects. The main aim of this note is to show that the scientific realists’ endorsement of this causal mathematical nominalism is in tension with another position some of them also accept, the doctrine of methodological naturalism. By highlighting this conflict, I intend to tip the balance in favor of a rival of mathematical nominalism, the mathematical realist position supported by the ‘Indispensability Argument’ – but I do this indirectly, by showing that the road toward it is not blocked by considerations from causation.

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Sorin Bangu
University of Bergen

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References found in this work

Science Without Numbers: A Defence of Nominalism.Hartry H. Field - 1980 - Princeton, NJ, USA: Princeton University Press.
Inference to the Best Explanation.Peter Lipton - 1991 - London and New York: Routledge.
Realism, Mathematics & Modality.Hartry H. Field - 1989 - New York, NY, USA: Blackwell.
Mathematical truth.Paul Benacerraf - 1973 - Journal of Philosophy 70 (19):661-679.

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