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“In Nature as in Geometry”: Du Châtelet and the Post-Newtonian Debate on the Physical Significance of Mathematical Objects

In Wolfgang Lefèvre (ed.), Between Leibniz, Newton, and Kant: Philosophy and Science in the Eighteenth Century. Springer. pp. 69-98 (2023)

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  1. Du Châtelet’s Philosophy of Mathematics.Aaron Wells - forthcoming - In Fatema Amijee (ed.), The Bloomsbury Handbook of Du Châtelet. Bloomsbury.
    I begin by outlining Du Châtelet’s ontology of mathematical objects: she is an idealist, and mathematical objects are fictions dependent on acts of abstraction. Next, I consider how this idealism can be reconciled with her endorsement of necessary truths in mathematics, which are grounded in essences that we do not create. Finally, I discuss how mathematics and physics relate within Du Châtelet’s idealism. Because the primary objects of physics are partly grounded in the same kinds of acts as yield mathematical (...)
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