Distinctively mathematical explanation and the problem of directionality: A quasi-erotetic solution

Studies in History and Philosophy of Science Part A 87 (C):13-21 (2021)
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Abstract

The increasing preponderance of opinion that some natural phenomena can be explained mathematically has inspired a search for a viable account of distinctively mathematical explanation. Among the desiderata for an adequate account is that it should solve the problem of directionality and the reversals of distinctively mathematical explanations should not count as members among the explanatory fold but any solution must also avoid the exclusion of genuine explanations. In what follows, I introduce and defend what I refer to as a quasi-erotetic solution which provides a remedy to the problem in the form of an additional necessary condition on explanation.

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Travis Holmes
University of Missouri, Columbia

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How scientific models can explain.Alisa Bokulich - 2011 - Synthese 180 (1):33 - 45.
On Quantifier Domain Restriction.Jason Stanley & Zoltán Gendler Szabó - 2000 - Mind and Language 15 (2-3):219--61.

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