Counterfactual Scheming

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Abstract

Mathematics appears to play a genuine explanatory role in science. But how do mathematical explanations work? Recently, a counterfactual approach to mathematical explanation has been suggested. I argue that such a view fails to differentiate the explanatory uses of mathematics within science from the non-explanatory uses. I go on to offer a solution to this problem by combining elements of the counterfactual theory of explanation with elements of a unification theory of explanation. The result is a theory according to which a counterfactual is explanatory when it is an instance of a generalized counterfactual scheme.
Original languageEnglish
Pages (from-to)535-562
Number of pages28
JournalMind: a quarterly review of philosophy
Volume129
Issue number514
DOIs
Publication statusPublished - 1 Apr 2020

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