Sam, Baron
(2017)
Mathematical Explanation by Law.
The British Journal for the Philosophy of Science.
Abstract
Call an explanation in which a nonmathematical fact is explained  in part or in whole  by mathematical facts: an extramathematical explanation. Such explanations have attracted a great deal of interest recently in arguments over mathematical realism. In this paper, a theory of extramathematical explanation is developed. The theory is modeled on a deductivenomological theory of scientific explanation. A basic DN account of extramathematical explanation is proposed and then redeveloped in the light of two difficulties that the basic theory faces. The final view appeals to relevance logic and uses resources in information theory to understand the explanatory relationship between mathematical and physical facts.
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