Abstract Call an explanation in which a non-mathematical fact is explained—in part or in whole—by mathematical facts: an extra-mathematical explanation. Such explanations have attracted a great deal of interest recently in arguments over mathematical realism. In this paper, a theory of extra-mathematical explanation is developed. The theory is modelled on a deductive-nomological theory of scientific explanation. A basic DN account of extra-mathematical 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. © The Author 2017. Published by Oxford University Press on behalf of <italic>British Society for the Philosophy of Science</italic>. All rights reserved. For Permissions, please email: email@example.com
The British Journal for the Philosophy of Science – Oxford University Press
Published: Nov 28, 2017
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