Mathematical Explanation In Science
Document Type
Article
Publication Date
9-1-2009
Published In
British Journal For The Philosophy Of Science
Abstract
Does mathematics ever play an explanatory role in science? If so then this opens the way for scientific realists to argue for the existence of mathematical entities using inference to the best explanation. Elsewhere I have argued, using a case study involving the prime-numbered life cycles of periodical cicadas, that there are examples of indispensable mathematical explanations of purely physical phenomena. In this paper I respond to objections to this claim that have been made by various philosophers, and I discuss potential future directions of research for each side in the debate over the existence of abstract mathematical objects.
Recommended Citation
Alan Richard Baker.
(2009).
"Mathematical Explanation In Science".
British Journal For The Philosophy Of Science.
Volume 60,
Issue 3.
611-633.
DOI: 10.1093/bjps/axp025
https://works.swarthmore.edu/fac-philosophy/45