Mathematical explanations of the rainbow

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 42 (1):13-22 (2011)
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Abstract

Explanations of three different aspects of the rainbow are considered. The highly mathematical character of these explanations poses some interpretative questions concerning what the success of these explanations tells us about rainbows. I develop a proposal according to which mathematical explanations can highlight what is relevant about a given phenomenon while also indicating what is irrelevant to that phenomenon. This proposal is related to the extensive work by Batterman on asymptotic explanation with special reference to Batterman’s own discussion of the rainbow

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Christopher Pincock
Ohio State University

Citations of this work

(In)effective realism?Juha Saatsi - 2022 - European Journal for Philosophy of Science 12 (2):1-16.
Model Explanation Versus Model-Induced Explanation.Insa Lawler & Emily Sullivan - 2021 - Foundations of Science 26 (4):1049-1074.

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References found in this work

On the explanatory role of mathematics in empirical science.Robert W. Batterman - 2010 - British Journal for the Philosophy of Science 61 (1):1-25.
Whose Devil? Which Details?Gordon Belot - 2005 - Philosophy of Science 72 (1):128-153.
Asymptotic reasoning.M. Redhead - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 35 (3):527-530.

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