On the specialness of special functions (the nonrandom effusions of the divine mathematician)

British Journal for the Philosophy of Science 58 (2):263 - 286 (2007)
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Abstract

This article attempts to address the problem of the applicability of mathematics in physics by considering the (narrower) question of what make the so-called special functions of mathematical physics special. It surveys a number of answers to this question and argues that neither simple pragmatic answers, nor purely mathematical classificatory schemes are sufficient. What is required is some connection between the world and the way investigators are forced to represent the world

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2009-01-28

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Robert W. Batterman
University of Pittsburgh

Citations of 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.
On the presumed superiority of analytical solutions over numerical methods.Vincent Ardourel & Julie Jebeile - 2017 - European Journal for Philosophy of Science 7 (2):201-220.
Mathematical Structure and Empirical Content.Michael E. Miller - unknown - British Journal for the Philosophy of Science 74 (2):511-532.
Explanation, Representation and Information.Panagiotis Karadimas - 2024 - Philosophical Problems in Science 74:21-55.
Mathematical Idealization.Chris Pincock - 2007 - Philosophy of Science 74 (5):957-967.

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References found in this work

Theories of Probability.Terrence Fine - 1973 - Academic Press.
Critical phenomena and breaking drops: Infinite idealizations in physics.Robert Batterman - 2004 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 36 (2):225-244.

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