Explanatory Information in Mathematical Explanations of Physical Phenomena

Australasian Journal of Philosophy 98 (3):590-603 (2020)
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Abstract

In this paper I defend an intermediate position between the ‘bare mathematical results’ view and the ‘transmission’ view of mathematical explanations of physical phenomena (MEPPs). I argue that, in MEPPs, it is not enough to deduce the explanandum from the generalizations cited in the explanans. Rather, we must add information regarding why those generalizations obtain. However, I also argue that it is not necessary to provide explanatory proofs of the mathematical theorems that represent those generalizations. I illustrate this with the bridges of Königsberg case.

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Manuel Barrantes
California State University, Sacramento

Citations of this work

Modality and constitution in distinctively mathematical explanations.Mark Povich - 2020 - European Journal for Philosophy of Science 10 (3):1-10.
Mathematical Explanations of Physical Phenomena.Sorin Bangu - 2021 - Australasian Journal of Philosophy 99 (4):669-682.
Unification and mathematical explanation.Robert Knowles - 2021 - Philosophical Studies 178 (12):3923-3943.

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References found in this work

Mathematics and Scientific Representation.Christopher Pincock - 2011 - Oxford and New York: Oxford University Press USA.
Reasons Why.Bradford Skow - 2016 - Oxford, England and New York, NY, USA: Oxford University Press UK.
What Makes a Scientific Explanation Distinctively Mathematical?Marc Lange - 2013 - British Journal for the Philosophy of Science 64 (3):485-511.

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