The nature of mathematical explanation

Studies in History and Philosophy of Science Part A 39 (2):202-210 (2008)
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Abstract

Although in the past three decades interest in mathematical explanation revived, recent literature on the subject seems to neglect the strict connection between explanation and discovery. In this paper I sketch an alternative approach that takes such connection into account. My approach is a revised version of one originally considered by Descartes. The main difference is that my approach is in terms of the analytic method, which is a method of discovery prior to axiomatized mathematics, whereas Descartes’s approach is in terms of the analytic–synthetic method, which is a heuristic pattern in already axiomatized mathematics

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Citations of this work

Mathematical Explanation beyond Explanatory Proof.William D’Alessandro - 2017 - British Journal for the Philosophy of Science 71 (2):581-603.
Against Mathematical Explanation.Mark Zelcer - 2013 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 44 (1):173-192.
Mathematical Explanation: A Contextual Approach.Sven Delarivière, Joachim Frans & Bart Van Kerkhove - 2017 - Journal of Indian Council of Philosophical Research 34 (2):309-329.
Is Mathematics a Domain for Philosophers of Explanation?Erik Weber & Joachim Frans - 2017 - Journal for General Philosophy of Science / Zeitschrift für Allgemeine Wissenschaftstheorie 48 (1):125-142.

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References found in this work

Studies in the logic of explanation.Carl Gustav Hempel & Paul Oppenheim - 1948 - Philosophy of Science 15 (2):135-175.
Explanatory unification and the causal structure of the world.Philip Kitcher - 1962 - In Philip Kitcher & Wesley C. Salmon (eds.), Scientific Explanation. Univ of Minnesota Pr. pp. 410-505.
Collected works.Kurt Gödel - 1986 - New York: Oxford University Press. Edited by Solomon Feferman.
Mathematical explanation.Mark Steiner - 1978 - Philosophical Studies 34 (2):135 - 151.
Explanation, independence and realism in mathematics.Michael D. Resnik & David Kushner - 1987 - British Journal for the Philosophy of Science 38 (2):141-158.

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