Mechanistic Explanation and Explanatory Proofs in Mathematics

Philosophia Mathematica 22 (2):231-248 (2014)

Authors
Joachim Frans
Vrije Universiteit Brussel
Abstract
Although there is a consensus among philosophers of mathematics and mathematicians that mathematical explanations exist, only a few authors have proposed accounts of explanation in mathematics. These accounts fit into the unificationist or top-down approach to explanation. We argue that these models can be complemented by a bottom-up approach to explanation in mathematics. We introduce the mechanistic model of explanation in science and discuss the possibility of using this model in mathematics, arguing that using it does not presuppose a Platonist view of mathematics and allows one to gain insight into why a theorem is true by answering what-if-things-had-been-different questions
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DOI 10.1093/philmat/nku003
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References found in this work BETA

Explaining the Brain.Carl F. Craver - 2009 - Oxford University Press.
Thinking About Mechanisms.Peter K. Machamer, Lindley Darden & Carl F. Craver - 2000 - Philosophy of Science 67 (1):1-25.
Explanation: A Mechanist Alternative.William Bechtel - 2005 - Studies in History and Philosophy of Biol and Biomed Sci 36 (2):421--441.

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