Mechanistic Explanation and Explanatory Proofs in Mathematics

Philosophia Mathematica 22 (2):231-248 (2014)
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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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Joachim Frans
Vrije Universiteit Brussel

Citations of this work

There Are No Mathematical Explanations.Jaakko Kuorikoski - 2021 - Philosophy of Science 88 (2):189-212.
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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