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Title: Mathematical Explanations and the Piecemeal Approach to Thinking about Explanation
Author(s): TÂRZIU, Gabriel
Journal: Logique et Analyse
Volume: 244    Date: 2018   
Pages: 457-487
DOI: 10.2143/LEA.244.0.3285351

Abstract :
A new trend in the philosophical literature on scientific explanation is that of starting from a case that has been somehow identified as an explanation and then proceed to bringing to light its characteristic features and to constructing an account for the type of explanation it exemplifies. This approach to thinking about explanation – the piecemeal approach, as I will call it – is used, among others, by Lange and Pincock in the context of their treatment of the problem of mathematical explanations of physical phenomena. This problem is of central importance in two different recent philosophical disputes: the dispute about the existence on non-causal scientific explanations and the dispute between realists and antirealists in the philosophy of mathematics. My aim in this paper is twofold. I will first argue that Lange and Pincock fail to make a significant contribution to these disputes. They fail to contribute to the dispute in the philosophy of mathematics because, in this context, their approach can be seen as question begging. They also fail to contribute to the dispute in the general philosophy of science because, as I will argue, there are important problems with the cases discussed by Lange and Pincock. I will then argue that the source of the problems with these two papers has to do with the fact that the piecemeal approach used to account for mathematical explanation is problematic.

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