Explanation and Realism: Interwoven Themes in the Philosophy of Mathematics

In Carl Posy & Yemima Ben-Menahem, Mathematical Knowledge, Objects and Applications: Essays in Memory of Mark Steiner. Springer. pp. 41-58 (2023)
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Abstract

Mathematical explanation is a topic of great contemporary interest in the philosophy of mathematics. The question of whether mathematics can play an explanatory role in empirical science is thought by many to be the key to making progress on the realism versus anti-realism debate in the philosophy of mathematics. Questions about explanation within mathematics are also interesting and are important for the development of a general account of explanation. In a series of groundbreaking papers from 1978 to 1983, Mark Steiner set the agenda for much of the modern debate about mathematical explanation. In the present paper we look at Steiner’s role in advancing mathematical explanation as a central topic in the philosophy of mathematics and his legacy for the modern debates about mathematical explanation.

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Michael Resnik
University of North Carolina, Chapel Hill
Mark Colyvan
University of Sydney

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