Rules to Infinity

An excellent book for anyone who wants to think seriously about how mathematical explanations work in science, and especially for those who think this may have important consequences for a Platonic view of mathematics. * Alan Sidelle, Professor of Philosophy, University of Wisconsin-Madison * Rules to Infinity is one of the most creative and insightful books written on the relationship between mathematics and scientific explanation in several decades. At a time when many philosophical discussions on these issues travel well-worn paths, Mark Povich's work charts a new and exciting course. * Kareem Khalifa, Professor of Philosophy, University of California, Los Angeles * The kind of philosophy I like best involves connecting seemingly disparate ideas to solve a stubborn philosophical problem in an unexpected way. That is exactly what Mark Povich achieves. This is a wonderful contribution to the debate! * Agustín Rayo, Professor of Philosophy, Massachusetts Institute of Technology * This book is essential reading for those working on scientific explanation, scientific representation and the metaphysical interpretation of pure mathematics. * Christopher Pincock, The Ohio State University * Mark Povich's ontic conception of scientific explanation, combined with his deflationary conception of mathematics, has many attractive features, but also faces significant challenges. Povich offers vigorous arguments in defense of this combination, as well as incisive comparisons to rival accounts. * Marc Lange, University of North Carolina at Chapel Hill * If you thought scientific explanations are made true by the facts, you might wonder what makes mathematical assertions true. Mark Povich provides a subtly defended and illuminating approach to these and related questions, bringing together topics that are often treated as orthogonal. The result is an important, timely, and most impressive book. * John Heil, Washington University in St. Louis *