Mathematics as a science of patterns

New York ;: Oxford University Press (1997)
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Abstract

This book expounds a system of ideas about the nature of mathematics which Michael Resnik has been elaborating for a number of years. In calling mathematics a science he implies that it has a factual subject-matter and that mathematical knowledge is on a par with other scientific knowledge; in calling it a science of patterns he expresses his commitment to a structuralist philosophy of mathematics. He links this to a defense of realism about the metaphysics of mathematics--the view that mathematics is about things that really exist.

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Michael Resnik
University of North Carolina, Chapel Hill

Citations of this work

What are groups?Katherine Ritchie - 2013 - Philosophical Studies 166 (2):257-272.
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