Mathematics as a Science of Patterns

Oxford, GB: Oxford University Press UK (1997)
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Abstract

Mathematics as a Science of Patterns is the definitive exposition of 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 defence of realism about the metaphysics of mathematics--the view that mathematics is about things that really exist. Resnik's distinctive philosophy of mathematics is here presented in an accessible and systematic form: it will be of value not only to specialists in this area, but to philosophers, mathematicians, and logicians interested in the relationship between these three disciplines, or in truth, realism, and epistemology.

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Chapters

The Elusive Distinction Between Mathematics and Natural Science

It is commonly believed that the epistemology of mathematics must be different from the epistemology of science because their objects are different in kind, i.e. metaphysically different. In this chapter, I want to suggest that some careful work must be done before we can take the distinct... see more

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Michael Resnik
University of North Carolina, Chapel Hill

Citations of this work

Abstract objects.Gideon Rosen - 2008 - Stanford Encyclopedia of Philosophy.
Scientific representation.Roman Frigg & James Nguyen - 2016 - Stanford Encyclopedia of Philosophy.
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