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Mathematics as a Science of Patterns
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Mathematics as a Science of Patterns

Michael D. Resnik

Abstract

Mathematics is regarded as our most developed science, and yet philosophical troubles surface as soon as we inquire about its subject matter partly because mathematics itself says nothing about the metaphysical nature of its objects. Taking mathematics at face value seems to favour the Platonist view according to which mathematics concerns causally inert objects existing outside space‐time, but this view seems to preclude any account of how we acquire mathematical knowledge without using some mysterious intellectual intuition. In this book, I defend a version of mathematical realism, motivated ... More

Keywords: a priori, epistemology, evidence, holism, intuition, justification, logic, philosophy of mathematics, Platonism, pragmatism, Quine, Michael Resnik, science, structuralism

Bibliographic Information

Print publication date: 1999 Print ISBN-13: 9780198250142
Published to Oxford Scholarship Online: November 2003 DOI:10.1093/0198250142.001.0001

Authors

Affiliations are at time of print publication.

Michael D. Resnik, author
University of North Carolina, Chapel Hill
Author Webpage