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Mathematical Knowledge and the Interplay of Practices
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Mathematical Knowledge and the Interplay of Practices

José Ferreirós

Abstract

This book presents a new approach to the epistemology of mathematics by viewing mathematics as a human activity whose knowledge is intimately linked with practice. Charting an exciting new direction in the philosophy of mathematics, the book uses the crucial idea of a continuum to provide an account of the development of mathematical knowledge that reflects the actual experience of doing math and makes sense of the perceived objectivity of mathematical results. Describing a historically oriented, agent-based philosophy of mathematics, the book shows how the mathematical tradition evolved from ... More

Keywords: mathematics, mathematical knowledge, objectivity, practice, agents, Euclidean geometry, real numbers, advanced mathematics, hypotheses

Bibliographic Information

Print publication date: 2015 Print ISBN-13: 9780691167510
Published to Princeton Scholarship Online: October 2017 DOI:10.23943/princeton/9780691167510.001.0001

Authors

Affiliations are at time of print publication.

José Ferreirós, author
University of Sevilla