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Mathematical Knowledge and the Interplay of Practices

English · Hardback

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Description

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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, José Ferreirós 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. Offering a wealth of philosophical and historical insights, Mathematical Knowledge and the Interplay of Practices challenges us to rethink some of our most basic assumptions about mathematics, its objectivity, and its relationship to culture and science.

About the author










José Ferreirós is professor of logic and philosophy of science at the University of Seville in Spain. He is the author of Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics and the coeditor of The Architecture of Modern Mathematics: Essays in History and Philosophy.

Summary

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, Jose Ferreiros uses the crucial idea of a continuum to provide an account of the development of mathematical knowledg

Additional text

"A valuable contribution to the literature on the epistemology and practice of mathematics, in which [Ferreirós] argues that mathematical knowledge is inseparable from the actual practices in which mathematicians engage."---Audrey Yap, Metascience

Product details

Authors Jose Ferreiros, José Ferreirós
Publisher Princeton University Press
 
Languages English
Product format Hardback
Released 31.12.2015
 
EAN 9780691167510
ISBN 978-0-691-16751-0
No. of pages 360
Subjects Natural sciences, medicine, IT, technology > Mathematics > Basic principles
Non-fiction book > Philosophy, religion > Philosophy: general, reference works

MATHEMATICS / History & Philosophy, Philosophy of Mathematics

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