Mathematical Knowledge and the Interplay of Practices

Jose Ferreiros

ISBN 10: 0691167516 ISBN 13: 9780691167510

Editore: Princeton University Press, 2015

Lingua: Inglese

Condizione: Nuovo Rilegato

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Dati bibliografici

Titolo

Mathematical Knowledge and the Interplay of Practices

Editore

Princeton University Press

Data di pubblicazione

2015

Lingua

Inglese

ISBN 10

0691167516

ISBN 13

9780691167510

Rilegatura

HRD

Condizione

New

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Descrizione articolo

Riassunto

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, Jos� Ferreir�s 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, Ferreir�s shows how the mathematical tradition evolved from Euclidean geometry to the real numbers and set-theoretic structures. He argues for the need to take into account a whole web of mathematical and other practices that are learned and linked by agents, and whose interplay acts as a constraint. Ferreir�s demonstrates how advanced mathematics, far from being a priori, is based on hypotheses, in contrast to elementary math, which has strong cognitive and practical roots and therefore enjoys certainty.

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.

Informazioni sull?autore

Jos� Ferreir�s 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.

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