eBook - ePub

Mathematical Knowledge and the Interplay of Practices

Name: Mathematical Knowledge and the Interplay of Practices
Author: José Ferreirós

José Ferreirós,

360 pages
English
ePUB (mobile friendly)
Available on iOS & Android

eBook - ePub

Mathematical Knowledge and the Interplay of Practices

José Ferreirós,

About this book

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.

Describing a historically oriented, agent-based philosophy of mathematics, Ferreirós 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. Ferreirós 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.

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Yes, you can access Mathematical Knowledge and the Interplay of Practices by José Ferreirós in PDF and/or ePUB format, as well as other popular books in Philosophy & Applied Mathematics. We have over one million books available in our catalogue for you to explore.