(DOWNLOAD) "Mathematical Knowledge and the Interplay of Practices" by Jos茅 Ferreir贸s # eBook PDF Kindle ePub Free
eBook details
- Title: Mathematical Knowledge and the Interplay of Practices
- Author : Jos茅 Ferreir贸s
- Release Date : January 22, 2015
- Genre: Science & Nature,Books,Nonfiction,Philosophy,Professional & Technical,Mathematics,Education,Epistemology,
- Pages : * pages
- Size : 9698 KB
Description
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茅 Ferreir贸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贸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贸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.
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