Mathematical Knowledge and the Interplay of Practices is popular PDF and ePub book, written by José Ferreirós in 2015-12-22, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Mathematical Knowledge and the Interplay of Practices can be Read Online from any device for your convenience.
Mathematical Knowledge and the Interplay of Practices Book PDF 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, 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.
Detail Book of Mathematical Knowledge and the Interplay of Practices PDF
- Author : José Ferreirós
- Release : 22 December 2015
- Publisher : Princeton University Press
- ISBN : 9780691167510
- Genre : Science
- Total Page : 357 pages
- Language : English
- PDF File Size : 16,6 Mb
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