Theoretic Arithmetic

Theoretic arithmetic PDF
Author: Thomas Taylor
Publisher:
ISBN:
Size: 25.38 MB
Format: PDF, ePub, Docs
Category : Arithmetic
Languages : en
Pages : 298
View: 3890

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Theoretic Arithmetic

by Thomas Taylor, Theoretic Arithmetic Books available in PDF, EPUB, Mobi Format. Download Theoretic Arithmetic books,


Theoretic Arithmetic Of The Pythagoreans 1816

Theoretic Arithmetic of the Pythagoreans 1816 PDF
Author: Thomas Taylor
Publisher: Kessinger Publishing
ISBN: 9780766128323
Size: 47.15 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 292
View: 1735

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Theoretic Arithmetic Of The Pythagoreans 1816

by Thomas Taylor, Theoretic Arithmetic Of The Pythagoreans 1816 Books available in PDF, EPUB, Mobi Format. Download Theoretic Arithmetic Of The Pythagoreans 1816 books, Containing the substance of all that has been written on this subject by Theo of Smyrna, Nicomachus, Iamblichus, and Boetius. Together with some remarkable particulars respecting perfect, amicable, and other number, which are not to be found in the writings of any ancient or modern mathematicians. Likewise, a specimen of the manner in which the Pythagoreans philosophized about number; and a development of their mystical and theological arithmetic.


Mathematical Knowledge And The Interplay Of Practices

Mathematical Knowledge and the Interplay of Practices PDF
Author: José Ferreirós
Publisher: Princeton University Press
ISBN: 0691167516
Size: 41.41 MB
Format: PDF
Category : Science
Languages : en
Pages : 360
View: 312

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Mathematical Knowledge And The Interplay Of Practices

by José Ferreirós, Mathematical Knowledge And The Interplay Of Practices Books available in PDF, EPUB, Mobi Format. Download Mathematical Knowledge And The Interplay Of Practices books, 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.