The Essence of Numbers (Paperback, 1st ed. 2020)

This book considers the manifold possible approaches, past and present, to our understanding of the natural numbers. They are treated as epistemic objects: mathematical objects that have been subject to epistemological inquiry and attention throughout their history and whose conception has evolved accordingly. Although they are the simplest and most common mathematical objects, as this book reveals, they have a very complex nature whose study illuminates subtle features of the functioning of our thought. Using jointly history, mathematics and philosophy to grasp the essence of numbers, the reader is led through their various interpretations, presenting the ways they have been involved in major theoretical projects from Thales onward. Some pertain primarily to philosophy (as in the works of Plato, Aristotle, Kant, Wittgenstein...), others to general mathematics (Euclid's Elements, Cartesian algebraic geometry, Cantorian infinities, set theory...). Also serving as an introduction to the works and thought of major mathematicians and philosophers, from Plato and Aristotle to Cantor, Dedekind, Frege, Husserl and Weyl, this book will be of interest to a wide variety of readers, from scholars with a general interest in the philosophy or mathematics to philosophers and mathematicians themselves.

General

Imprint:	Springer Nature Switzerland AG
Country of origin:	Switzerland
Series:	History of Mathematics Subseries, 2278
Release date:	October 2020
First published:	2020
Authors:	Frederic Patras
Dimensions:	235 x 155 x 19mm (L x W x T)
Format:	Paperback
Pages:	176
Edition:	1st ed. 2020
ISBN-13:	978-3-03-056699-9
Languages:	English
Subtitles:	French
Categories:	Books > Science & Mathematics > Mathematics > Philosophy of mathematics Books > Science & Mathematics > Mathematics > History of mathematics Books > Science & Mathematics > Science: general issues > Philosophy of science Books > Humanities > History > History of specific subjects > Social & cultural history Books > Humanities > Philosophy > Western philosophy > Modern Western philosophy, c 1600 to the present > Western philosophy, from c 1900 - > Phenomenology & Existentialism Books > History > History of specific subjects > Social & cultural history Books > Philosophy > Western philosophy > Modern Western philosophy, c 1600 to the present > Western philosophy, from c 1900 - > Phenomenology & Existentialism
LSN:	3-03-056699-4
Barcode:	9783030566999

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