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The Essence of Numbers

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	The Essence of Numbers/ by Frédéric Patras.
作者:	Patras, Frédéric.
面頁冊數:	XI, 176 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Phenomenology. -
電子資源:	https://doi.org/10.1007/978-3-030-56700-2
ISBN:	9783030567002

The Essence of Numbers
Patras, Frédéric.

The Essence of Numbers[electronic resource] /by Frédéric Patras. - 1st ed. 2020. - XI, 176 p. 1 illus.online resource. - History of Mathematics Subseries,22782193-1771 ;. - History of Mathematics Subseries,2162.

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.

ISBN: 9783030567002

Standard No.: 10.1007/978-3-030-56700-2doiSubjects--Topical Terms:

555526
Phenomenology.

LC Class. No.: QA21-27

Dewey Class. No.: 510.9

The Essence of Numbers
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