Description: Essence of Numbers : Lecture Notes in Mathematics, Paperback by Patras, Frédéric, ISBN 3030566994, ISBN-13 9783030566999, Brand New, Free shipping in the US
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 (Euclids 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.
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Book Title: Essence of Numbers : Lecture Notes in Mathematics
Number of Pages: Xi, 176 Pages
Language: English
Publication Name: Essence of Numbers
Publisher: Springer International Publishing A&G
Publication Year: 2020
Subject: Philosophy & Social Aspects, History & Philosophy, Social History
Type: Textbook
Item Weight: 16 Oz
Subject Area: Mathematics, Science, History
Item Length: 9.3 in
Author: Édéric Patras
Series: Lecture Notes in Mathematics Ser.
Item Width: 6.1 in
Format: Trade Paperback
