| 書目名稱 | The Essence of Numbers | | 編輯 | Frédéric Patras | | 視頻video | http://file.papertrans.cn/909/908929/908929.mp4 | | 概述 | This is a unique book which systematically addresses the conceptual nature of numbers.Combines mathematics, philosophy and history as tools to account for the existence and essence of numbers.Draws on | | 叢書名稱 | Lecture Notes in Mathematics | | 圖書封面 |  | | 描述 | .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, fr | | 出版日期 | Book 2020 | | 關(guān)鍵詞 | Aristotle; Concept of Number; Georg Cantor; Gottlob Frege; Historical Epistemology; Mathematical Logic in | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-56700-2 | | isbn_softcover | 978-3-030-56699-9 | | isbn_ebook | 978-3-030-56700-2Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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