Proofs of the Cantor-Bernstein Theorem A Mathematical Excursion
This book offers an excursion through the developmental area of research mathematics. It presents some 40 papers, published between the 1870s and the 1970s, on proofs of the Cantor-Bernstein theorem and the related Bernstein division theorem. While the em
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Arie Hinkis
Proofs of the Cantor-Bernstein Theorem A Mathematical Excursion
Science Networks. Historical Studies
Science Networks. Historical Studies Founded by Erwin Hiebert and Hans Wußing Volume 45
Edited by Eberhard Knobloch, Helge Kragh and Volker Remmert
Editorial Board: K. Andersen, Amsterdam H.J.M. Bos, Amsterdam U. Bottazzini, Roma J.Z. Buchwald, Pasadena K. Chemla, Paris S.S. Demidov, Moskva M. Folkerts, München P. Galison, Cambridge, Mass. I. Grattan-Guinness, London J. Gray, Milton Keynes R. Halleux, Liège
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S. Hildebrandt, Bonn D. Kormos Buchwald, Pasadena Ch. Meinel, Regensburg J. Peiffer, Paris W. Purkert, Bonn D. Rowe, Mainz A.I. Sabra, Cambridge, Mass. Ch. Sasaki, Tokyo R.H. Stuewer, Minneapolis V.P. Vizgin, Moskva
Arie Hinkis
Proofs of the Cantor-Bernstein Theorem A Mathematical Excursion
Arie Hinkis The Cohn Institute for the History and Philosophy of Science and Ideas Tel Aviv University Tel Aviv Israel [email protected]
ISBN 978-3-0348-0223-9 ISBN 978-3-0348-0224-6 (eBook) DOI 10.1007/978-3-0348-0224-6 Springer Heidelberg New York Dordrecht London Library of Congress Control Number: 2012949083 # Springer Basel 2013 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. € Cover illustration: From Waller Ms de-00215, August Beer: Uber die Correction des Cosinusgesetzes bei der Anwendung des Nicol’schen Prismas in der Photometrie, after 1
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