Zermelo s1930d
For the three years 1929 through 1931 Zermelo was supported by a fellowship provided by the Notgemeinschaft der Deutschen Wissenschaft, the Emergency Association of German Science. This association was founded in 1920 by the leading German academies and s
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ERNST ZERMELO
Collected Works Gesammelte Werke
123
Zermelo in 1907
ERNST ZERMELO Collected Works Gesammelte Werke
Responsible for the whole edition Verantwortlich für die gesamte Edition: Heinz-Dieter Ebbinghaus, Craig G. Fraser, Akihiro Kanamori
ERNST ZERMELO
Collected Works Gesammelte Werke
VOLUME I BAND I
Set Theory, Miscellanea Mengenlehre, Varia VOLUME II BAND II
Calculus of Variations, Applied Mathematics, and Physics Variationsrechnung, Angewandte Mathematik und Physik
ERNST ZERMELO Collected Works Gesammelte Werke VOLUME I BAND I
Set Theory, Miscellanea Mengenlehre, Varia Edited by Herausgegeben von Heinz-Dieter Ebbinghaus, Akihiro Kanamori
123
Editors Herausgeber
Heinz-Dieter Ebbinghaus University of Freiburg, Germany Craig G. Fraser University of Toronto, ON, Canada Akihiro Kanamori Boston University, MA, USA
ISBN 978-3-540-79383-0 e-ISBN 978-3-540-79384-7 DOI 10.1007/978-3-540-79384-7 Springer Heidelberg Dordrecht London New York Library of Congress Control Number: 2009942805 Mathematics Subject Classification (2000): 01A70, 01A75, 03B60, 03E25, 03E30, 03E45, 03E55, 11A41, 91A05 © Springer-Verlag Berlin Heidelberg 2010 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, 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. Cover design: WMXDesign GmbH, Heidelberg Typesetting and production: le-tex publishing services GmbH, Leipzig Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Preface to the Zermelo edition This is a complete edition of the published works of Ernst Zermelo which moreover includes selected correspondence and unpublished manuscripts. Zermelo is generally acknowledged for his pioneering work in axiomatic set theory and for introducing the axiom of choice as a basic principle of mathematics. In contrast, his work in applied mathematics and physics, despite its originality, is hardly recognized or has even been attributed to others. This edition of Zermelo’s collected works provides a picture of the entire mathematician. It appears in two volumes. The first volume comprises Zermelo’s published papers in set theory and the foundation of mathematics together with isolated papers of an algebraic, analytic, or number-theoretic character. The second volume is dedicated to Zermelo’s work in the
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