Feferman on Foundations Logic, Mathematics, Philosophy

This volume honours the life and work of Solomon Feferman, one of the most prominent mathematical logicians of the latter half of the 20th century. In the collection of essays presented here, researchers examine Feferman’s work on mathematical as well as

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Gerhard Jäger Wilfried Sieg Editors

Feferman on Foundations Logic, Mathematics, Philosophy

Outstanding Contributions to Logic Volume 13

Editor-in-chief Sven Ove Hansson, Royal Institute of Technology, Stockholm, Sweden Editorial Board Marcus Kracht, Universität Bielefeld Lawrence Moss, Indiana University Sonja Smets, Universiteit van Amsterdam Heinrich Wansing, Ruhr-Universität Bochum

More information about this series at http://www.springer.com/series/10033

Gerhard Jäger Wilfried Sieg •

Editors

Feferman on Foundations Logic, Mathematics, Philosophy

123

Editors Gerhard Jäger Institut für Informatik Universität Bern Bern Switzerland

Wilfried Sieg Department of Philosophy Carnegie Mellon University Pittsburgh, PA USA

ISSN 2211-2758 ISSN 2211-2766 (electronic) Outstanding Contributions to Logic ISBN 978-3-319-63332-9 ISBN 978-3-319-63334-3 (eBook) DOI 10.1007/978-3-319-63334-3 Library of Congress Control Number: 2017946959 © Springer International Publishing AG, part of Springer Nature 2017 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. 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. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by the registered company Springer International Publishing AG part of Springer Nature The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland

Foreword

Sol Feferman and I have quite similar backgrounds. We were both born in the Bronx in 1928 to East European Jewish parents. As teenagers we had similar interests: we both thought of theoretical physics as a likely professional goal, and we both read the same science fiction authors as well as the same popularizers James Jeans and Arthur Eddington. And we both moved from physics to mathematics and indeed to logic and foundations. I was at the 5-week Institute for Logic at Cornell during the summer of 1957 that Sol wrote about in his autobiography. I do not remember whether I heard Sol’s t