Pragmatic Platonism
It is argued that to a greater or less extent, all mathematical knowledge is empirical.
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Eugenio G. Omodeo Alberto Policriti Editors
Martin Davis on Computability, Computational Logic, and Mathematical Foundations
Outstanding Contributions to Logic Volume 10
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
Eugenio G. Omodeo Alberto Policriti •
Editors
Martin Davis on Computability, Computational Logic, and Mathematical Foundations
123
Editors Eugenio G. Omodeo University of Trieste Trieste Italy
Alberto Policriti University of Udine Udine Italy
ISSN 2211-2758 ISSN 2211-2766 (electronic) Outstanding Contributions to Logic ISBN 978-3-319-41841-4 ISBN 978-3-319-41842-1 (eBook) DOI 10.1007/978-3-319-41842-1 Library of Congress Control Number: 2016954526 © Springer International Publishing Switzerland 2016 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. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
This book is dedicated to the memory of Hilary Putnam.
Foreword
I am honored to write a brief foreword to this volume dedicated to the many logical issues on which Martin has shed light during his illustrious career. I first met Martin at the Cornell 1957 Summer Institute in Symbolic Logic. This meeting proved very significant to the mathematical lives of many people who met there, including both of us: for him, Hilary Putnam and for me, J. Barkley Rosser. This meeting precipitated the formation of an international research community in mathematical logic whose influence on logic and computer science is strong even after sixty years. What I learned then about Martin was the universality of his interests, his utter
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