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ABRAHAM ROBINSON A B R A H A M R O B I N S O N (1918-1974) from a portrait by Rudolph F. Zallinger Abraham Robinson The Creation ofNonstandard Analysis A Personal and Mathematical Odyssey JOSEPH WARREN DAUBEN PRINCETON UNIVERSITY PRESS, PRINCETON, NEWJERSEY Copyright © 1995 by Princeton University Press Published by Princeton University Press, 41 William Street, Princeton, New Jersey 08540 In the United Kingdom: Princeton University Press, Chichester, West Sussex All Rights Reserved Library of Congress Cataloging-in-Publication Data Dauben, Joseph Warren, 1944Abraham Robinson : the creation of nonstandard analysis : a personal and mathematical odyssey / Joseph Warren Dauben. p. cm. Includes bibliographical references and index. ISBN 0-691-03745-0 1. Robinson, Abraham, 1918-1974. 2. Mathematicians—GermanyBiography . 3. Nonstandard mathematical analysis. I. Robinson, Abraham, 1918-1974. II. Title. QA29.R57D38 1995 510'.92-dc20 [B] 94-32715 This book has been composed in ITC New Baskerville Princeton University Press books are printed on acid-free paper and meet the guidelines for permanence and durability of the Committee on Production Guidelines for Book Longevity of the Council on Library Resources Printed in the United States of America 10 9 8 7 6 5 4 3 2 1 TRIUMVIRATUS Garrett Birkhoff I. Bernard Cohen Dirk J. Struik And with special thanks to Hannah Katzenstein, who first showed me the historic beauty of Jerusalem, that Stadt aus Gold, from the walls of the Old City on a crisp winter's day in January of 1982. ...