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Philosophy of Mathematics:
Structure and Ontology
STEWART SHAPIRO
OXFORD UNIVERSITY PRESS
PHILOSOPHY
of
MATHEMATICS
This page intentionally left blank
PHILOSOPHY of
MATHEMATICS
Structure and Ontology
STEWART SHAPIRO
1
Oxford New York
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and associated companies in
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Copyright © 1997 by Stewart Shapiro
First published in1997 by Oxford University Press, Inc.
198 Madison Avenue, New York, New York 10016
First issued as an by Oxford University Press paperback, 2000
Oxford is a registered trademark of Oxford University Press.
All rights reserved. No part of this publication may be reproduced,
stored in a retrieval system, or transmitted, in any form or by any means,
electronic, mechanical, photocopying, recording or otherwise,
without the prior permission of Oxford University Press.
Library of Congress Cataloging-in-Publication Data
Shapiro, Stewart, 1951–
Philosophy of mathematics : structure and ontology / Stewart
Shapiro.
p. cm.
Includes bibliographical references and index.
ISBN 0-19-509452-2; 0-19-513930-5 (pbk)
1. Mathematics—Philosophy. I. Title.
QA8.4.S533 1997
510'.1—dc20
135798642
Printed in the United States of America
on acid-free paper
96-31722
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