Trading Ontology for Ideology The Interplay of Logic, Set Theory and
Willard VanOrman Quine has probably been the most influential th American philosopher of the 20 century. His work spans over seven decades, and covers many domains in philosophy. He has made major contributions to the fields of logic and set theory, philo
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SYNTHESE LIBRARY STUDIES IN EPISTEMOLOGY, LOGIC, METHODOLOGY, AND PHILOSOPHY OF SCIENCE
Managing Editor:
JAAKKO HlNTIKKA, Boston University, U.S.A.
Editors: DIRK VAN DALEN, University of Utrecht, The Netherlands DONALD DAVIDSON, University of California, Berkeley, U.S.A. THEO A.F. KUIPERS, University of Groningen, The Netherlands PATRICK SUPPES, Stanford University, California, U.S.A. lAN WOLENSKI, Jagiellonian University, Krakow, Poland
VOLUME 313
TRADING ONTOLOGY
FOR IDEOLOGY
The Interplay of Logic, Set Theory and Semantics in Quine's Philosophy by
LIEVEN DECOCK University of Leuven, Leuven, Belgium, University ofTilburg, Tilburg, The Netherlands
SPRINGER-SCIENCE+BUSINESS MEDIA, B.V.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-90-481-6121-8 ISBN 978-94-017-3575-9 (eBook) DOI 10.1007/978-94-017-3575-9
Printed on acid-free paper
All Rights Reserved © 2002 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2002 Softcover reprint of the hardcover 1st edition 2002 No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser ofthe work.
Bargle. Dh very well. But behold: there are as many holes in my piece of cheese as in yours. Do you agree? Argle. I'll take your word for it without even counting: there are as many holes in mine as in yours. But what I mean by that is that either both pieces are singly-perforated, or both doubly-perforated, or both are triply-perforated, and so on. Bargle. What a lot of different shape-predicates you know! However did you find time to learn them all? And what does 'and so on' mean?
From "Holes" by David and Stephanie Lewis
TABLE OF CONTENTS
Introduction ................................................................................................. ix Acknowledgments ....................................................................................... xv
Chapter 1. Ontology and quantification ..................................................... 1 1.1 To be is to be the value of a variable ........................................................ 2 1.2 Cross-reference ......................................................................................... 8 1.3 Objectual quantification ......................................................................... 16
Chapter 2. Nominalism and realism ......................................................... 27 2.1 A nominalistic programme ..................................................................... 28 2.2 Nominalism and ideology ....................................................................... 33 2.3 Nominalism, conceptualism and platonism ........................................
