Inconsistency in Science
For centuries, inconsistencies were seen as a hindrance to good reasoning, and their role in the sciences was ignored. In recent years, however, logicians as well as philosophers and historians have showed a growing interest in the matter. Central to this
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ORIGINS Studies in the sources of scientific creativity Volume 2 Managing Editor:
Fernand Hallyn, University of Ghent, Belgium
Editorial Board:
Gillian Beer, Cambridge University, U.K. James J. Bono, State University of New York, Buffalo, U.S.A. Marc de Mey, University of Ghent, Belgium Thomas Da Costa Kaufman, Princeton University, U.S.A. Peter Galison, Harvard University, U.S.A. Paolo Galluzzi, Istituto e Museo di Storia delle Science, Firenze, Italy Rom Harre, Oxford University, U.K. Peter Machamer, University of Pittsburgh, U.S.A. Arthur I. Miller, University College London, U.K. William Shea, University of Strasbourg, France Gerard Simon, University of Lille III, France Geert Vanpaemel, University of Leuven, Belgium Peter Weingart, University of Bielefeld, Germany SCOPE The aim of the series is to present historical and theoretical studies on the sources of scientific creativity. The series provides a platform for various transdisciplinary viewpoints. Indeed, on the one hand, the origins of scientific creativity should be studied in the light of its relations with sources of creativity in other disciplines (literary, artistic), in order to illuminate the particular scientific element in the genesis of scientific innovation. On the other hand, the complexity of the topic necessitates a variety of approaches, where logic, cognitive studies, poetics, rhetoric, history of ideas and other disciplines meet in a common interrogation. In short, the series welcomes studies which integrate philosophy and history of science in a broad, diversified field of research, where there is room for a great variety of perspectives with different methodological and conceptual references and where isolationism as well as reductionism are avoided.
Inconsistency in Science Edited by
JOKEMEHEUS Ghent University, Ghent, Belgium
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Springer-Science+Business Media, B.V.
A C.I.P. Catalogue record for this book is available from the Library of Congress.
ISBN 978-90-481-6023-5 ISBN 978-94-017-0085-6 (eBook) DOl 10.1007/978-94-017-0085-6
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 of the work.
CONTENTS
Preface
Vll
From Copernicus to Ptolemy: Inconsistency and Method Thomas Nickles Inconsistent Reasoning toward Consistent Theories Arthur 1. Miller
35
Inconsistencies in the History of Mathematics Jean Paul Van Bendegem
43
Mathematical Change and Inconsistency Otavio Bueno
59
Approximate Truth Bryson Brown
81
Inconsistency in Science: A Partial Perspective Newton
