Reduction in Science Structure, Examples, Philosophical Problems

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SYNTHESE LIBRARY

STUDIES IN EPISTEMOLOGY, LOGIC, METHODOLOGY, AND PHILOSOPHY OF SCIENCE

Managing Editor: JAAKKO HINTIKKA,

Florida State University, Tallahassee Editors:

DoNALD DAVIDSON, University of California, Berkeley GABRIEL NUCHELMANS, University of Leyden WESLEY C. SALMON, University of Pittsburgh

VOLUME 175

REDUCTION IN SCIENCE Structure, Examples, Philosophical Problems

Edited by WOLFGANG BALZER Universitiit Munchen

DAVID A. PEARCE Institut fur Philosoph ie, Freie Universitiit Berlin

HEINZ-JVRGEN SCHMIDT Fachbereich Physik der Universitiit Osnabruck

D. REIDEL PUBLISHING COMPANY A MEMBER OF THE KLUWER ' " ACADEMIC PUBLISHERS GROUP

DORDRECHT/BOSTON/LANCASTER

library of Congress Cataloging in Publication Data Main entry under title: Reduction in science. (Synthese library; v. 175) Papers presented at the colloquium "Reduktion in der Wissenschaft: Struktur, Beispiele, philosophischc Probleme," held in Bielefeld, West Germany, July 18-21, 1983. Bibliography: p. Includes index. 1. Science-Theory reduction-Congresses. I. Balzer, W. (Wolfgang) II. Pearce, David A., 1952Ill. Schmidt, H.-J. (Heinz-Jiirgen), 1948Q175.R344 1984 501 84-13389 ISBN-I3: 978-94-009-6456-3 e-ISBN-13: 978-94-009-6454-9 DOl: 10.1007/978-94-009-6454-9

Published by D. Reidel Publishing Company, P.O. Box 17,3300 AA Dordrecht, Holland. Sold and distributed in the U.S.A. and Canada by Kluwer Academic Publishers, 190 Old Derby Street, Hingham, MA 02043, U.S.A. In all other countries, sold and distributed by Kluwer Academic Publishers Group, P.O. Box 322, 3300 AH Dordrecht, Holland.

All Rights Reserved © 1984 by D. Reidel Publishing Company, Dordrecht, Holland

Softcover reprint of the hardcover 1st edition No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical including photocopying, recording or by any information storage and retrieval system, without written permission from the copyright owner

CONTENTS Preface •••••••••••••••••••••••••••••••••••••••••••••••

v1i

Introduction •••••••••••••••••••.••••••••••••••••••••••

1

Wiadysiaw KRAJEWSKI, May We Identify Reduction and Explanation of Theories? •.•••••••••••••••••••••••••••

11

Gunther LUDWIG, Restriction and Embedding •••••••••••••

17

W. HOERING, Anomalies of Reduction ••••••••••••••••••••

33

C. Ulises MOULINES, Ontological Reduction in the Natural Sc iences ••••••••••••••••••••••.•••••••••••••••••••••••

51

E. SCHEIBE, Explanation of Theories and the Problem of Progress in Physics •••••••••••••••••••••••••••••••••••

71

Joseph D. SNEED, Reduction, Interpretation and Invariance ••••••••••••••••••••.•••••••••••••••••••••••

95

Gerhard VOLLMER, Reduction and Evolution - Arguments and Examples, ••••••••••••••••••••••••••••••••••••••.••

131

David PEARCE and Veikko RANTALA, Limiting Case Correspondence between Physical Theories •••••.••••••••

153

Dieter MAYR, Contact Structures, Predifferentiability and Approximation •••••••••••••••••••••••••••••••••••••

187

Heinz-Jlirgen SCHMIDT,