METAPHORAND ANALOGY IN THE SCIENCES ORIGINS Studies in the sources of scientific creativity Volume 1 Managing Editor: Fernand Hallyn, University ofGhent, Belgium Editorial Board: Gillian Beer, Cambridge University, UK. James J. Bono, State University ofN ew York, Buffalo, USA. Marc de Mey, University ofGhent, Belgium Thomas Da Costa Kaufman, Princeton University, USA. Peter Galison, Harvard University, USA. Paolo Galluzzi, Istituto e Museo di Storia delle Science, Firenze, Italy Rom Harre, Oxford University, UK. Peter Machamer, University ofP ittsburgh, USA. Arthur 1. Miller, University College London, UK. William Shea, University ofStrasbourg, France Gerard Simon, University ofL ille 111, France Geert Vanpaemel, University ofL euven, Belgium Peter Weingart, University ofB ielefeld, 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 in novation. 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 va riety of perspectives with different methodological and conceptual references and where isolationism as weil as reductionism are avoided. Metaphor and Analogy in the Sciences Edited by FERNAND HALLYN University ofGhent, Belgium Springer-Science+Business Media, B.V. A C.LP. Catalogue re cord for this book is available from the Library of Congress. Printed on acid-free paper ISBN 978-90-481-5559-0 ISBN 978-94-015-9442-4 (eBook) DOI 10.1007/978-94-015-9442-4 All Rights Reserved © 2000 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2000. Softcover reprint ofthe hardcover 1st edition 2000 No part ofthe 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 TABLE OF CONTENTS PREFACE Vll Rom HARRE, J.L. ARONSON & Eileen C. WAY Apparatus as Models of Nature ............ . 1 Joke MEHEUS Analogical Reasoning in Creative Problem Solving Processes : Logico-Philosophical Perspectives .... ............ 17 Peter MACHAMER The Nature of Metaphor and Scientific Description ........ 35 Femand HALL YN Atoms and Letters ........................ 53 Gerard SIMON Analogies and Metaphors in Kepler............................... 71 William SHEA Looking at the Moon as another Earth. Terrestrial Analogies and Seventeenth-Century Telescopes............. 83 Jean Paul V AN BENDEGEM Analogy and Metaphor as Essential Tools for the W orking Mathematician............................................... 105 Rafael E. NUNEZ Conceptual Metaphor and the Embodied Mind : What Makes Mathematics Possible ? ...................................... 125 Arthur 1. MILLER Metaphor and Scientific Creativity ............................... 147 VI Gustaaf C. CORNELIS Analogical Reasoning in Modem Cosmological Thinking................ .... ...... ...... ........ ... .... ..... .... ... ........ ... 165 Daniela M. BAILER-JONES Scientific Models as Metaphors.................................... 181 Sabine MAASEN Metaphors in the Social Sciences : Making Use and Making Sense of Them ................................................ 199 PREFACE "Science constructs its objects": is this a metaphor? It does not necessarily mean anyway that the real does not pre-exist. Only that in the final instance it is the Other, of which we know neither the limits nor the figure and to which we only have access through the constructions we make of it. Or, in semiotic terms borrowed from Charles S. Peirce, the world is the 'dynamic object' that intervenes in science only through the 'immediate objects' that manifest themselves in signs. And even then the choice of the term 'immediate' is not entirely felicitous: it would be better to talk of 'mediated objects', since their conception is mediated by the conditions from which perception as weIl as the language that expresses it derive. The preference bestowed on certain constructions over others results from the slighter recalcitrance in imagining a dynamic object through one or another mediated object. This recalcitrance that prompts one to surrender constructions does not come directly from the real, from the dynamic object, but from other constructions. Again, this does not mean that reality does not ex ist, but that it only 'speaks', confirms and objects, to the extent that it is being questioned within a certain form, by certain instruments, in a certain language. Even if it appears recalcitrant, the dynamic object intervenes only through another construction. Man, not nature, decides on the form to be considered, the instruments and language to be adopted. What is more, recalcitrances are not always considered: divergences, facts that deviate from a construction, do not always suffice to make us give it up. What is needed is that they can be integrated in a new construction. Metaphor corresponds to a procedure that the subject can adopt in his conceptual transformations of conventional representations. The theory of metaphor is a theory of the abandonment of semantic convention and of the innovation of representations. In this sense it is often supposed to be generalisable, the more so since the construction of a scientific Vl11 object often happens by way of analogy, and the analogical construction is in turn associated as much with the notion of 'model' as with that of 'metaphor'. No doubt there are affinities between the analogical model and the stringed metaphor in as much as both presuppose the confrontation of two coherent sets of features (qualities, relations) that refer to two different objects. But is it possible to go any further ? Or does the assimilation of the analogical model to the stringed metaphor itself derive from metaphor - or from the analogical modelling of the very notion of the analogical model? The contributions that follow address different aspects of these questions with respect to the heuristic function of metaphor and of analogy. They have been presented at a conference organised at the University of Ghent in November 1997. I will not pretend to give them a unity or exhaustiveness here that on the whole they do not aim to possess. The first three contributions (Rom Harre with the collaboration of J.L. Aronson and Eileen C. Way, Joke Meheus, Peter Machamer) present general reflections on the presence, the working and the status of metaphor and analogy in the sciences. The three following articles (Fernand Hallyn, Gerard Simon, William Shea) focus on notable historical cases, since historie al distance often produces a better insight into some fundamental aspects of the problem. The next two contributions (Jean Paul Van Bendegem, Raphael Nufiez) are devoted to the intriguing presence of metaphor in that most abstract of sciences, mathematics. Modern physics (Arthur I. Miller), cosmology (Gustaaf Cornelis) and astronomy (Daniela Bailer-Jones) are dealt with in the three subsequent chapters, and, finall y, a detailed case study of the metaphorical links between the exact and the social sciences (Sabine Maasen) conc1udes the volume. Within this Iimited framework, the interest of the present volume resides in the diversity of approaches, of options and themes that may be found in it and that are intended as ever so many incitements for re engaging in reflection and in a renewal of the topic, both with regard to speeific issues in the history of science and to general questions coneerning scientific creativity. Fernand Hallyn Rom HARRE, J.L. ARONSON & Eileen C. WA Y AppA RATUS AS MODELS OF NATURE* The idea that theories are intimately involved with models has been a commonplace in the philosophy of science for generations, though there have been logicist challenges from time to time. But the application of the idea of modelling to the understanding of experimental apparatus and its role in science is relatively new. 1. A naturalistic analysis of scientific cognition showing the dual role of models As a preliminary characterisation of models we can use a simple principle, that a model, M, of something S, its subject, is an entity that bears some relevant similarity to S, but is not identical with it. In science the root idea of 'model' is iconic or entitative. The term is used in this sense in engineering, architecture and so on. I shall beg in by abstracting a schema from actual cases of scientific theorizing that highlights the place of models in the best account we can give of the work of the theoretician. By 'best account', I mean one which leaves the least in the phenomenon of scientific thought unaccounted for. Because the schema is derived from studies of real cases and not from a logicist apriori we can call this analysis 'naturalistic' . In the development of the * Acknowledgements: (1) Some of the material in this paper is drawn from J. Aronson, R. Harre and E.C. Way, Realism Rescued, London, Duckworth, 1996. (2) Some other material is drawn from R. Harre, 'Recovering the Experiment', Philosophy, LXXIII (1998), pp. 353-377. 1 F Hallyn (ed.), Metaphor and Analogy in the Sciences, 1-16. © 2000 Kluwer Academic Publishers. 2 Rom HARRE, J.L. ARONSON & Eileen C. W AY philosophical underpinnings of the analysis we shall eventually show how the naturalistic analysis is sustained by a formal structure, through which the content of a theory can be expressed at the highest level of abstraction as a segment of a type hierarchy. The structure revealed in a very large number of case studies can be pictured in the following way: Phenomena = 1 Descriptive - T - Explanatory =2 Generative model model mechanism where 'r is a theoretical discourse, mapping the two models on to one another by linking descriptions of states of each by causal or reductionist hypotheses. So the genetic code is linked causally to somatic structures, while the mean kinetic energy of the molecules is the temperature of the gas. The relations '= l' and ' = 2' which express the model to subject links, are idealization/abstraction and analogy respectively. It should be emphasized that they are relations of degrees of resemblance. The details in any particular case could be expressed in terms of similarities and differences between the model and what it represents. There is nothing mysterious ab out these relations since models and what they are analogues of or abstractions from, are entities of the same metaphysical status, namely, in a general sense, things, occupants of space and time. The relation between 'T', the theoretical discourse, and the models it describes is 'interna!'. That is there is always a mutual adjustment so that the models fit the descriptions in the theory and the theory is modified so that it will always fit the models, as they are adjusted to maintain their fit with the real world entities they resemble. According to the naturalistic account of 'model insertion', descriptive models are used to simplify the phenomena. Explanatory models are used to fill a gap in our knowledge. In many cases the mechanisms that generate phenomena are not observable by the same means as the phenomena they produce. Explanatory models are introduced . as analogues of unknown mechanisms and processes. The history of science shows that technical advances have often made possible the examination of both sides of the analogy, so to say, when some means has been found for observing or manipulating the mechanism itself. In this naturalistic treatment I have tried to remain faithful to the practice of the scientific community, at least as it has developed
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