Meanest Foundations and Nobler Superstructures Hooke, Newton and the

This book is a historical-epistemological study of one of the most consequential breakthroughs in the history of celestial mechanics: Robert Hooke's (1635-1703) proposal to "compoun[d] the celestial motions of the planets of a direct motion by the tangent

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BOSTON STUDIES IN THE PHILOSOPHY OF SCIENCE

Editors ROBERT S. COHEN, Boston University JÜRGEN RENN, Max-Planck-Institute for the History of Science KOSTAS GAVROGLU, University of Athens

Editorial Advisory Board THOMAS F. GLICK, Boston University ADOLF GRÜNBAUM, University of Pittsburgh SYLVAN S. SCHWEBER, Brandeis University JOHN J. STACHEL, Boston University MARX W. WARTOFSKYt, (Editor 1960-1997)

VOLUME 229

MEANEST FOUNDATIONS ANDNOBLER SUPERSTRUCTURES Hooke, Newton and the "Compounding of the Celestiall Motions of the Planetts"

by

OFERGAL Ben-Gurion University of the Negev, Beer-Sheva, Israel

'' ~·

SPRINGER-SCIENCE+BUSINESS MEDIA, B.V.

A C.I.P. Catalogue record for this book is available from the Library of Congress.

ISBN 978-90-481-6067-9 ISBN 978-94-017-2223-0 (eBook) DOI 10.1007/978-94-017-2223-0

Printedon acid-free paper

All Rights Reserved © 2002 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2002 Softcoverreprint ofthe bardeover Istedition 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.

For Yi and Hagar

TABLE OF CONTENTS PREFACE INTRODUCTION Part A: The Historical Question 1. Gallileo' s Challenge 2. The Correspondence 3. Hooke's Programme Part B: The Historiographie Difficulty 4. Hooke vs. Newton 5. The Genius vs. The Mechanic

ix

1 1 1

2 10 12 12 14

CHAPTER 1: INFLECTION Introduction: The BadEnding Part A: The Novelty 1. Hooke's Programme 2. Setting the Question Right Part B: Employing lnflection 3. Inflection 4. Application as Manipulation Part C: Producing Inflection in the Workshop 5. Construction 6. Implementation 7. Tentative Conclusion

17 17 19 19 22

1sT INTERLUDE: PRACTICE 1. Introduction - Methodological Lessons 2. Hacking 3. The Realism S nare

59 59 63

CHAPTER 2: POWER PartA 1. Introduction 2. De Potentia Restitutiva, or: Of Spring

83 83 83 86

34

35

42

44

53

57

69

CONTENTS

viii

Part B 3. 4. 5. Parte 6. 7. 8. 9.

Horology The Spring Watch Springs and Forces The Origins of the Vibration Theory Of Spring again Springs as a Topos A Clockwork Theory of Matter and Power

102 102 108 121 127 127 131

137 140

2N° INTERLUDE: REPRESENT ATION 1. Rorty 2. 'Knowledge Of' and 'Knowledge That' 3. Hacking and Rorty

143 143 152 159

CHAPTER 3: NEWTON'S SYNTHESIS 1. Introduction 2. Newton Before and After 3. Hooke's Programme Revisited

165 165 168 200

NOTES Introduction Chapter 1: Inflection 1st Interlude: Practice Chapter 2: Clocks, Pendulums and Springs 2nd Interlude: Representation Chapter 3: Newton's Synthesis

207 207 207 210

BffiLIOGRAPY

219

INDEX

233

211

213 214

PREFACE

This book is a historical-epistemological study of one of the most consequential