GRAD BD 113 . W763 2001 Experiment and Metaphysics Towards a Resolution of the Cosmological Antinomies Edgar Wind LEGENDA European Humanities Research Centre I ini\/i»rcif\r ( ^vfnrn . . E xperiment and M etaphysics T owards a R esolution of the C osmological A ntinomies THE EUROPEAN HUMANITIES RESEARCH CENTRE UNIVERSITY OF OXFORD The European Humanities Research Centre of the University of Oxford organizes a range of academic activities, including conferences and workshops, and publishes scholarly works under its own imprint, LEGENDA. Within Oxford, the EHRC bridges, at the research level, the main humanities faculties: Modern Languages, English, Modern History, Literae Humaniores, Music and Theology. The Centre stimulates interdisciplinary research collaboration throughout these subject areas and provides an Oxford base for advanced researchers in the humanities. The Centre’s publications programme focuses on making available the results of advanced research in medieval and modem languages and related interdisciplinary areas. An Editorial Board, whose members are drawn from across the British university system, covers the principal European languages. Tides include works on French, German, Italian, Portuguese, Russian and Spanish literature. In addition, the EHRC co-publishes with the Society for French Studies, the British Comparative Literature Association and the Modern Humanities Research Association. The Centre also publishes Oxford German Studies and Film Studies, and has launched a Special Lecture Series under the LEGENDA imprint. Enquiries about the Centre’s publishing activities should be addressed to: Professor Malcolm Bowie, Director Further information: Kareni Bannister, Senior Publications Officer European Humanities Research Centre University of Oxford 47 Wellington Square, Oxford oxi 2JF [email protected] www.ehrc.ox.ac.uk LEGENDA EDITORIAL BOARD Chairman Professor Malcolm Bowie, All Souls College Professor Ian Maclean, All Souls College (French) Professor Marian Hobson Jeanneret, Queen Mary University of London (French) Professor Ritchie Robertson, St John s College (German) Professor Lesley Sharpe, University of Bristol (German) Dr Diego Zancani, Balliol College (Italian) Professor David Robey, University of Reading (Italian) Dr Stephen Parkinson, Linacre College (Portuguese) Professor Helder Macedo, King’s College London (Portuguese) Professor Gerald Smith, New College (Russian) Professor David Shepherd, University of Sheffield (Russian) Dr David Pattison, Magdalen College (Spanish) Dr Alison Sinclair, Clare College, Cambridge (Spanish) Dr Elinor Shaffer, School of Advanced Study, London (Comparative Literature) Volume Editor Professor Nigel Palmer, St Edmund Hall Senior Publications Officer Kareni Bannister Publications Officer Dr Graham Nelson LEGENDA European H um anities R esearch C en tre University of Oxford Publication of this volume marks the opening in Summer 2001 of the Wind Room of the new Sackler Library in the University of Oxford. The room is named in honour of Edgar Wind, the University’s first Professor of the History of Art (195 5-67). This handsome room, reminiscent of a Renaissance studiolo, will house books from Professor Wind’s personal library and a selection he bought for the library of the Department of the History of Art during his tenure. The arrangement of his collection was influenced by the classification of the Warburg Institute, where Wind had spent many years, and follows it in allowing primary texts in original editions to share shelf space with modern editions and critical apparatus. The collection thus constitutes a living bibliography and an outstanding resource in the fields of iconology and iconography. I share Lothario’s opinion: that the energy of all the arts and sciences meets at one central point, and hope by the gods that I can provide nourishment for your enthusiasm even from the field of mathematics [...]. Another reason why I have given physics the preference is because here the connection is at its most visible. In physics you cannot conduct an experiment without a hypothesis; every hypothesis, even the most limited, if it is thought through systematically, leads to hypotheses concerning the whole, and is indeed based upon these, even if this is not realized by the person who employs it. Friedrich Schlegel, Dialogue on Poetry Edgar Wind Experiment and Metaphysics Towards a Resolution of the Cosmological Antinomies ❖ E dgar W ind 4 T ranslated by C yril E dwards Introduced by M atthew R ampley / LEGENDA European Humanities Research Centre University of Oxford 2001 $ D 113 ,W7£3 Published by the European Humanities Research Centre too I of the University of Oxford 47 Wellington Square Oxford OXl 2JF LEGENDA is the publications imprint of the European Humanities Research Centre ISBN 1 900155 29 7 First published 2001 All rights reserved. No part of this publication may be reproduced or disseminated or transmitted in any form or by any means, electronic, mechanical, photocopying, recording or otherwise, or stored in any retrieval system, or otherwise used in any manner whatsoever unthout the express permission of the copyright owner British Library Cataloguing in Publication Data A CIP catalogue record for this book is available from the British Library © European Humanities Research Centre of the University of Oxford 2001 LEGENDA series designed by Cox Design Partnership, Witney, Oxon Printed in Great Britain by Information Press Eynsham Oxford 0X8 1JJ Chief Copy-Editor: Genevieve Hawkins Editorial Consultant: Michael Wood L jO T -lô ïZ /. PHILO 1 0 - l- 0 \ CONTENTS ❖ Editorial Note xi Introduction by Matthew Rampley xiii Author's Preface I PART ONE: THE THEORY OF THE EXPERIMENT § i. The Circle in Physical Inquiry 7 § 2. The Elements of Measurement and the Meaning of the Claim to Accuracy io § 3. Einsteins Concept o f‘Practical Geometry’ 13 § 4. Poincaré s Principle o f‘Arbitrary Convention’ 16 § 5. The Task of the Experiment 18 § 6. Transformation and Embodiment 22 § 7. The ‘Judgements of Appropriateness’ 29 § 8. Real and Neutral Hypotheses 31 § 9. The Cyclical Progression and its Methodological Foundations 33 §10. Metaphysics and Empirical Experience 38 §11. Transcendental Philosophy and Experimental Method 46 PART TWO: THE ‘EXPERIM ENTAL RED U CTIO N ’ OF THE COSM OLOGICAL ANTINOM IES §12. The Empirical Criteria of Metaphysics 53 Chapter 1 : The Antinomy of the Concept of the World §13. Clarification of the Question of the First Antinomy (Refutation of Russell’s Objection) 61 §14. The Mathematical Antinomy of Euclidian Space 67 §15. The Physical Antinomy of the Newtonian System 69 §16. The Inevitability of the Newtonian Antinomy according to the Doctrines of Kant 72 §17. Kant’s Interpretation of Absolute Space 74