Crossroads: History of Science, History of Art Essays by David S

This collection of essays on relationships between science, history of science, history of art and philosophy is a multi-faceted sequel to the first volume, Discovering the Principles of Mechanics 1600-1800, published in 2008.

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Kim Williams Editor

Editor Kim Williams Kim Williams Books Corso Regina Margherita, 72 10153 Torino Italy [email protected]

2010 Mathematics Subject Classification: 00A66, 00A67, 01A85 ISBN 978-3-0348-0138-6 e-ISBN 978-3-0348-0139-3 DOI 10.1007/978-3-0348-0139-3 Library of Congress Control Number: 2011931276 © Springer Basel AG 2011 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, re-use of illustrations, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind of use whatsoever permission from the copyright owner must be obtained. Cover illustration: Force diagram by Sir Isaac Newton, Philosophiae Naturalis Principia Mathematica, first edition (1687): Book I, Sect. II, Prop. I, Theorema I (p. 37). Cover photo: Baptistery of Pisa, by Kim Williams Cover design: deblik, Berlin Printed on acid-free paper Springer Basel AG is part of Springer Science+Business Media www.birkhauser-science.com

Contents Foreword............................................................................................ vii Frans Cerulus Editor’s Note ....................................................................................... xi Kim Williams The Symmetry of the Ornament on a Jewel of the Treasure of Mycenae .......................................................................................... 1 Arab and Pisan Mathematics in the Piazza dei Miracoli ...................... 9 Architecture, Mathematics and Theology in Raphael's Paintings ...... 29 What can the Historian of Science Learn from the Historian of the Fine Arts? ................................................................................ 41 The Importance of Concepts for Science........................................... 53 Remarks on Space and Time in Newton, Leibniz, Euler and in Modern Physics....................................................................... 65 Gruppentheorie und Quantenmechanik: The Book and its Position in Weyl's Work ................................................................. 79 Clifford A. Truesdell's Contributions to the Euler and the Bernoulli Editions ............................................................................................ 101 Publishing Complete Works of the Great Scientists: An International Undertaking ........................................................... 117 David Speiser and Patricia Radelet-de Grave The History of Science at the Crossroads of the Pathways towards Philosophy and History....................................................... 127 Index of Names ................................................................................ 149

Foreword

Frans Cerulus Perusing the titles of the essays in this book makes it clear that its author is a man with many interests and a great curiosity. David Speiser is a lover and connoisseur of art. His view of the world is coloured by his familiarity with mathematics, that is, with

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