Seventeenth-Century Indivisibles Revisited

The tremendous success of indivisibles methods in geometry in the seventeenth century, responds to a vast project: installation of infinity in mathematics. The pathways by the authors are very diverse, as are the characterizations of indivisibles, bu

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Vincent Jullien Editor

SeventeenthCentury Indivisibles Revisited

Science Networks. Historical Studies

Science Networks. Historical Studies Founded by Erwin Hiebert and Hans Wußing Volume 49

Edited by Eberhard Knobloch, Helge Kragh and Volker Remmert

Editorial Board: K. Andersen, Amsterdam H.J.M. Bos, Amsterdam U. Bottazzini, Roma J.Z. Buchwald, Pasadena K. Chemla, Paris S.S. Demidov, Moskva M. Folkerts, Mu¨nchen P. Galison, Cambridge, Mass. J. Gray, Milton Keynes R. Halleux, Lie´ge

S. Hildebrandt, Bonn D. Kormos Buchwald, Pasadena Ch. Meinel, Regensburg J. Peiffer, Paris W. Purkert, Bonn D. Rowe, Mainz A.I. Sabra, Cambridge, Mass. Ch. Sasaki, Tokyo R.H. Stuewer, Minneapolis V.P. Vizgin, Moskva

More information about this series at http://www.birkhauser-science.com/series/4883

Vincent Jullien Editor

Seventeenth-Century Indivisibles Revisited

Editor Vincent Jullien De´partement de Philosophie Universite´ de Nantes Nantes France

ISSN 1421-6329 ISSN 2296-6080 (electronic) Science Networks. Historical Studies ISBN 978-3-319-00130-2 ISBN 978-3-319-00131-9 (eBook) DOI 10.1007/978-3-319-00131-9 Library of Congress Control Number: 2015936719 Springer Cham Heidelberg New York Dordrecht London © Springer International Publishing Switzerland 2015 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. ¨ ber die Correction des Cosinusgesetzes bei Cover illustration: From Waller Ms de-00215, August Beer: U der Anwendung des Nicol’schen Prismas in der Photometrie, after 1850. With friendly permission by The Waller Manuscript Collection (part of the Uppsala University Library Collections). Printed on acid-free paper Springer International Publishing AG Switzerland is part of Springer Science+Business Media (www.birkhauser-science.com)

Contents

1

Explaining the Sudden Rise of Methods of Indivisibles . . . . . . . . . . Vincent Jullien

2

From Aristotle to the Classical Age, the Debates Around Indivisibilism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .