Freedom in Mathematics
This book challenges the views put forward by Pierre Cartier, one of the anchors of the famous Bourbaki group, and Cédric Villani, one of the most brilliant mathematicians of his generation, who received the Fields Medal in 2010. Jean Dhombres, mathematic
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Freedom in Mathematics
Freedom in Mathematics
Pierre Cartier Jean Dhombres Gerhard Heinzmann Cédric Villani •
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Freedom in Mathematics
123
Pierre Cartier Institut des Hautes Études Scientifiques (IHÉS) Bures-sur-Yvette France
Gerhard Heinzmann Maison des sciences de l’Homme University of Lorraine Nancy France
Jean Dhombres Centre Koyré, EHESS Paris France
Cédric Villani Institut Henri Poincaré (IHP) Paris France
ISBN 978-81-322-2786-1 DOI 10.1007/978-81-322-2788-5
ISBN 978-81-322-2788-5
(eBook)
Library of Congress Control Number: 2016934005 Translation from the French language edition: Mathématiques en liberté by Pierre Cartier, Jean Dhombres, Gerhard Heinzmann and Cédric Villani, © éditions la ville brûle 2012. All Rights Reserved. © Springer India 2016 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. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer (India) Pvt. Ltd.
What is it called, when the day rises, like today, when everything is ruined, everything is pillaged, and nonetheless the air breathes, and one has lost everything, the city burns, the innocents kill each other, but the guilty are in agony, in a corner of the day that is rising? … It’s called dawn. —Jean Giraudoux, Electra
Foreword
Series 360 The goal that the 360 series, like many degrees and thus proposing a wide-ranging horizon, has set itself may seem too ambitious. Though completeness may not be a realistic aim, the desire to propose a variety of perspectives and to especially accept direct confrontation, via a conversation which, depending on authors and subjects, could turn into a disputation, is at the heart of the editorial project. The principle of the series is to gather around a subject four qualified individuals and make them converse with a view of better bringing out the connections in their arguments and questioning. This original approach is, therefore, deliberately far removed from the dominant modes of scientific
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