Conversations with a Mathematician Math, Art, Science and the Limits
G. J. Chaitin is at the IBM Thomas J. Watson Research Center in New York. He has shown that God plays dice not only in quantum mechanics, but even in the foundations of mathematics, where Chaitin discovered mathematical facts that are true for no reason,
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Other Springer titles by the same author: The Limits of Mathematics 981-3083-59-X
The Unknowable 981-4021-72-5
Exploring Randomness 1-85233-417-7
Springer-Verlag London Ltd.
Gregory J. Chaitin
Conversations with a Mathematician Math, Art, Science and the Limits of Reason A collection of his most wide-ranging and non-technical lectures and interviews
Springer
Gregory J. Chaitin IBM Research Division, Thomas J. Watson Research Center, 30 Saw Mill River Road, Hawthorne, NY 10532, USA British Library Cataloguing in Publication Data Chaitin, Gregory J. Conversations with a mathematician: math, art, science and the limits of reason : a collection of his most wide-ranging and non-technical lectures and interviews 1.Mathematics LTitle 510 Library of Congress Cataloging-in-Publication Data Chaitin» Gregory J. Conversations with a mathematician : math, art, science, and the limits of reason : a collection of his most wide-ranging and non-technical lectures and interviews / Gregory J. Chaitin. p. cm. ISBN 978-1-4471-1104-7 1. Chaitin, Gregory J.—Interviews. 2. Mathematics. I. Title. QA29.C4A25 2001 510—dc21
2001045964
Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms of licences issued by the Copyright Licensing Agency. Enquiries concerning reproduction outside those terms should be sent to the publishers. ISBN 978-1-4471-1104-7 DOI 10.1007/978-1-4471-0185-7
ISBN 978-1-4471-0185-7 (eBook)
http://www.springer.co.uk © Springer-Verlag London 2002 Originally published by Springer-Verlag London Berlin Heidelberg in 2002 2nd printing 2003 Interview by Fisher Düke - Randomness in Arithmetic © BBC Arena: Numbers. Reproduced by kind permission. Cover photos by Jacquie Meyer Cover sculpture by Kenneth Snelson, maquette of "Able Charlie", 1982 The use of registered names, trademarks etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant laws and regulations and therefore free for general use. The publisher makes no representation, express or implied, with regard to the accuracy of the information contained in this book and cannot accept any legal responsibility or liability for any errors or omissions that may be made. Typesetting: Camera ready by author 34/3830-54321 Printed on acid-free paper SPIN 10892289
Preface Due to increasing interest in my work on complexity, information, randomness and irreducibility, I thought that the time was ripe to assemble this collection of wide-ranging lecture transcripts and interviews that might be of interest to the general public. There is a lot of repetition here, but also the immediacy and liveliness of the spoken word, and the drama of human interaction. I would have loved rea
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