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Complexity

Complexity

A Guided Tour

MELANIE MITCHELL

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Copyright © 2009 by Melanie Mitchell

The author is grateful to the following publishers for permission to reprint excerpts from the following works that appear as epigraphs in the book. Gödel, Escher, Bach: an Eternal Braid by Douglas R. Hofstadter, copyright © 1979 by Basic Books and reprinted by permission of the publisher. The Dreams of Reason by Heinz Pagels, copyright © by Heinz Pagels and reprinted by permission of Simon & Schuster Adult Publishing Group. Arcadia by Tom Stoppard, copyright © 1993 by Tom Stoppard and reprinted with permission of Faber and Faber, Inc., an affiliate of Farrar, Strauss & Giroux, LLC. “Trading Cities” from Invisible Cities by Italo Calvino, published by Secker and Warburg and reprinted by permission of The Random House Group Ltd. The Ages of Gaia: A Biography of Our Living Earth by James Lovelock, copyright © 1988 by The Commonwealth Fund Book Program of Memorial Sloan-Kettering Cancer Center and used by permission of W. W. Norton & Company, Inc. Mine the Harvest: A Collection of New Poems by Edna St. Vincent Millay, copyright © 1954, 1982 by Norma Millay Ellis and reprinted by permission of Elizabeth Barnett, Literary Executor, the Millay Society. “Trading Cities” from Invisible Cities by Italo Calvino, copyright © 1972 by Giulio Einaudi editore s.p.a., English translation by William Weaver, copyright © 1974 by Houghton Mifflin Harcourt Publishing Company, and reprinted by permission of the publisher. Complexity: Life at the Edge of Chaos by Roger Lewin, copyright © 1992, 1999 by Roger Lewin and reprinted by permission of the author.

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All rights reserved. No part of this publication may be reproduced, stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, or otherwise, without the prior permission of Oxford University Press.

Library of Congress Cataloging-in-Publication Data

Mitchell, Melanie.

Complexity: a guided tour/Melanie Mitchell.

p. cm.

Includes bibliographical references and index.

ISBN 978-0-19-512441-5

1. Complexity (Philosophy) I. Title.

Q175.32.C65M58 2009

501—dc22 2008023794

9 8 7 6 5 4 3 2 1

Printed in the United States of America

on acid-free paper

To Douglas Hofstadter and John Holland

CONTENTS

Preface

Acknowledgments


PART ONE Background and History

CHAPTER ONE What Is Complexity?

CHAPTER TWO Dynamics, Chaos, and Prediction

CHAPTER THREE Information

CHAPTER FOUR Computation

CHAPTER FIVE Evolution

CHAPTER SIX Genetics, Simplified

CHAPTER SEVEN Defining and Measuring Complexity


PART TWO Life and Evolution in Computers

CHAPTER EIGHT Self-Reproducing Computer Programs

CHAPTER NINE Genetic Algorithms


PART THREE Computation Writ Large

CHAPTER TEN Cellular Automata, Life, and the Universe

CHAPTER ELEVEN Computing with Particles

CHAPTER TWELVE Information Processing in Living Systems

CHAPTER THIRTEEN How to Make Analogies (if You Are a Computer)

CHAPTER FOURTEEN Prospects of Computer Modeling


PART FOUR Network Thinking

CHAPTER FIFTEEN The Science of Networks

CHAPTER SIXTEEN Applying Network Science to Real-World Networks

CHAPTER SEVENTEEN The Mystery of Scaling

CHAPTER EIGHTEEN Evolution, Complexified


PART FIVE Conclusion

CHAPTER NINETEEN The Past and Future of the Sciences of Complexity

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