Chaos and Complexity Scientific Perspectives on Divine Action A Series on "Scientific Perspectives on Divine Action" First Volume Quantum Cosmology and the Laws of Nature: Scientific Perspectives on Divine Action Edited by Robert John Russell, Nancey Murphy, and C. J. Isham Second Volume Chaos and Complexity: Scientific Perspectives on Divine Action Edited by Robert John Russell, Nancey Murphy, and Arthur R. Peacocke Future Scientific Topics Evolutionary and Molecular Biology Neurobiology and Brain Research Quantum Physics and Quantum Field Theory Jointly published by the Vatican Observatory and The Center for Theology and the Natural Sciences Robert John Russell, General Editor of the Series Supported in part by a grant from the Wayne and Gladys Valley Foundation. Chaos and Complexity Scientific Perspectives on Divine Action Robert John Russell Nancey Murphy Arthur R. Peacocke Editors Vatican Observatory The Center for Theology Publications, and the Natural Sciences, Vatican City State Berkeley, California SECOND EDITION 2000 Robert John Russell (General Editor) is Professor of Theology and Science in Residence, Graduate Theological Union, Berkeley, California, and Founder and Director of the Center for Theology and the Natural Sciences. Nancey Murphy is Associate Professor of Christian Philosophy, Fuller Theological Seminary, Pasadena, California. Arthur R. Peacocke is currently Director of the Ian Ramsey Centre, Oxford, England, Warden Emeritus of the Society of Ordained Scientists, and formerly Dean of Clare College, Cambridge, England. About the cover: the image on the cover of this volume is a graphic depiction of a Rossler attractor: the simplest case for a chaotic attractor. The image is taken from "Chaos" by James P. Crutchfield, et al., reprinted in this volume by permission of Scientific American. Copyright © 1995 by the Vatican Observatory Foundation SECOND EDITION Copyright © 1997 by the Vatican Observatory Foundation Copyright © 2000 by the Vatican Observatory Foundation Distributed (except in Italy and Vatican City State) by The University of Notre Dame Press Notre Dame, Indiana 46556 U.S.A. Distributed in Italy and Vatican City State by Libreria Editrice Vaticana V-00120 Citta del Vaticano Vatican City State ISBN 0-268-00812-4 (pbk.) VATICAN PRESS ACKNOWLEDGMENTS The editors with to express their gratitude to the Vatican Observatory and the Center for Theology and the Natural Sciences for co-sponsoring this research. Particular appreciation goes to George Coyne and Bill Stoeger, whose leadership and vision made this series of conferences possible. Editing for this volume began with an initial circulation of papers for critical responses before the conference in 1993, and continued with extensive interactions between editors and authors after the conference. The editors want to express their gratitude to all the participants for their written responses to pre-conference drafts and for their enthusiastic discussions during the conferences. Regarding this volume, special thanks goes to Greg Maslowe, CTNS Editing Coordinator, who devoted meticulous attention and long hours to every stage in the preparation of the camera-ready manuscript of this volume. His effort ensured the quality of the final manuscript and made it possible for us to meet our deadline for publication in 1995. Thanks also goes to George Coyne for overseeing printing, jacket design, and distribution, and to Karen Cheatham and Lisa Dahlen for their help in hosting the conference at the GTU and their preliminary work on this manuscript. One of us (RJR) wishes to express special personal thanks to Nancey Murphy for the enormous effort she put into editing this volume, and to Wesley Wildman for the pleasure of co-authoring with him. The Center for Theology and the Natural Sciences wishes to acknowledge the generous support of the Wayne and Gladys Valley Foundation. The recent renewal of their initial grant continues to make our on-going collaboration with the Vatican Observatory possible. A second grant from the Valley Foundation, also recently renewed, has supported the production of this volume. The editors wish to thank the following for their generous permission to reprint articles in this volume: Chaos by James P. Cruthfield, J. Doyne Farmer, Norman H. Packard, and Robert S. Shaw: From Scientific American 225, no. 6 (December 1986): 46-57. Reprinted by permission. Understanding Complexity by Bemd-Olaf Kuppers: From Emergence or Reduction?, ed. Ansgar Beckermann, Hans Flohr, and Jaegwon Kim (Berlin: Walter de Gruyter, 1992), 241-256. Reprinted by permission of the author. Chance and Law in Irreversible Thermodynamics, Theoretical Biology, and Theology by Arthur R. Peacocke: From Philosophy in Science 4 (1990): 145-180. © 1990 by the Pachart Foundation dba Pachart Publishing House and reprinted by permission. TABLE OF CONTENTS Introduction Robert John Russell I. SCIENTIFIC BACKGROUND: CHAOS AND COMPLEXITY Chaos James P. Crutckfield, J. Doyne Farmer, Norman H. Packard, and Robert S. Shaw Chaos: A Mathematical Introduction with Philosophical Reflections Wesley J. Wildman and Robert John Russell II. CHAOS, COMPLEXITY, AND THE PHILOSOPHY OF LIFE Understanding Complexity Bernd-Olaf Kiippers Chaos, Probability, and the Comprehensibility of the World Michael Heller Chance and Law in Irreversible Thermodynamics, Theoretical Biology, and Theology Arthur R. Peacocke III. CHAOS, COMPLEXITY, AND DIVINE ACTION The Metaphysics of Divine Action John Polkinghorne The Discovery of Chaos and the Retrieval of the Trinity Denis Edwards Divine Providence and Instrumentality: Metaphors for Time in Self-Organizing Systems and Divine Action Stephen Happel Reflections on Chaos and God's Interaction with the World from a Trinitarian Perspective Jiirgen Moltmann 205 The God of Nature Lang don Gilkey 211 IV. ALTERNATIVE APPROACHES TO DIVINE ACTION Gaps for God? Willem B. Drees 223 Describing God's Action in the World in Light of Scientific Knowledge of Reality William R. Stoeger 239 God's Interaction with the World: The Implications of Deterministic "Chaos" and of Interconnected and Interdependent Complexity Arthur R. Peacocke 263 Particular Providence and the God of the Gaps Thomas F. Tracy 289 Divine Action in the Natural Order: Buridan's Ass and Schrodinger's Cat Nancey Murphy 325 Ordinary and Extraordinary Divine Action: The Nexus of Interaction George F.R. Ellis 359 LIST OF CONTRIBUTING PARTICIPANTS 397 INDEX 399
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