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Emergence, Complexity and Computation #2: Irreducibility and Computational Equivalence: 10 Years After Wolfram's a New Kind of Science

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Emergence, Complexity and Computation #2: Irreducibility and Computational Equivalence: 10 Years After Wolfram's a New Kind of Science Cover

 

Synopses & Reviews

Publisher Comments:

It has been a pleasure and a privilege for me to discuss fundamental questions with Stephen over the years. In this foreword I want to indicate what I regard as some of the major contributions of A New Kind of Science (henceforth NKS).In my opinion, NKS is a milestone work that will be appreciated more and more with time. Now, ten years after its publication, some things already begin to stand out. First of all, Stephen's book is wonderfully unconventional. In an age in which there are too many papers \ lling in much needed gaps" (Stan Ulam's classic put-down), who can take the time from producing a constant stream of routine papers, one that is required by the funding agencies, to wrte a conventional book, let alone a magnum opus in the grand manner?Stephen's NKS is an example to us all, a beacon of high intellectual ambition shining through a fog of mediocrity and dispensable rudition. A New Kind of Science (henceforth NKS).In my opinion, NKS is a milestone work that will be appreciated more and more with time. Now, ten years after its publication, some things already begin to stand out. First of all, Stephen's book is wonderfully unconventional. In an age in which there are too many papers \ lling in much needed gaps" (Stan Ulam's classic put-down), who can take the time from producing a constant stream of routine papers, one that is required by the funding agencies, to wrte a conventional book, let alone a magnum opus in the grand manner?Stephen's NKS is an example to us all, a beacon of high intellectual ambition shining through a fog of mediocrity and dispensable rudition. magnum opus in the grand manner?Stephen's NKS is an example to us all, a beacon of high intellectual ambition shining through a fog of mediocrity and dispensable rudition.

Synopsis:

This book examines some of the major contributions of Stephen Wolfram's best-selling classic, A New Kind of Science, ten years after its publication.

Synopsis:

It is clear that computation is playing an increasingly prominent role in the development of mathematics, as well as in the natural and social sciences. The work of Stephen Wolfram over the last several decades has been a salient part in this phenomenon helping founding the field of Complex Systems, with many of his constructs and ideas incorporated in his book A New Kind of Science (ANKS) becoming part of the scientific discourse and general academic knowledge--from the now established Elementary Cellular Automata to the unconventional concept of mining the Computational Universe, from today's widespread Wolfram's Behavioural Classification to his principles of Irreducibility and Computational Equivalence. This volume, with a Foreword by Gregory Chaitin and an Afterword by Cris Calude, covers these and other topics related to or motivated by Wolfram's seminal ideas, reporting on research undertaken in the decade following the publication of Wolfram's NKS book. Featuring 39 authors, its 23 contributions are organized into seven parts: Mechanisms in Programs & Nature Systems Based on Numbers & Simple Programs Social and Biological Systems & Technology Fundamental Physics The Behavior of Systems & the Notion of Computation Irreducibility & Computational Equivalence Reflections and Philosophical Implications. "I found this volume fascinating in its efforts to flesh out the computational implications for biology more generally." — Dr. Mark Changizi "I believe that this book will be an inspiration for future work in interdisciplinary research at the intersection of computer science, natural and social sciences." — Prof. Ivan Zelinka

Table of Contents

Foreword Gregory Chaitin Part I Mechanisms in Programs and Nature 1. Hyperbolic Cellular Automata Maurice Margenstern 2. A Lyapunov View on the Stability of Cellular Automata Jan M. Baetens & Bernard De Baets 3. On the Necessity of Complexity Joost J. Joosten 4. Computational Technosphere and Cellular Engineering Mark Burgin Part II The World of Numbers & Simple Programs 5. Cellular Automata: Models of the Physical World Herbert W. Franke 6. Symmetry and Complexity of Cellular Automata: Towards an Analytical Theory of Dynamical System Klaus Mainzer 7. A New Kind of Science: Ten Years Later David H. Bailey Part III Everyday Systems 8. A New Kind of Finance Philip Z. Maymin 9. The Relevance and Importance of Computation Universality in Economics Kumaraswamy Velupillai 10. Exploring the Sources of and Nature of Computational Irreducibility Brian Beckage, Stuart Kauffman, Louis Gross, Asim Zia, Gabor Vattay and Chris Koliba Part IV Fundamental Physics 11. The Principle of a Finite Density of Information Gilles Dowek and Pablo Arrighi 12. Artificial Cosmogenesis: A New Kind of Cosmology Clément Vidal 13. Do Particles Evolve? Tommaso Bolognesi Part V The Behavior of Systems & the Notion of Computation 14. An Incompleteness Theorem for the Natural World Rudy Rucker 15. Pervasiveness of Universalities of Cellular Automata: Fascinating Life-like Behaviours Emmanuel Sapin 16. Wolfram's Classification and Computation in Cellular Automata Classes III and IV Genaro J. Martinez, Juan Carlos Seck Tuoh Mora and Hector Zenil Part VI Irreducibility & Computational Equivalence 17. Exploring the Computational Limits of Haugeland's Game as a Two-Dimensional Cellular Automaton Drew Reisinger, Taylor Martin, Mason Blankenship, Christopher Harrison, Jesse Squires and Anthony Beavers 18. Irreducibility and Computational Equivalence Hervé Zwrin and Jean-Paul Delahaye 19. Computational Equivalence and Classical Recursion Theory Klaus Sutner Part VII Deliberations and Philosophical Implications 20. Wolfram and the Computing Nature Gordana Dodig-Crnkovic 21. A New Kind of Philosophy. Manifesto for a Digital Ontology Jacopo Tagliabue 22. Free Will For Us, not For Robots Selmer Bringsjord Afterword Cristian Calude

Product Details

ISBN:
9783642354816
Author:
Zenil, Hector
Publisher:
Springer
Location:
Berlin, Heidelberg
Subject:
General Technology
Subject:
Complexity
Subject:
Computational Equivalence
Subject:
Irreducibility
Subject:
Wolframs New Kind of Science
Subject:
Computational intelligence
Subject:
Artificial Intelligence (incl. Robotics)
Subject:
Science Reference-Technology
Subject:
Engineering
Subject:
B
Subject:
Artificial Intelligence
Copyright:
Edition Description:
2013
Series:
Emergence, Complexity and Computation
Series Volume:
2
Publication Date:
20130102
Binding:
HARDCOVER
Language:
English
Pages:
450
Dimensions:
235 x 155 mm

Related Subjects

Computers and Internet » Artificial Intelligence » General
Computers and Internet » Computers Reference » General
Reference » Science Reference » Technology

Emergence, Complexity and Computation #2: Irreducibility and Computational Equivalence: 10 Years After Wolfram's a New Kind of Science New Hardcover
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$108.50 In Stock
Product details 450 pages Springer - English 9783642354816 Reviews:
"Synopsis" by , This book examines some of the major contributions of Stephen Wolfram's best-selling classic, A New Kind of Science, ten years after its publication.
"Synopsis" by , It is clear that computation is playing an increasingly prominent role in the development of mathematics, as well as in the natural and social sciences. The work of Stephen Wolfram over the last several decades has been a salient part in this phenomenon helping founding the field of Complex Systems, with many of his constructs and ideas incorporated in his book A New Kind of Science (ANKS) becoming part of the scientific discourse and general academic knowledge--from the now established Elementary Cellular Automata to the unconventional concept of mining the Computational Universe, from today's widespread Wolfram's Behavioural Classification to his principles of Irreducibility and Computational Equivalence. This volume, with a Foreword by Gregory Chaitin and an Afterword by Cris Calude, covers these and other topics related to or motivated by Wolfram's seminal ideas, reporting on research undertaken in the decade following the publication of Wolfram's NKS book. Featuring 39 authors, its 23 contributions are organized into seven parts: Mechanisms in Programs & Nature Systems Based on Numbers & Simple Programs Social and Biological Systems & Technology Fundamental Physics The Behavior of Systems & the Notion of Computation Irreducibility & Computational Equivalence Reflections and Philosophical Implications. "I found this volume fascinating in its efforts to flesh out the computational implications for biology more generally." — Dr. Mark Changizi "I believe that this book will be an inspiration for future work in interdisciplinary research at the intersection of computer science, natural and social sciences." — Prof. Ivan Zelinka
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