Irreducibility and computational equivalence : 10 years after Wolfram's "A New Kind of Science"

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,...

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Glavni avtor: Zenil, Hector, 1977-
Format: Livre numérique
Jezik:Anglais
Izdano: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Izdaja:1st ed. 2013.
Serija:Emergence, Complexity and Computation
Online dostop:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Sporočilo: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Irreducibility and Computational Equivalence, Texte imprimé, 9783642354816
• Irreducibility and Computational Equivalence, Texte imprimé, 9783642354830
• Irreducibility and Computational Equivalence, Texte imprimé, 9783642442575
• Irreducibility and Computational Equivalence, Texte imprimé, 9783642354816
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505 1 |a From the Contents: Part I Mechanisms in Programs and Nature Hyperbolic Cellular Automata A Lyapunov View on the Stability of Cellular Automata.- Part II The World of Numbers & Simple Programs Cellular Automata: Models of the Physical World Part III Everyday Systems A New Kind of Finance The Relevance and Importance of Computation Universality in Economics Part IV Fundamental Physics The Principle of a Finite Density of Information Part V The Behavior of Systems & the Notion of Computation An Incompleteness Theorem for the Natural World Part VI Irreducibility & Computational Equivalence Exploring the Computational Limits of Haugeland's Game as a Two-Dimensional Cellular Automaton.- Part VII Deliberations and Philosophical Implications Wolfram and the Computing Nature 
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506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a 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 & NatureSystems Based on Numbers & Simple Programs Social and Biological Systems & Technology Fundamental PhysicsThe Behavior of Systems & the Notion of ComputationIrreducibility & Computational EquivalenceReflections 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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