Symmetry And Complexity The Spirit And Beauty Of Nonlinear Science

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Author : Klaus Mainzer
language : en
Publisher:
Release Date : 2005

written by Klaus Mainzer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Complexity (Philosophy) categories.

Symmetry And Complexity The Spirit And Beauty Of Nonlinear Science

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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2005-06-10

Symmetry And Complexity The Spirit And Beauty Of Nonlinear Science written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-06-10 with Science categories.

Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity.

Symmetry And Complexity

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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2005

Symmetry And Complexity written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Science categories.

Cosmic evolution leads from symmetry to complexity by symmetry breaking and phase transitions. The emergence of new order and structure in nature and society is explained by physical, chemical, biological, social and economic self-organization, according to the laws of nonlinear dynamics. All these dynamical systems are considered computational systems processing information and entropy. Are symmetry and complexity only useful models of science or are they universals of reality? Symmetry and Complexity discusses the fascinating insights gained from natural, social and computer sciences, philosophy and the arts. With many diagrams and pictures, this book illustrates the spirit and beauty of nonlinear science. In the complex world of globalization, it strongly argues for unity in diversity.

Symmetry Measures On Complex Networks

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Author : Angel Garrido
language : en
Publisher: MDPI
Release Date : 2018-07-09

Symmetry Measures On Complex Networks written by Angel Garrido and has been published by MDPI this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-07-09 with Mathematics categories.

This book is a printed edition of the Special Issue "Symmetry Measures on Complex Networks" that was published in Symmetry

Thinking In Complexity

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Author : Klaus Mainzer
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-09-10

Thinking In Complexity written by Klaus Mainzer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-09-10 with Science categories.

This new edition also treats smart materials and artificial life. A new chapter on information and computational dynamics takes up many recent discussions in the community.

Philosophy Of Complex Systems

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Author :
language : en
Publisher: Elsevier
Release Date : 2011-05-23

Philosophy Of Complex Systems written by and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-23 with Mathematics categories.

The domain of nonlinear dynamical systems and its mathematical underpinnings has been developing exponentially for a century, the last 35 years seeing an outpouring of new ideas and applications and a concomitant confluence with ideas of complex systems and their applications from irreversible thermodynamics. A few examples are in meteorology, ecological dynamics, and social and economic dynamics. These new ideas have profound implications for our understanding and practice in domains involving complexity, predictability and determinism, equilibrium, control, planning, individuality, responsibility and so on.Our intention is to draw together in this volume, we believe for the first time, a comprehensive picture of the manifold philosophically interesting impacts of recent developments in understanding nonlinear systems and the unique aspects of their complexity. The book will focus specifically on the philosophical concepts, principles, judgments and problems distinctly raised by work in the domain of complex nonlinear dynamical systems, especially in recent years.-Comprehensive coverage of all main theories in the philosophy of Complex Systems -Clearly written expositions of fundamental ideas and concepts -Definitive discussions by leading researchers in the field -Summaries of leading-edge research in related fields are also included

The Universe As Automaton

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Author : Klaus Mainzer
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-10-01

The Universe As Automaton written by Klaus Mainzer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-10-01 with Science categories.

This Brief is an essay at the interface of philosophy and complexity research, trying to inspire the reader with new ideas and new conceptual developments of cellular automata. Going beyond the numerical experiments of Steven Wolfram, it is argued that cellular automata must be considered complex dynamical systems in their own right, requiring appropriate analytical models in order to find precise answers and predictions in the universe of cellular automata. Indeed, eventually we have to ask whether cellular automata can be considered models of the real world and, conversely, whether there are limits to our modern approach of attributing the world, and the universe for that matter, essentially a digital reality.

Digital And The Real World The Computational Foundations Of Mathematics Science Technology And Philosophy

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Author : Klaus Mainzer
language : en
Publisher: World Scientific
Release Date : 2017-11-17

Digital And The Real World The Computational Foundations Of Mathematics Science Technology And Philosophy written by Klaus Mainzer and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-11-17 with Mathematics categories.

In the 21st century, digitalization is a global challenge of mankind. Even for the public, it is obvious that our world is increasingly dominated by powerful algorithms and big data. But, how computable is our world? Some people believe that successful problem solving in science, technology, and economies only depends on fast algorithms and data mining. Chances and risks are often not understood, because the foundations of algorithms and information systems are not studied rigorously. Actually, they are deeply rooted in logics, mathematics, computer science and philosophy.Therefore, this book studies the foundations of mathematics, computer science, and philosophy, in order to guarantee security and reliability of the knowledge by constructive proofs, proof mining and program extraction. We start with the basics of computability theory, proof theory, and information theory. In a second step, we introduce new concepts of information and computing systems, in order to overcome the gap between the digital world of logical programming and the analog world of real computing in mathematics and science. The book also considers consequences for digital and analog physics, computational neuroscience, financial mathematics, and the Internet of Things (IoT).

Irreducibility And Computational Equivalence

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Author : Hector Zenil
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-25

Irreducibility And Computational Equivalence written by Hector Zenil and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-25 with Technology & Engineering categories.

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.

The Evolution Of Time Studies Of Time In Science Anthropology Theology

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Author : Argyris Nicolaidis
language : en
Publisher: Bentham Science Publishers
Release Date : 2013-05-27

The Evolution Of Time Studies Of Time In Science Anthropology Theology written by Argyris Nicolaidis and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-27 with Science categories.

Time - a fundamental component of human thought and experience - is quite enigmatic and elusive when it comes to defining it. In The Evolution of Time: Studies of Time in Science, Anthropology, Theology scholars from the fields of physics, mathematics, biology, neuroscience, psychology, philosophy and theology draw from their own field of knowledge and expertise and present their understanding of the time phenomenon. Time as a dynamic interplay of being and becoming, the different temporalities we encounter in nature, the human dimension of time, are all important issues presented and thoroughly analyzed in the e-book. The e-book has a manifest trans-disciplinary character and it is a suitable for readers interested in evolution, the dynamics of time and the complexity of our own conceptions of time.