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Author: Klaus Mainzer
Publisher: World Scientific
ISBN: 9812561927
Category : Science
Languages : en
Pages : 448
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Book Description
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.
Author: Klaus Mainzer
Publisher: World Scientific
ISBN: 9812561927
Category : Science
Languages : en
Pages : 448
Get Book Here
Book Description
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.
Author: Klaus Mainzer
Publisher:
ISBN: 9787030197382
Category : Complexity (Philosophy)
Languages : en
Pages : 437
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Book Description
Author: Klaus Mainzer
Publisher: World Scientific
ISBN: 9814480819
Category : Science
Languages : en
Pages : 448
Get Book Here
Book Description
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.
Author: Klaus Mainzer
Publisher: World Scientific
ISBN: 9813225505
Category : Mathematics
Languages : en
Pages : 471
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Book Description
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).
Author: Klaus Mainzer
Publisher: Springer Science & Business Media
ISBN: 3540722270
Category : Science
Languages : en
Pages : 491
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Book Description
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.
Author: Ruth Hagengruber
Publisher: Routledge
ISBN: 1317317564
Category : History
Languages : en
Pages : 290
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Book Description
Over the last four decades computers and the internet have become an intrinsic part of all our lives, but this speed of development has left related philosophical enquiry behind. Featuring the work of computer scientists and philosophers, these essays provide an overview of an exciting new area of philosophy that is still taking shape.
Author: Klaus Mainzer
Publisher: Springer Science & Business Media
ISBN: 3642234771
Category : Science
Languages : en
Pages : 113
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Book Description
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.
Author: Angel Garrido
Publisher: MDPI
ISBN: 3038424986
Category : Mathematics
Languages : en
Pages : 509
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Book Description
This book is a printed edition of the Special Issue "Symmetry Measures on Complex Networks" that was published in Symmetry
Author: Argyris Nicolaidis
Publisher: Bentham Science Publishers
ISBN: 1608054446
Category : Science
Languages : en
Pages : 246
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Book Description
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.
Author: Kiyohiro Ikeda
Publisher: Springer Nature
ISBN: 3030214737
Category : Science
Languages : en
Pages : 607
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Book Description
Most physical systems lose or gain stability through bifurcation behavior. This book explains a series of experimentally found bifurcation phenomena by means of the methods of static bifurcation theory.
