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The Relativity of Everything. A Philosophical Inquiry into Relativity, Complexity and Distributed Society.

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Release : 2023-08-25
Genre : Education
Kind : eBook
Book Rating : 803/5 ( reviews)

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Book Synopsis The Relativity of Everything. A Philosophical Inquiry into Relativity, Complexity and Distributed Society. by : Rodney J. Morris

Download or read book The Relativity of Everything. A Philosophical Inquiry into Relativity, Complexity and Distributed Society. written by Rodney J. Morris. This book was released on 2023-08-25. Available in PDF, EPUB and Kindle. Book excerpt: Given that everything in the world is relative, contemporary societal organization is based on social absolutes that are considered self-evident. This type of system invariably introduces central polarization into society, leading to class divisions, with transitions between the classes becoming increasingly difficult as polarization intensifies. Throughout human history, various forms of centrally polarized societies have been established, referred to by different names in different eras, such as slavery, feudalism, capitalism, or socialism. However, these societies can only endure as long as transitions between their social strata remain possible. Once these transitions become unattainable, the society inevitably crumbles. The escalating central polarization of society and its subsequent division become impediments to progress and development and can only be overcome through decentralization. Historically, transitions from one societal structure to another have resulted in a temporary decentralization of society. Nevertheless, the new societal structure invariably deteriorated due to the emergence of fresh central polarization, albeit founded on different polarization criteria. This book offers a deep exploration of the phenomena of relativity, complexity, and complexification, proposing a new approach to the critical analysis of capitalism as a societal structure. It elaborates on the foundational principles of distributed society as the only sustainable alternative to centrally polarized society.

Complexification

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Release : 1995-04-12
Genre : Science
Kind : eBook
Book Rating : 871/5 ( reviews)

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Book Synopsis Complexification by : John L. Casti

Download or read book Complexification written by John L. Casti. This book was released on 1995-04-12. Available in PDF, EPUB and Kindle. Book excerpt: A renowned mathematician shows how the "science of surprise" can help explain some of the most inexplicable phenomena in science, nature, the arts, the economy, and more.

Memory Evolutive Systems; Hierarchy, Emergence, Cognition

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Release : 2007-05-25
Genre : Psychology
Kind : eBook
Book Rating : 411/5 ( reviews)

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Book Synopsis Memory Evolutive Systems; Hierarchy, Emergence, Cognition by : A C Ehresmann

Download or read book Memory Evolutive Systems; Hierarchy, Emergence, Cognition written by A C Ehresmann. This book was released on 2007-05-25. Available in PDF, EPUB and Kindle. Book excerpt: Memory Evolutive Systems; Hierarchy, Emergence, Cognition provides comprehensive and comprehensible coverage of Memory Evolutive Systems (MEM). Written by the developers of the MEM, the book proposes a mathematical model for autonomous evolutionary systems based on the Category Theory of mathematics. It describes a framework to study and possibly simulate the structure of living systems and their dynamic behavior. This book contributes to understanding the multidisciplinary interfaces between mathematics, cognition, consciousness, biology and the study of complexity. It is organized into three parts. Part A deals with hierarchy and emergence and covers such topics as net of interactions and categories; the binding problem; and complexifications and emergence. Part B is about MEM while Part C discusses MEM applications to cognition and consciousness. The book explores the characteristics of a complex evolutionary system, its differences from inanimate physical systems, and its functioning and evolution in time, from its birth to its death. This book is an ideal reference for researchers, teachers and students in pure mathematics, computer science, cognitive science, study of complexity and systems theory, Category Theory, biological systems theory, and consciousness theory. It would also be of interest to both individuals and institutional libraries. - Comprehensive and comprehensible coverage of Memory Evolutive System - Written by the developers of the Memory Evolutive Systems - Designed to explore the common language between sciences

Lie Groups Beyond an Introduction

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Release : 2002-08-21
Genre : Mathematics
Kind : eBook
Book Rating : 594/5 ( reviews)

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Book Synopsis Lie Groups Beyond an Introduction by : Anthony W. Knapp

Download or read book Lie Groups Beyond an Introduction written by Anthony W. Knapp. This book was released on 2002-08-21. Available in PDF, EPUB and Kindle. Book excerpt: This book takes the reader from the end of introductory Lie group theory to the threshold of infinite-dimensional group representations. Merging algebra and analysis throughout, the author uses Lie-theoretic methods to develop a beautiful theory having wide applications in mathematics and physics. The book initially shares insights that make use of actual matrices; it later relies on such structural features as properties of root systems.

Ergodic Theory

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Release : 2017-02-09
Genre : Mathematics
Kind : eBook
Book Rating : 479/5 ( reviews)

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Book Synopsis Ergodic Theory by : David Kerr

Download or read book Ergodic Theory written by David Kerr. This book was released on 2017-02-09. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the ergodic theory and topological dynamics of actions of countable groups. It is organized around the theme of probabilistic and combinatorial independence, and highlights the complementary roles of the asymptotic and the perturbative in its comprehensive treatment of the core concepts of weak mixing, compactness, entropy, and amenability. The more advanced material includes Popa's cocycle superrigidity, the Furstenberg-Zimmer structure theorem, and sofic entropy. The structure of the book is designed to be flexible enough to serve a variety of readers. The discussion of dynamics is developed from scratch assuming some rudimentary functional analysis, measure theory, and topology, and parts of the text can be used as an introductory course. Researchers in ergodic theory and related areas will also find the book valuable as a reference.

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