The book is the first in the trilogy which will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world.The history of numbers and arithmetic is the topic of a variety of books and at the same time, it is extensively presented in many books on the history of mathematics. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. Besides, such books consider and describe only the most popular classes of numbers, such as whole numbers or real numbers. At the same time, a diversity of new classes of numbers and arithmetic were introduced in the 20th century.This book looks into the chronicle of numbers and arithmetic from ancient times all the way to 21st century. It also includes the developments in these areas in the 20th century and later. A unique aspect of this book is its information orientation of the exposition of the history of numbers and arithmetic.

This book is about the nature of information. It touches on many core issues of philosophy of the mind, ontology, and epistemology, and draws in several domain-specific concepts from physics, mathematics, thermodynamics, computer science, and biology. The terms used in this book, such as the mind, a conscious agent, meaning, and knowledge are used with very precise meanings because they can be easily misinterpreted. A proper understanding of these terms can be gained from the referenced literature. But more specifically, this book is about the concept of information as physical phenomenon.The book is a unique exposition of the concept of information as physical phenomenon. It provides the detailed analysis and synthesis of the current conceptualizations of information demonstrating the lack of common definition and their incompleteness. The detailed argument is provided why information may be defined as a physical phenomenon and why this type of information may be seen as fundamental to our understanding of this concept.

This book is a scientific basis for understanding the urgent need for a Great Transformation to a third step in social evolution. Already being a community of common destiny, humanity can form an actual unity through diversity to avoid extinction. Social actors can recognise informational imperatives for cognition, communication and co-operation to achieve such a unity. By doing so, they apply a logic that underlies the structuration of any agency, which is a real logic of self-organising systems from the physical to the social. This logic is the Logic of the Third — the Third is a meta-structure that emerges in a leap. The agents interact and when they co-act they are likely to form a real meta-structure of organisational relations. Informational agents anticipate this by generating requisite information in their attempt to cope with complex challenges. Such an information is a meta-structure too. The Third helps achieve synergy effects.This book discusses considerations from philosophy, systems theory, the study of information, social systems, social information, ecology and technology. It addresses ethical issues connected with the long-forgotten arms race in an atomic age, the global warming not yet under control, the pandemic misunderstood, the social question still unanswered.

The main part of the book consists of the dialogue between physicist Otto Rössler, and artist and AI researcher Bill Seaman with the commentaries disclosing information perspective by information scientist Mark Burgin and Bill Seaman. In this dialogue, Rössler and Seaman discuss concepts surrounding Rössler's major research over his lifetime. Additionally, each research topic is linked to the set of papers and books published by Rössler and other related collaborative researchers. The goal is to delineate an intellectual directory for future researchers. The discussed topics being transdisciplinary in nature cross many fields in science and technology. A comprehensive historical bibliography is also included. The work explores many fields germane to theoretical science as Rössler was often quite early in developing these fields and interacting with many famous scientists. This work pertains to information theory, which has often been left out of the historical literature.Burgin as an expert in information theory is providing an information perspective on this dialogue adding historical discussion and relevant scientific and mathematical underpinnings of the discussed ideas. His observations are complemented by Seaman, who presents the synthesis of artistic and scientific outlook.Addendum contains articles describing Rössler's relationships to colleagues from multiple fields, a parable by Rössler and papers related to Rössler's research and theoretical models of processes in the universe.

This book deals with two main topics. The first is a theory that aims to unify the many interpretations of probability presented in the literature. The second uses this comprehensive theory of probability to answer the questions of quantum mechanics that have long been debated. The entire book proposes original solutions that several experimental cases substantiate.

This book is a collection of works related to information contributed by multiple authors dedicated to the memory of Mark Burgin who passed away on February 18, 2023. Mark Burgin had a very wide range of research and philosophical interests which has a reflection in the very broad subject range of the contributions to this book honoring his memory as an outstanding member of the academic community.The book Understanding Information and Its Role as a Tool: In Memory of Mark Burgin has two parts which have self-explanatory titles classifying submissions into two categories. One of them is "Understanding Information: Theory and Foundations" and the other "Information Realm: Information as a Tool for Exploring Reality". The former is intended as an inquiry of the concept of information itself, the latter as an inquiry of the use of the concept of information as a methodological tool for diverse forms of inquiries.The book was originally planned together with Mark Burgin and only after his passing was transformed by its present editors into his memorial. It was intended as a means to promote and disseminate the results of the ongoing research on information stimulated, initiated, or influenced by the 2021 IS4SI Summit. In the present form it goes way beyond its original design to focus on the most recent developments in the fields of information study.

This unique volume presents a new approach — the general theory of information — to scientific understanding of information phenomena. Based on a thorough analysis of information processes in nature, technology, and society, as well as on the main directions in information theory, this theory synthesizes existing directions into a unified system. The book explains how this theory opens new kinds of possibilities for information technology, information sciences, computer science, knowledge engineering, psychology, linguistics, social sciences, and education.The book also gives a broad introduction to the main mathematically-based directions in information theory. The general theory of information provides a unified context for existing directions in information studies, making it possible to elaborate on a comprehensive definition of information; explain relations between information, data, and knowledge; and demonstrate how different mathematical models of information and information processes are related.Explanation of information essence and functioning is given, as well as answers to the following questions: how information is related to knowledge and data;; how information is modeled by mathematical structures;; how these models are used to better understand computers and the Internet, cognition and education, communication and computation.;

This book is the first volume of a two-volume edition based on the International Society for Information Studies Summit Vienna 2015 on "The Information Society at the Crossroads. Response and Responsibility of the Sciences of Information" (see summit.is4is.org).The book represents a trans-disciplinary endeavor of the leading experts in the field of information studies posing the question for a better society, in which social and technological innovations help make information key to the flourishing of humanity and dispense with the bleak view of the dark side of information society.It is aimed at readers that conduct research into any aspect of information, information society and information technology, who develop or implement social or technological applications. It is also for those who have an interest in participating in setting the goals for sciences of information and social applications of technological achievements and scientific results.

This book is the second volume of a two-volume edition based on the International Society for Information Studies Summit Vienna 2015 on "The Information Society at the Crossroads. Response and Responsibility of the Sciences of Information" (see summit.is4is.org).The book gives an up-to-date multiaspect exposition of contemporary studies in the field of information and related areas. It presents most recent achievements, ideas and opinions of leading researchers in this domain reflecting their quest for advancing information science and technology. With the goal of building a better society, in which social and technological innovations help make information key to the flourishing of humanity, we dispense with the bleak view of the dark side of information society.It is aimed at readers that conduct research into any aspect of information, information society and information technology, who develop or implement social or technological applications. It is also for those who have an interest in participating in setting the goals for the sciences of information and the social applications of technological achievements and the scientific results.

The book is a collection of papers of experts in the fields of information and complexity. Information is a basic structure of the world, while complexity is a fundamental property of systems and processes. There are intrinsic relations between information and complexity.The research in information theory, the theory of complexity and their interrelations is very active. The book will expand knowledge on information, complexity and their relations representing the most recent and advanced studies and achievements in this area.The goal of the book is to present the topic from different perspectives — mathematical, informational, philosophical, methodological, etc.

The book is a unique exploration of a spectrum of unexpected analogs to psychopathologies likely to afflict real-time critical systems, written by a specialist in the epidemiology of mental disorders. The purpose of this book is to develop a set of information-theoretic statistical tools for analyzing the instabilities of real-time cognitive systems at those varying scales and levels of organization, with special focus on high level machine function.The book should be of particular interest to both industry and academic scientists, and government regulators, concerned with driverless cars on intelligent roads. Many of the same concerns also afflict high-end automated weapons systems. The book should appeal to students, researchers, and industrial and governmental administrators facing the design, operation, and maintenance of real time critical systems ranging across manufacturing facilities, transportation, finance, and military operations.

This is the first attempt to delineate the synthetic field of the theoretical study of information, treating information as the basic phenomenon on the fundamental level of the world, encompassing nature, technology, individuals and society. The exploration of information is done within Info-computational approaches, to natural and social phenomena such as Bioinformatics, Information Physics, Informational Chemistry, Computational Physics, Cognitive and Social sciences, with special emphasis on interdisciplinary, crossdisciplinary and transdisciplinary knowledge.The book presents results of collaboration across research fields within info-computational and info-structural frameworks, in attempt to better theoretically and conceptually capture the phenomenon of information and its dynamics (such as computation and communication), as they appear on different levels of organization, on different scales and in different contexts.

The book gives up-to-date, multi-aspect exposition of the philosophy and methodology of information, and related areas within the nascent field of the study of information. It presents the most recent achievements, ideas and opinions of leading researchers in this domain, as well as from physicists, biologists and social scientists. Collaboration of researchers from different areas and fields opens new perspectives for the understanding of information essential in the innovative development of science, technology and society.The book is meant for readers conducting research into any aspect of information, information society and information technology. The ideas presented give new insights for those who develop or implement scientific, technological or social applications. They are especially for those who are participating in setting the goals for science in general and sciences of information in particular.

Information is a basic structure of the world, while computation is a process of the dynamic change of information. This book provides a cutting-edge view of world's leading authorities in fields where information and computation play a central role. It sketches the contours of the future landscape for the development of our understanding of information and computation, their mutual relationship and the role in cognition, informatics, biology, artificial intelligence, and information technology.This book is an utterly enjoyable and engaging read which gives readers an opportunity to understand and relate phenomena seemingly unrelated in a completely new light — especially the connections between information, computation, cognition and life.

At the dawn of the information age, a proper understanding of information and how it relates to matter and energy is of utmost importance for the survival of civilisation. Yet, attempts to reconcile information concepts underlying science and technology with those en vogue in social science, humanities, and arts are rather rare. This book offers a new approach, departing from fragmented information concepts.Many academics refrain from undergoing unifications, as most undertakings are reductionistic. This book contends that it is the noble task of an as-yet-to-be-developed science of information to go one step in the direction of a unified theory of information without falling back into neither reduction nor anthropomorphisation.To be able to succeed in an ambitious task like this, the book advocates the application of complex systems theory and its philosophical underpinnings. Information needs to be interpreted in terms of self-organisation to do justice to the richness of its manifestations. The way the book does so will provide the reader with a deep insight into a basic feature of our world.The following are discussed in the volume: A Science of Information; A New Way of Thinking; Praxio-Onto-Epistemology; Evolutionary Systems Design; Evolutionary Systems Ontology; Evolutionary Systems Methodology; Capurro's Information Concept Trilemma; A Multi-Stage Model of Evolutionary Types of Information: Pattern Formation, Code-Making, and Constituting Sense; A Triple-C Model of Systemic Functions of Information: Cognising, Communicating, and Co-Operating; Nine Categories of Information Capabilities: Reflectivity (physical), Psyche (biotic), Consciousness (human); Connectivity (physical), Signalability (biotic), Languageability (human); Cohesiveness (physical), Coherency (biotic), Communitarity (human); Nine Categories of Information: Response (physical), Flexible Response (biotic), Reflexion (human); Correspondences (physical), Signals (biotic), Symbolic Acts (human); Assemblage (physical), Assignment (biotic), Association (human); A Unified Theory of Information for, about, and by means of the Information Society.

This book aims to synthesize different directions in knowledge studies into a unified theory of knowledge and knowledge processes. It explicates important relations between knowledge and information. It provides the readers with understanding of the essence and structure of knowledge, explicating operations and process that are based on knowledge and vital for society.The book also highlights how the theory of knowledge paves the way for more advanced design and utilization of computers and networks.

The monograph applies sophisticated topological symmetry tools to biological applications of information theory, along with a Black–Scholes model invocation of the Data Rate Theorem which links information and control theories. The focus is on statistical mechanics and other models that explore pathological phase transitions — driven by changes in available rates of mitochondrial free energy — in physiological functions, a cutting-edge topic in the study of chronic disease. One of the key focuses is Alzheimer's disease — a relatively simple canonical example.

The book is the first in the trilogy which will bring you to the fascinating world of numbers and operations with them. Numbers provide information about myriads of things. Together with operations, numbers constitute arithmetic forming in basic intellectual instruments of theoretical and practical activity of people and offering powerful tools for representation, acquisition, transmission, processing, storage, and management of information about the world.The history of numbers and arithmetic is the topic of a variety of books and at the same time, it is extensively presented in many books on the history of mathematics. However, all of them, at best, bring the reader to the end of the 19th century without including the developments in these areas in the 20th century and later. Besides, such books consider and describe only the most popular classes of numbers, such as whole numbers or real numbers. At the same time, a diversity of new classes of numbers and arithmetic were introduced in the 20th century.This book looks into the chronicle of numbers and arithmetic from ancient times all the way to 21st century. It also includes the developments in these areas in the 20th century and later. A unique aspect of this book is its information orientation of the exposition of the history of numbers and arithmetic.

This book is about the nature of information. It touches on many core issues of philosophy of the mind, ontology, and epistemology, and draws in several domain-specific concepts from physics, mathematics, thermodynamics, computer science, and biology. The terms used in this book, such as the mind, a conscious agent, meaning, and knowledge are used with very precise meanings because they can be easily misinterpreted. A proper understanding of these terms can be gained from the referenced literature. But more specifically, this book is about the concept of information as physical phenomenon.The book is a unique exposition of the concept of information as physical phenomenon. It provides the detailed analysis and synthesis of the current conceptualizations of information demonstrating the lack of common definition and their incompleteness. The detailed argument is provided why information may be defined as a physical phenomenon and why this type of information may be seen as fundamental to our understanding of this concept.

This book is a scientific basis for understanding the urgent need for a Great Transformation to a third step in social evolution. Already being a community of common destiny, humanity can form an actual unity through diversity to avoid extinction. Social actors can recognise informational imperatives for cognition, communication and co-operation to achieve such a unity. By doing so, they apply a logic that underlies the structuration of any agency, which is a real logic of self-organising systems from the physical to the social. This logic is the Logic of the Third — the Third is a meta-structure that emerges in a leap. The agents interact and when they co-act they are likely to form a real meta-structure of organisational relations. Informational agents anticipate this by generating requisite information in their attempt to cope with complex challenges. Such an information is a meta-structure too. The Third helps achieve synergy effects.This book discusses considerations from philosophy, systems theory, the study of information, social systems, social information, ecology and technology. It addresses ethical issues connected with the long-forgotten arms race in an atomic age, the global warming not yet under control, the pandemic misunderstood, the social question still unanswered.

The main part of the book consists of the dialogue between physicist Otto Rössler, and artist and AI researcher Bill Seaman with the commentaries disclosing information perspective by information scientist Mark Burgin and Bill Seaman. In this dialogue, Rössler and Seaman discuss concepts surrounding Rössler's major research over his lifetime. Additionally, each research topic is linked to the set of papers and books published by Rössler and other related collaborative researchers. The goal is to delineate an intellectual directory for future researchers. The discussed topics being transdisciplinary in nature cross many fields in science and technology. A comprehensive historical bibliography is also included. The work explores many fields germane to theoretical science as Rössler was often quite early in developing these fields and interacting with many famous scientists. This work pertains to information theory, which has often been left out of the historical literature.Burgin as an expert in information theory is providing an information perspective on this dialogue adding historical discussion and relevant scientific and mathematical underpinnings of the discussed ideas. His observations are complemented by Seaman, who presents the synthesis of artistic and scientific outlook.Addendum contains articles describing Rössler's relationships to colleagues from multiple fields, a parable by Rössler and papers related to Rössler's research and theoretical models of processes in the universe.

This book deals with two main topics. The first is a theory that aims to unify the many interpretations of probability presented in the literature. The second uses this comprehensive theory of probability to answer the questions of quantum mechanics that have long been debated. The entire book proposes original solutions that several experimental cases substantiate.

This book is a collection of works related to information contributed by multiple authors dedicated to the memory of Mark Burgin who passed away on February 18, 2023. Mark Burgin had a very wide range of research and philosophical interests which has a reflection in the very broad subject range of the contributions to this book honoring his memory as an outstanding member of the academic community.The book Understanding Information and Its Role as a Tool: In Memory of Mark Burgin has two parts which have self-explanatory titles classifying submissions into two categories. One of them is "Understanding Information: Theory and Foundations" and the other "Information Realm: Information as a Tool for Exploring Reality". The former is intended as an inquiry of the concept of information itself, the latter as an inquiry of the use of the concept of information as a methodological tool for diverse forms of inquiries.The book was originally planned together with Mark Burgin and only after his passing was transformed by its present editors into his memorial. It was intended as a means to promote and disseminate the results of the ongoing research on information stimulated, initiated, or influenced by the 2021 IS4SI Summit. In the present form it goes way beyond its original design to focus on the most recent developments in the fields of information study.

This unique volume presents a new approach — the general theory of information — to scientific understanding of information phenomena. Based on a thorough analysis of information processes in nature, technology, and society, as well as on the main directions in information theory, this theory synthesizes existing directions into a unified system. The book explains how this theory opens new kinds of possibilities for information technology, information sciences, computer science, knowledge engineering, psychology, linguistics, social sciences, and education.The book also gives a broad introduction to the main mathematically-based directions in information theory. The general theory of information provides a unified context for existing directions in information studies, making it possible to elaborate on a comprehensive definition of information; explain relations between information, data, and knowledge; and demonstrate how different mathematical models of information and information processes are related.Explanation of information essence and functioning is given, as well as answers to the following questions: how information is related to knowledge and data;; how information is modeled by mathematical structures;; how these models are used to better understand computers and the Internet, cognition and education, communication and computation.;

This book is the first volume of a two-volume edition based on the International Society for Information Studies Summit Vienna 2015 on "The Information Society at the Crossroads. Response and Responsibility of the Sciences of Information" (see summit.is4is.org).The book represents a trans-disciplinary endeavor of the leading experts in the field of information studies posing the question for a better society, in which social and technological innovations help make information key to the flourishing of humanity and dispense with the bleak view of the dark side of information society.It is aimed at readers that conduct research into any aspect of information, information society and information technology, who develop or implement social or technological applications. It is also for those who have an interest in participating in setting the goals for sciences of information and social applications of technological achievements and scientific results.

This book is the second volume of a two-volume edition based on the International Society for Information Studies Summit Vienna 2015 on "The Information Society at the Crossroads. Response and Responsibility of the Sciences of Information" (see summit.is4is.org).The book gives an up-to-date multiaspect exposition of contemporary studies in the field of information and related areas. It presents most recent achievements, ideas and opinions of leading researchers in this domain reflecting their quest for advancing information science and technology. With the goal of building a better society, in which social and technological innovations help make information key to the flourishing of humanity, we dispense with the bleak view of the dark side of information society.It is aimed at readers that conduct research into any aspect of information, information society and information technology, who develop or implement social or technological applications. It is also for those who have an interest in participating in setting the goals for the sciences of information and the social applications of technological achievements and the scientific results.

The book is a collection of papers of experts in the fields of information and complexity. Information is a basic structure of the world, while complexity is a fundamental property of systems and processes. There are intrinsic relations between information and complexity.The research in information theory, the theory of complexity and their interrelations is very active. The book will expand knowledge on information, complexity and their relations representing the most recent and advanced studies and achievements in this area.The goal of the book is to present the topic from different perspectives — mathematical, informational, philosophical, methodological, etc.

The book is a unique exploration of a spectrum of unexpected analogs to psychopathologies likely to afflict real-time critical systems, written by a specialist in the epidemiology of mental disorders. The purpose of this book is to develop a set of information-theoretic statistical tools for analyzing the instabilities of real-time cognitive systems at those varying scales and levels of organization, with special focus on high level machine function.The book should be of particular interest to both industry and academic scientists, and government regulators, concerned with driverless cars on intelligent roads. Many of the same concerns also afflict high-end automated weapons systems. The book should appeal to students, researchers, and industrial and governmental administrators facing the design, operation, and maintenance of real time critical systems ranging across manufacturing facilities, transportation, finance, and military operations.

This is the first attempt to delineate the synthetic field of the theoretical study of information, treating information as the basic phenomenon on the fundamental level of the world, encompassing nature, technology, individuals and society. The exploration of information is done within Info-computational approaches, to natural and social phenomena such as Bioinformatics, Information Physics, Informational Chemistry, Computational Physics, Cognitive and Social sciences, with special emphasis on interdisciplinary, crossdisciplinary and transdisciplinary knowledge.The book presents results of collaboration across research fields within info-computational and info-structural frameworks, in attempt to better theoretically and conceptually capture the phenomenon of information and its dynamics (such as computation and communication), as they appear on different levels of organization, on different scales and in different contexts.

The book gives up-to-date, multi-aspect exposition of the philosophy and methodology of information, and related areas within the nascent field of the study of information. It presents the most recent achievements, ideas and opinions of leading researchers in this domain, as well as from physicists, biologists and social scientists. Collaboration of researchers from different areas and fields opens new perspectives for the understanding of information essential in the innovative development of science, technology and society.The book is meant for readers conducting research into any aspect of information, information society and information technology. The ideas presented give new insights for those who develop or implement scientific, technological or social applications. They are especially for those who are participating in setting the goals for science in general and sciences of information in particular.

Information is a basic structure of the world, while computation is a process of the dynamic change of information. This book provides a cutting-edge view of world's leading authorities in fields where information and computation play a central role. It sketches the contours of the future landscape for the development of our understanding of information and computation, their mutual relationship and the role in cognition, informatics, biology, artificial intelligence, and information technology.This book is an utterly enjoyable and engaging read which gives readers an opportunity to understand and relate phenomena seemingly unrelated in a completely new light — especially the connections between information, computation, cognition and life.

At the dawn of the information age, a proper understanding of information and how it relates to matter and energy is of utmost importance for the survival of civilisation. Yet, attempts to reconcile information concepts underlying science and technology with those en vogue in social science, humanities, and arts are rather rare. This book offers a new approach, departing from fragmented information concepts.Many academics refrain from undergoing unifications, as most undertakings are reductionistic. This book contends that it is the noble task of an as-yet-to-be-developed science of information to go one step in the direction of a unified theory of information without falling back into neither reduction nor anthropomorphisation.To be able to succeed in an ambitious task like this, the book advocates the application of complex systems theory and its philosophical underpinnings. Information needs to be interpreted in terms of self-organisation to do justice to the richness of its manifestations. The way the book does so will provide the reader with a deep insight into a basic feature of our world.The following are discussed in the volume: A Science of Information; A New Way of Thinking; Praxio-Onto-Epistemology; Evolutionary Systems Design; Evolutionary Systems Ontology; Evolutionary Systems Methodology; Capurro's Information Concept Trilemma; A Multi-Stage Model of Evolutionary Types of Information: Pattern Formation, Code-Making, and Constituting Sense; A Triple-C Model of Systemic Functions of Information: Cognising, Communicating, and Co-Operating; Nine Categories of Information Capabilities: Reflectivity (physical), Psyche (biotic), Consciousness (human); Connectivity (physical), Signalability (biotic), Languageability (human); Cohesiveness (physical), Coherency (biotic), Communitarity (human); Nine Categories of Information: Response (physical), Flexible Response (biotic), Reflexion (human); Correspondences (physical), Signals (biotic), Symbolic Acts (human); Assemblage (physical), Assignment (biotic), Association (human); A Unified Theory of Information for, about, and by means of the Information Society.

This book aims to synthesize different directions in knowledge studies into a unified theory of knowledge and knowledge processes. It explicates important relations between knowledge and information. It provides the readers with understanding of the essence and structure of knowledge, explicating operations and process that are based on knowledge and vital for society.The book also highlights how the theory of knowledge paves the way for more advanced design and utilization of computers and networks.

The monograph applies sophisticated topological symmetry tools to biological applications of information theory, along with a Black–Scholes model invocation of the Data Rate Theorem which links information and control theories. The focus is on statistical mechanics and other models that explore pathological phase transitions — driven by changes in available rates of mitochondrial free energy — in physiological functions, a cutting-edge topic in the study of chronic disease. One of the key focuses is Alzheimer's disease — a relatively simple canonical example.