Burgin Mark. Theory of Information: Fundamentality, Diversity and Unification

World Scientific, 2010. — xvi, 672 pages. — (World Scientific Series in Information Studies). — ISBN13: 978-981-283-548-2.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. In this book, 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; and, how these models are used to better understand computers and the Internet, cognition and education, communication and computation.How Do We Know What Information Is?
Information in Society
Information in Nature
Technological Aspects of Information
Structure of the Book
General Theory of Information
Signs, Symbols and the World
What Information Is: Information Ontology
How to Measure Information: Information Axiology
Types and Properties of Information: Information Typology
Information, Data, and Knowledge
Emotions and Information
Statistical Information Theory
Information and Communication
Information and Entropy
Quantum Information
Information and Problem Solving
Axiomatization of Information Measurement
Information in Physics
Semantic Information Theory
Three Dimensions of Information
Logical Approach of Bar-Hillel and Carnap, Hintikka, and others: Logic in Information
Knowledge-base Approach of Mackay, Shreider, Brooks, Mizzaro, and others: Knowledge from Information
Algorithmic Information Theory
Information, Algorithms, and Complexity
Algorithmic Information Theory based on Recursive Algorithms: Recursive Approach
Algorithmic Information Theory based on Inductive Algorithms: Inductive Approach
Conditional Information Size as a Relative Information Measure: Relativistic Approach
Dual Complexity and Information Measures: Axiomatic Approach in Algorithmic Information Theory
Pragmatic Information Theory
Economic Approach of Marschak: Cost of Information
Mission-Oriented Approach: Value, Cost, and Quality of Information
Transformational Approach of Mazur: Impetus of Information
Dynamics of Information
Information Flow in the Approach of Dretske, Barwise and Seligman: Information Process
Operator Approach of Chechkin: Information Action
Information Algebra and Geometry
Interpreted Information Algebra
Abstract Information Algebra
Information GeometryMathematical Foundations of Information Theory
Set Theoretical Foundations
Elements of the Theory of Algorithms
Elements of Logic
Elements of Algebra and Category Theory
Elements of Probability Theory
Numbers and Numerical Functions
Topological, Metric and Normed Spaces