Department of Mathematics, University of California, Los Angeles
Information, operator, principle, theory, concept, knowledge, representation, interaction
The general theory of information is a synthetic approach, which organizes and encompasses all main directions in information theory. It is developed on three levels: conceptual, methodological and theoretical. On the conceptual level, the concept of information is purified and information operations are separated and described. On the methodological level, it is formulated as system of principles, explaining what information is and how to measure information. On the theoretical level, mathematical models of information are constructed and studied. The goal of this paper is to clarify the concept of information and discuss its mathematical models, establishing relations with physics as the most developed science.
Mark Burgin, Department of Mathematics, University of California, Los Angeles
Mark Burgin received his Ph.D. in mathematics from Moscow State University and Doctor of Science in logic and philosophy from the National Academy of Sciences of Ukraine. He was a Professor at the Institute of Education, Kiev; at International Solomon University, Kiev; at Kiev State University, Ukraine; and Head of the Assessment Laboratory in the Research Center of Sci-ence at the National Academy of Sciences of Ukraine. Now he is a Visiting Scholar at UCLA, Los Angeles, California, USA. Dr. Burgin is a member of New York Academy of Sciences and Honorary Professor of the Aerospace Academy of Ukraine. He is Editor-in-Chief of the journal Integration and Information and Associate Editor of the International Journal on Comput-ers and their Applications. He was a member of organizing and program committees of more than 30 international confer-ences. Dr. Burgin is doing research, has publications, and taught courses in mathematics, computer science, information sciences, system theory, artificial intelligence, software engineering, logic, psychology, education, social sciences, and methodology of science. Dr. Burgin is the author or co-author of more than 500 published papers and 17 published books, including “Theory of Information” (2010), “Neoclassical Analysis: Calculus Closer to the Real World” (2008), “Super-recursive Algorithms” (2005), “On the Nature and Essence of Mathematics” (1998), “Intellectual Components of Creativity” (1998), “Fundamental Structures of Knowledge and Information” (1997), “Introduction to the Modern Exact Methodology of Science“ (1994).
Special Issue: Towards a New Science of Information