JAN KÅHRE
The mathematical Theory of
Information
THE MATHEMATICAL THEORY OF INFORMATION presents a new mathematical theory of information, built on a single powerful
postulate: The Law of Diminishing Information. The concept of information is
here, for the first time, defined mathematically by adding this postulate to the
axioms of the probability theory. The Law of Diminishing Information is founded
on a fusion of two fundamental ideas: Carnap's and BarHillel's Ideal Receiver
and Shannon's Noisy Channel.
The Law of Diminishing Information is applied to information technology, game
theory, legislation, logic of research, algorithmic information, chaos theory,
control engineering, medical tests and biological evolution. In physics, both
The Second Law of Thermodynamics and Schrödinger's wave function are derived
from The Law of Diminishing Information. The conventional information theory,
that of telecommunications, is analyzed as a special case, and eight conditions
for its applicability are listed.
The reader will get the essential ideas to understand and use the concept of
information. THE MATHEMATICAL THEORY OF INFORMATION is suitable as a textbook in
general information theory for students of technical, scientific and
mathematical subjects. The book is ideal as a supplementary textbook in
traditional courses on telecommunications information theory at all levels.
The web site of the book is www.matheory.info.
