PROGRAMMING IDEA OF SYSTEMIC GENERALIZATION OF MATHEMATICS AND ITS APPLICATION FOR CREATION OF SYSTEMIC INFORMATION THEORY
05.00.00 Technical science
Programming idea of systemic generalization
of mathematics, essence of which consists of total change of meaning “set” on more common meaning
“system” and tracing of all consequences of it is
formulated and generalized in the article. Observance of adequacy principle, which is mandatory for more common theory is provided under it, because a system with zero level of systemic character is set. Expanded example of realization of this programming idea as
a systemic information theory, which is systemic
generalization of information theory of Nikewest-Boltzman-Hartley-Shannon and semantic information theory of Kharkevich , which was offered by the author, is brought.
SYNERGETIC INFORMATION THEORY
Part 2. Reflection of discrete systems in planes of signs of their description
01.00.00 Physical-mathematical sciences
Analysis of reflection of discrete system with final set of elements in planes of set of values of any sign is leaded. It is demonstrated that information reflected with system is divided on reflected and not reflected part and relevant information functions are got. Structured law of saving of sum of chaos and order is established and classification of discrete systems on their structural organization is given. Interrelation of synergetic and probabilistic information theories is shown. Law of information saving is established.