System modelling of processes of accumulation and dissipation of knowledge

Abstract

A mathematical model of the system of accumulation and dissipation of knowledge based on the principles of interdisciplinary interaction is proposed. Critical points and stages of the dissipation process are identified. The phenomenon of motivated formation in human brain of residual knowledge as an ordered stable information structure is established on the basis of the analysis of system experimental researches for the asymptotics of knowledge dissipation process. It is shown that the mean value of the residual knowledge volume is invariant with respect to any of the parameters of knowledge accumulation/dissipation processes and is equal to the smaller of the two volumes obtained from the "golden cut" of the most possible level of the knowledge prescribed by the current standards of education.