Filatova, Olga Ye.

This year marks the 70th anniversary of the publication of the monograph by N.A. Bernshtein "On the construction of movements" and 60 years since the publication of his eighth essay "The urgent problems of the regulation of motor acts". In these works, for the first time, the problem of uncertainty in the organization (and dynamics of behavior) of all systems, which we now designate as homeostatic or systems of the third type, according to W. Weaver's classification, was first raised. This problem was voiced by N.A. Bernstein as the hypothesis of "repetition without repetition", within which it is possible (as suggested by Bernstein) to describe any motor acts. After a detailed study of the various types of motion in biomechanics, we ascertained that modern deterministic-stochastic science has approached its developmental boundary in the study of living systems, since the main thesis about the repeatability and predictability of the state of the biosystem (neuronets of the brain, the human psyche) is violated. We turn to the study of systems that are in a continuous chaotic regime of changes of any parameters x_i of such (unstable) systems. The Eskov-Zinchenko effect, which is a quantitative proof of Bernshtein’s hypothesis of "repetition without repetition", is that the successively obtained samples x_i (in one, unchanged state) demonstrate a kaleidoscope of statistical distribution functions f(x), i.e. f_j(x_i)≠f_j+1(x_i) for two neighboring registered (from one person) registered samples x_i (i.e., for the jth and j+1th). This erases the boundaries between arbitrary and involuntary movements from the standpoint of their objective, statistical evaluation. Statistical instability of any received samples of parameters x_i, which describe homeostatic systems, requires new concepts and new models - models of homeostasis.

According to modern concepts, the idea of a paradigm is associated with a certain common approach within the natural sciences in description of a large class of processes, objects, systems. If we’re talking about a global paradigm, this means such (global) paradigm should cover the huge classes of objects in nature and society. Today we highlight three global paradigms throughout modern science, which cover three global clusters of all processes and objects of living nature and inanimate nature. W. Weaver was first who proposed such statements in 1948 in his famous publication “Science and complexity”. However, during nearly 70 years almost no one paid any attention to these statements (though he spoke very simply about the most important things). W. Weaver has divided all objects and systems in nature into three giant clusters: the simplest systems (simplicity), which are described now in the framework of deterministic theories and models, unorganized complexity (stochastic system) and system of third type — organized complexity (organized complexity). Under the system of the third type he understood all living systems, but no special features in their organization has been identified and learned by W. Weaver. It is now clear that he could not do the study within the framework of modern science because this requires a different (third) paradigm and different science.