Physics of systems with motivation as an interdisciplinary branch of science

The paper discusses the fundamental characteristics distinguishing the natural and social systems from each other. It considers in detail the basic approaches, prospects, and possibilities of constructing mathematical description for social systems as well as develops the appropriate notions required to do this. The main attention is focused on systems with motion treated as a characteristic example of social systems where the development of mathematical description should demonstrate the crucial ideas of fusing natural and social sciences.