Abstract:
In this paper, we study the rank characteristics for families of cubic theories, as well as new properties
of cubic theories as pseudofiniteness and smooth approximability. It is proved that in the family of cubic
theories, any theory is a theory of finite structure or is approximated by theories of finite structures. The
property of pseudofiniteness or smoothly approximability allows one to investigate finite objects instead of
complex infinite ones, or vice versa, to produce more complex ones from simple structures.
