  Trying to be effective (no matter who exactly and in what field) a person
face the problem which inevitably destroys all our attempts to easily get to a
desired goal. The problem is the existence of some insuperable barriers for our
mind, anotherwords barriers for principles of thinking. They are our clue and
main reason for research. Here we investigate these barriers and their features
exposing the nature of mental process. We start from special structures which
reflect the ways to define relations between objects. Then we came to realizing
about what is the material our mind uses to build thoughts, to make
conclusions, to understand, to form reasoning, etc. This can be called a mental
dynamics. After this the nature of mental barriers on the required level of
abstraction as well as the ways to pass through them became clear. We begin to
understand why thinking flows in such a way, with such specifics and with such
limitations we can observe in reality. This can help us to be more optimal. At
the final step we start to understand, what ma-thematical models can be applied
to such a picture. We start to express our thoughts in a language of
mathematics, developing an apparatus for our Spatial Theory of Mind, suitable
to represent processes and infrastructure of thinking. We use abstract algebra
and stay invariant in relation to the nature of objects.
