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In modern theoretical mathematics there is an excess of semantically indefensible formalism; it destroys the rational knowledge accumulated in the classical period mathematics. It is proposed to change the approach to the introduction of axioms and primary terms in theoretical science. For this purpose there is an approved method of abstraction of identification, with the help of which constructive mathematical objects are created - specific concepts containing intensities of real sets of objects, phenomena and processes. In a broad sense, any theoretical discipline is a linguistic model of a three-level system of notions - single, concrete and common, united into one identical object by means of real relationship logic. The book is intended for physicists, mathematicians and students.