Abstract
A paradigm of cognition of metal-cutting machines in the logical and mathematical language of the general
 theory of systems is proposed. The methodology of creating and analyzing the kinematic structure of metal-cutting machines
 is considered. Fundamentals of the theory of shaping real surfaces in machine-building. The concept of classes
 of reproduction of real surfaces. Functional design of a particular kinematic structure of machine tools according
 to the function set by the method of formative processing. Generalization of particular structures into the generalized
 structure of a universal machine. The use of the cognition paradigm in the analysis of kinematic schemes of metalcutting
 machines.
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