About the class, classification and systematization

We consider a few classification definitions and explanations in domestic sources. It detected the ambiguity of the classification term. He refers to both the process and its result. It is proposed to call these concepts are different terms. In order to eliminate a number of uncertainties in the interpretation of classification, its methods and systematization of knowledge offered to attract mathematical models of class and system. The models of the formation of classes, used by different methods of classifying objects are considered. Classifying methods properties and classifications obtained on the basis of classifying methods are systematized. Mathematical model of dividing the volume of the concepts is discussed. Wrong choice of the class model is shown on a concrete example. Inductive methods of classifying objects and archetype method are considered. The system model is used to distinguish the processes of classification and systematization. It is illustrated by the example of the Mendeleev periodic system of chemical elements. Classification concepts are refined.