In this paper, much attention is paid to the structural features of concepts and abstractions (“abstract objects”) as ready-made, formed thoughts, and here, of course, the study does not go beyond the formal-logical analysis of thought processes and its forms. However, in the work there is also that aspect of the study of the process of abstraction and concepts that is characteristic of dialectical logic, which studies the laws of the formation, change and development of our knowledge. Therefore, where questions are considered about the role of practice in the formation of concepts, the question of the development of abstract activity of thinking, the mapping of constantly moving, changing reality in the exact, definite and discrete units of our thinking (abstractions, concepts) and t. p. , we inevitably invaded the area studied by dialectical logic. We considered it possible, however, not to specify specifically where the formal logical analysis ends and the analysis begins, which belongs to the competence of dialectical logic, leaving this issue to the reader himself to decide. Note that in this work only the most initial stage in the formation of concepts and abstractions is analyzed, associated only with the diversion of certain properties and relations from other properties and relations and from the objects of reality themselves, as well as the process of formation of "abstract objects" .. Questions related to the reflection in the concepts of essential properties and logical connections of reality, in the work are touched only in passing. As for the processes of development of concepts and their definition, they are not considered at all in the work ..