When examining phenomena in nature and in communal life and in the course of conceptual logical arguments, people introduce various sorts of characteristic concepts and quantities that they use to describe their observations, their impressions of the essential nature and the properties of objects, various events and processes taking place at various places in the past and in the present time and in applicatiops in real life. These concepts and quantities may have a differing nature, in profound scientific treatments they can be mathematized, and in this way in many cases for the scientific characteristics we can determine the mathematical operations that reflect the various actual or conceptual situations and actions for the introduced model objects and events for their collectives. The foregoing can be illustrated in a very clear form if we associate with the characteristic quantities real or imaginary numbers, or numerical functions, or mathematical combinations of such numbers and functions.