Abstract

Many methods are conceivable for resolution of the difficulties arising when motion is depicted in the logic of concepts. We shall set forth some of these methods, presenting them within the framework of the discussion in which V. I. Sviderskii, B. A. Dragun, and I. S. Narskii have already participated. In our opinion, attention must be directed primarily to the fact that in resolving the contradictions in the presentation of motion by means of ideal mathematical abstractions, it is impossible to base ourselves directly upon that which is occurring in the sphere of the things which we perceive with our senses. It is particularly when one forgets this fact that contradictory situations usually result. However, this does not at all mean that these data are of little value in treating of motion. Furthermore, the refinement of the meaning of the concepts in terms of which motion is described, taken together with the requirement that there be a rigorous differentiation between theories based on ideal abstractions and theories based on concepts derived from the sphere of empirical existence, may lead to the resolution of Zeno's paradoxes.