Abstract

Today there can be no doubt as to the fact that the concept of a set is indeed very significant. The complex mathematics we now have at our disposal allows us to make very precise descriptions of thousands of regularities and an even larger number of specific facts. Such descriptions enable us to infer about numerous phenomena that have not yet been directly encountered — they allow us to make predictions. The descriptive richness of the language of mathematics and the wealth of the methods of determining logical consequences can, in essence, be brought down to descriptive capacity and the deductive theory of multiplicities – i.e. general set theory. Since set theory is built around the concept of a set, this notion must be significant, as it is the source of the mentioned richness of its description.