"Metaprogram"\ of Substantiation of Mathematics and its Value as a Knowledge Tool

The theoretical analysis of the "metaprogram"\ of substantiation of mathematics, which is in the basis of the modern conceptions of the mathematics development, is made in this paper with the help of the system principle. The biggest instrumental value of mathematics in the development of investigation is that the inner organization and structure of different natural scientific theories is expressed in the abstract language of mathematics.