Constructive processes in mathematics. Philosophical aspect. Trosnikov V.N.

The book is devoted to the analysis of those areas of mathematics that consider the concept of an infinite set fuzzy and in this regard refuse to use its use in the construction of the theory. The main attention is paid to the philosophical and scientific views of the Soviet school of constructive mathematics. The concepts of related currents are also considered. The book analyzes the views and traditional schools, in particular the scientific concept of the collective of French mathematicians who speak under the pseudonym N. Burbaka.