Mathematical Subject Classification as the Basis for Modification of the LBC Medium Schedules

The article considers the representation of mathematics research problems in the Mathematics Subject Classification (MSC), developed and used by two major mathematical review databases — Mathematical Reviews and Zentralblatt MATH, and in the Library and Bibliographic Classification (LBC), recognized by the National Classification System of Russia. Proposals for revising the subsection of mathematics in the complex of physical and mathematical sciences are presented to solve the problem of developing the scientific concept of the second edition of the LBC Middle Tables. The peculiarities of literature delimitation within the subsection and between other departments of the LBC Medium Tables are given. Difficult cases of literature separation between mathematics and logic are considered and ways of overcoming these problems are suggested. The modern treatment of the algebraic system is given. The ambiguity of the term “universal algebra” is considered. To determine the main place of universal algebra it is proposed to exclude the theory of general algebraic systems from the section of mathematical logic, which will be united with universal algebra in the section of general algebra. This will make it possible to build a unified concept of construction of logical and algebraic sections in MSC and LBC. In probability theory it is proposed to introduce the term “possibility” as an alternative to “probability”. The place for the literature reflecting the application of possibility theory in such a topical area of computer science as artificial intelligence systems is determined. The literature on mathematical programming, computer programming for creating websites for the end user with no programming training is distinguished.