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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2013 Issue 2(31), Pages 101–110 (Mi vsgtu1203)

This article is cited in 4 papers

Systems Analysis

Prospects of metamathematical structures in science

S. M. Krylov

Samara State Technical University, Samara, 443100, Russia

Abstract: The paper deals with metamathematical structures based on Malcev's concept of algebraic systems. This approach allows us to extend this concept on systems of physical objects having physical interactions and without such interactions. It is shown, that these extended metamathematical structures can be used in rigorous (scientific) version of metaphysics including its axiomatic, as well as in the theory of evolutionary systems. The formal representation of the latter is differed from that of algebraic systems in mathematics.

Keywords: algebraic structures, algorithms on physical objects, general system theory, general formal technology, object properties, object functionalities, axiomatic of metaphysics, evolutionary systems.

UDC: 519.68:681.51

MSC: Primary 03F50; Secondary 93A05

Original article submitted 21/I/2013
revision submitted – 25/II/2013

DOI: 10.14498/vsgtu1203



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