Prospects of metamathematical structures in science

Prospects of metamathematical structures in science

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 structure...

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Main Author: S. M. Krylov
Format: Article
Language:English
Published: Samara State Technical University 2013-06-01
Series:Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
Online Access:http://mi.mathnet.ru/eng/vsgtu1203
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spelling doaj-177a42ec6ab34028976bab79269548852020-11-25T01:31:27ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-06-012(31)10111010.14498/vsgtu1203 Prospects of metamathematical structures in scienceS. M. Krylov 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.http://mi.mathnet.ru/eng/vsgtu1203
collection DOAJ
language English
format Article
sources DOAJ
author S. M. Krylov
spellingShingle S. M. Krylov
Prospects of metamathematical structures in science
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
author_facet S. M. Krylov
author_sort S. M. Krylov
title Prospects of metamathematical structures in science
title_short Prospects of metamathematical structures in science
title_full Prospects of metamathematical structures in science
title_fullStr Prospects of metamathematical structures in science
title_full_unstemmed Prospects of metamathematical structures in science
title_sort prospects of metamathematical structures in science
publisher Samara State Technical University
series Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki
issn 1991-8615
2310-7081
publishDate 2013-06-01
description 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.
url http://mi.mathnet.ru/eng/vsgtu1203
work_keys_str_mv AT smkrylov prospectsofmetamathematicalstructuresinscience
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