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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2013, Issue 2(31), Pages 101–110
DOI: https://doi.org/10.14498/vsgtu1203 (Mi vsgtu1203) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Systems Analysis

Prospects of metamathematical structures in science

S. M. Krylov

Samara State Technical University, Samara, 443100, Russia
Full-text PDF (178 kB) Citations (4)
(published under the terms of the Creative Commons Attribution 4.0 International License)
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DOI: https://doi.org/10.14498/vsgtu1203
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.
Original article submitted 21/I/2013
revision submitted – 25/II/2013
Bibliographic databases:
Document Type: Article
UDC: 519.68:681.51
MSC: Primary 03F50; Secondary 93A05
Language: Russian
Citation: S. M. Krylov, “Prospects of metamathematical structures in science”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(31) (2013), 101–110
Citation in format AMSBIB
\Bibitem{Kry13}
\by S.~M.~Krylov
\paper Prospects of metamathematical structures in science
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2013
\vol 2(31)
\pages 101--110
\mathnet{http://mi.mathnet.ru/vsgtu1203}
\crossref{https://doi.org/10.14498/vsgtu1203}
\elib{https://elibrary.ru/item.asp?id=20236346}
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  • https://www.mathnet.ru/eng/vsgtu/v131/p101
    • This publication is cited in the following 4 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
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    Full-text PDF :268
    References:66
    First page:1
     
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