Prospects of metamathematical structures in science
S. M. Krylov
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki · 2013
doi:10.14498/vsgtu1203 (opens in a new tab)
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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.
Abstract licence: CC BY
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