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 structures can...
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| Format: | Article |
| Language: | English |
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Samara State Technical University
2013-06-01
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| Series: | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
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| Online Access: | https://journals.eco-vector.com/1991-8615/article/viewFile/20832/17091 |
| _version_ | 1818061057397096448 |
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| author | Sergey M Krylov |
| author_facet | Sergey M Krylov |
| author_sort | Sergey M Krylov |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-12-10T13:42:16Z |
| format | Article |
| id | doaj.art-40f0d1434e764098a2f74db77502d589 |
| institution | Directory Open Access Journal |
| issn | 1991-8615 2310-7081 |
| language | English |
| last_indexed | 2024-12-10T13:42:16Z |
| publishDate | 2013-06-01 |
| publisher | Samara State Technical University |
| record_format | Article |
| series | Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki |
| spelling | doaj.art-40f0d1434e764098a2f74db77502d5892022-12-22T01:46:39ZengSamara State Technical UniversityVestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki1991-86152310-70812013-06-0117210111018249Prospects of metamathematical structures in scienceSergey M Krylov0Samara State Technical UniversityThe 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.https://journals.eco-vector.com/1991-8615/article/viewFile/20832/17091algebraic structuresalgorithms on physical objectsgeneral system theorygeneral formal technologyobject propertiesobject functionalitiesaxiomatic of metaphysicsevolutionary systems |
| spellingShingle | Sergey M Krylov Prospects of metamathematical structures in science Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki algebraic structures algorithms on physical objects general system theory general formal technology object properties object functionalities axiomatic of metaphysics evolutionary systems |
| title | 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_short | Prospects of metamathematical structures in science |
| title_sort | prospects of metamathematical structures in science |
| topic | algebraic structures algorithms on physical objects general system theory general formal technology object properties object functionalities axiomatic of metaphysics evolutionary systems |
| url | https://journals.eco-vector.com/1991-8615/article/viewFile/20832/17091 |
| work_keys_str_mv | AT sergeymkrylov prospectsofmetamathematicalstructuresinscience |