Algebra as a Justification for an Architectural Design Project: The Contribution of the Russian Engineer N. M. Gersevanov
https://doi.org/10.18384/2310-7227-2023-2-108-119
Abstract
Aim. The purpose of this paper is to analyze the logical and mathematical ideas of N. M. Gersevanov, a prominent Russian hydraulic engineer and founder of the Russian school of soil mechanics. At the time when mathematical logic was taking its first steps in Russia, this famous mechanical engineer had already been widely applying its approaches in the stability analysis of embankments supported by “the cribwork”, a wooden structure filled with cobbles and clay that served as the base for embankments. To achieve the goal of the research, the author solves the following tasks: showing the conditions under which N. M. Gersevanov employed the tools of logic; identifying patterns of logic algebra applied by the Russian hydraulic engineer to substantiate the stability of hydraulic structures; identify the motives that encouraged Gersevanov to apply mathematical logic and syllogistics in his theoretical research.
Methodology. The author’s research methods included the retrospective analysis of sources on the history of logic.
Results. In the course of the study the author found out that Gersevanov, who had frequently applied the apparatus of mathematical logic to engineering calculations, was ahead of other domestic logicians in this matter.
Research implications. The study makes it clear how the domestic schools of non-classical and mathematical logic were formed in the middle of the 20th century.
About the Author
I. Pryadko
Moscow State University of Civil Engineering
Russian Federation
Russian Federation
Igor P. Pryadko – Cand. Sci. (Culturology), Assoc. Prof.
Yaroslavskoye Shosse 26, Moscow 129337
References
1. Biryukov B. V., Kuzicheva Z. A. [From Applications of Logic: About the Work of Gersevanov “Application of Mathematical Logic to the Calculation of Structures”]. In: Kobzar’ V. I., ed. Sovremennaya logika: materialy X nauchnoj konferencii, St. Petersburg, 26–28 iyunya 2008 g. [Modern Logic: Materials of the X Scientific Conference, St. Petersburg, June 26–28, 2008]. St. Petersburg, St. Petersburg State University Publ., 2008, pp. 194–196.
2. Biryukov B. V., Trostnikov V. I. Zhar holodnyh chisl i pafos besstrastnoj logiki [The Heat of Cold Numbers and the Pathos of Dispassionate Logic]. Moscow, LIBROKOM Publ., 2009. 232 p.
3. Gersevanov N. M. [Application of Mathematical Logic to the Calculation of Structures]. In: Gersevanov N. M. Sobranie sochinenii. T. 1 [Collected Works. Vol. 1]. Moscow, Strojvoenizdat Publ., 1948, pp. 123–204.
4. Draganova A. K. [Problems and Prospects of Socio-Economic Development of Novorossiysk]. In: Ekologogeograficheskie problemy regionov Rossii: materialy X Vserossijskoj nauchno-prakticheskoj konferencii s mezhdunarodnym uchastiem, posvyashchyonnoj 100-letiyu so dnya rozhdeniya d. g. n., professora V. I. Prokaeva i 90-letiyu estestvenno-geograficheskogo fakul’teta SGSPU, g. Samara, 15 yanvarya 2019 g. [Ecological and Geographical Problems of Russian Regions: Materials of the X All-Russian Scientific and Practical Conference with International Participation, Dedicated to the 100th anniversary of the Birth of Doctor of Science, Prof. V. I. Prokaev and the 90th Anniversary of the Faculty of Natural Geography of the SGSPU, Samara, January 15, 2019]. Samara, Samara State Social and Pedagogical University Publ., 2019, pp. 306–308.
5. Zhaldak N. N. Zadachi po logike [Tasks in Logic]. Belgorod, LitKaraVan Publ., 2010. 83 p.
6. Kocherzhenko V. V., Sulejmanova L. A., Kocherzhenko A. V. Innovacionnye svajnye tekhnologii (zabivnye svai) [Innovative Pile Technologies (Driven Piles)]. Belgorod, Belgorod State Technological University named after V. G. Shukhov Publ., 2021. 93 p.
7. Krylenko V. V. [The Current State of the Coasts of the Azov-Black Sea Coast of Russia]. In: XXIX Beregovaya konferenciya: Naturnye i teoreticheskie issledovaniya: sbornik materialov konferencii, g. Kaliningrad, 18–24 aprelya 2022 g. [XXIX Coastal Conference: Field and Theoretical Research: Collection of Conference Materials, Kaliningrad, April 18–24, 2022]. Kaliningrad, Immanuel Kant Baltic Federal University Publ., 2022, pp. 19–24.
8. Kuzicheva Z. A. [From the History of Languages that Represent Knowledge]. In: Voprosy kibernetiki. Kibernetika i matematicheskaya logika v istoriko-metodologicheskom aspekte [Questions of Cybernetics. Cybernetics and Mathematical Logic in the Historical and Methodological Aspect]. Moscow, AS USSR Publ., 1984, pp. 10–22.
9. Couturat L. L’algèbre de la logique (Sleshinsky I., transl. Algebra logiki. Odessa, Mathesis Publ., 1909. 108 p.).
10. Levin V. I. [The History of the Discovery of Logical Modeling of Discrete Systems]. In: Kobzar’ V. I., ed. Sovremennaya logika: problemy teorii, istorii i primeneniya v nauke: materialy X Obshcherossijskoj nauchnoj konferencii, 26–28 iyunya 2008 g. [Modern Logic: Problems of Theory, History and Applications in Science: Materials of the X All-Russian Scientific Conference, June 26–28, 2008]. St. Petersburg, St. Petersburg State University Publ., 2008, pp. 437–439.
11. Meidich A. P., Albutova T. K., Bozhenko A. M. [Mechanized Non-Waste Technology for the Construction of Pile Foundations]. In: Perspektivy nauki [Prospects of Science], 2020, no. 11 (134), pp. 247–249.
12. Petrov Yu. A. [Practical Methodology of Science]. In: Vestnik MSI [MSI Bulletin], 1998, no. 4, pp. 45–49.
13. Ryabov M. G. [Reconstruction of Open Urban Spaces in the South of Russia]. In: Aktual’nye voprosy ohrany i ispol’zovaniya kul’turnogo naslediya Kryma: materialy VI nauchnoj konferencii, g. Simferopol’, 21–22 oktyabrya 2020 g. [Actual Issues of Protection and Use of the Cultural Heritage of Crimea: Materials of the VI Scientific Conference, Simferopol, October 21–22, 2020]. Simferopol, Arial Publ., 2019, pp. 220–225.
14. Frege G. Collected Works (Rus. ed.: Biryukov B., transl. Logika i logicheskaya semantika. Moscow, Aspekt-Press Publ., 2000. 512 p.).
15. Frege G. Begriffsschrift, eine der arithmetischen nachgebildete Formelsprache des reinen Denkens. Halle, Verlag Von Louis Nebert, 1879. 105 p.
Review
Views:
131
Email this article 