DOI: 
10.22389/0016-7126-2020-961-7-27-36
1 Cherkashin A.K.
Year: 
№: 
961
Pages: 
27-36

Sochava Institute of Geography SB RAS

1, 
Abstract:
The purpose of the study is to show how the features of geocartographic way of thinking are manifested in the meta-theory of knowledge based on mathematical formalisms. General cartographic concepts and regularities are considered in the view of metatheoretic analysis using cognitive procedures of fiber bundle from differential geometry. On levels of metainformation generalization, the geocartographic metatheoretic approach to the study of reality is higher than the system-theoretical one. It regulates the type of equations, models, and methods of each intertheory expressed in its own system terms. There is a balance between the state of any system and its geographical environment; therefore the observed phenomena are only explained theoretically in a metatheoretic projection on the corresponding system-thematic layer of the knowledge map. Metatheoretic research enables passing from the systematization of already known patterns to the formation of new knowledge through the scientific stratification of reality. General methods of metatheoretic analysis are mathematically distinguished: bundle of sets, direct product, generation and generalization of knowledge.
The study was carried out under the RAS project IX.137.3.1 at the expense of the state assignment AAAA- A17-117041910167-0.
References: 
1.   Berliant A. M. Teoreticheskiye problemy kartografii. Мoskva: Izdatel’stvo MGU, 1993, 114 p.
2.   Bunge W. Theoretical Geography. Perevod s angliyskogo V. Ya. Barlasa, V. B. Kuznetsova, Yu. V. Medvedkova. Moskva: Progress, 1967, 279 p.
3.   Lyutyi A. A. Problemy teorii kartografii. Kontseptsii nauki i puti ikh integratsii. Izv. AN SSSR. Ser. geograficheskaya, 1985, no. 4, pp. 116–132.
4.   Myasnikova S.I., Cherkashin A.K. Optimizacionnoe geoinformacionnoe kartografirovanie. Geodeziya i kartografiya, 2007, no. 4, pp. 38–42.
5.   Petrova I. F. Klassifikatsiya ekologo-geograficheskikh kart. Geologiya, geografiya i global'naya energiya, 2011, no. 4 (43), pp. 217–223.
6.   Rodoman B. B. Geografiya, raionirovanie, kartoidy. Smolensk: Oikumena, 2007, 372 p.
7.   Salishchev K. A. Idei i teoreticheskiye problemy kartografi i 80-kh godov. Itogi nauki i tekhniki. Seriya: Kartografiya, Moskva: Izd-vo MGU, 1982, Vol. 10, 156 p.
8.   Tyutyunnik Yu. G. Geografiya KhKhІ: preodolet' zemnoe prityazhenie. Geograficheskii vestnik, 2017, no. 2, pp. 5–16. DOI: 10.17072/2079-7877-2017-2-5-16.
9.   Kh'yuzmoller D. Rassloennye prostranstva. Novokuznetsk: IO NFMI, 2000, 440 p.
10.   Benítez J., Thome N. (2004) Applications of differential geometry to cartography. International Journal of mathematical education, Volume 35, no. 1, pp. 29-38. DOI: 10.1080/00207390310001615543.
11.   Comenetz J. (2002) Cognitive Geometry for Cartography. Cartographic Journal, no. 39 (1), pp. 65-75. DOI: 10.1179/000870402787288090.
12.   Jameson F. (1988) Cognitive Mapping. Marxism and the interpretation of culture. University of Illinois Press, Urbana and Chicago, pp. 347-358.
13.   Jokić D. (2019) Matematički aspekti u kartografiji. Novi Sad: Univerzitet u Novom Sadu, Prirodno-Matematički fakultet, Departman za matematiku i informatiku. 67 p.
14.   Penrose R. (2004) The Road to reality: A complete guide to the laws of the Universe. Jonathan Cape, London, 1094 p.
Citation:
Cherkashin A.K., 
(2020) Geocartographic thinking in modern science. Geodesy and cartography = Geodezia i Kartografia, 81(7), pp. 27-36. (In Russian). DOI: 10.22389/0016-7126-2020-961-7-27-36
Publication History
Received: 15.01.2020
Accepted: 03.06.2020
Published: 20.08.2020

Content

2020 July DOI:
10.22389/0016-7126-2020-961-7

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