Mathematics as a Part of Culture

From the interdisciplinary positions, the article examines the program of culture building developed by W.F. Ostwald, an outstanding chemist and philosopher. In that context, it considers the development of mathematical arts in the cultural system. Based on the given analysis, the authors offer their opinion on that what should be changed in the approach to mathematics and mathematical education in Russia.

Ostwald’s program, interdisciplinary approach, natural-science culture, mathematical arts, harmony, scientific tradition, educational catastrophe, mathematical education

1. Mekhanik A. Ne stanovites’ kakimi-to merzkimi. Ekspert, 2014, no. 34, pp. 18—24.

2. Stepin V.S., Guseinov A.A., Semigin G.Yu. (eds.) Novaya filosofskaya entsiklopediya, in 4 vol. Moscow, Mysl’ Publ., 2010, vol. 2, p. 341.

3. Ostwald W.F. Nauka i kul’tura. Mir kul’tury i kul’turologiya, 2011, vol. 1, pp. 57—61.

4. Rademacher H., Toeplitz O. Chisla i figury. Opyty matematicheskogo myshleniya [Von Zahlen und Figuren: Proben mathematischen Denkens für Liebhaber der Mathematik]. Moscow, Izd-vo LKI, 2007, 264 p.

5. Euclidis, Nachala [Elementa geometriae]. Moscow, Librokom Publ., 2013, 744 p.

6. Dushenko K.V. (ed.) Mysli i izrecheniya drevnikh (s ukazaniem istochnika). Moscow, Eksmo Publ., 2003, p. 334.

7. Malinetskii G.G. Chtob skazku sdelat’ byl’yu… Vysokie tekhnologii — put’ Rossii v budushchee. Moscow, LENAND Publ., 2015, 224 p.

8. Pickover C.A. Velikaya matematika. Ot Pifagora do 57-mernykh ob’ektov. 250 osnovnykh vekh v istorii matematiki [The Math Book: From Pythagoras to the 57th Dimension, 250 Milestones in the History of Mathematics]. Moscow, BINOM, Laboratoriya znanii Publ., 2015, 539 p.

9. Uspenskii V.A. Matematicheskoe i gumanitarnoe. Preodolenie bar’era. Moscow, Moscow Center for Continuous Mathematical Education Publ., 2014, 48 p.

10. Foucault M. Volya k istine: po tu storonu znaniya, vlasti i seksual’nosti. Raboty raznykh let [Le souci de la vérité]. Moscow, Kastal’ Publ., 1996, 448 p.

11. Popper K. Logika nauchnogo issledovaniya [Logik der Forschung]. Moscow, AST, Astrel’ Publ., 2010, 576 p.

12. Kats E.A. Fullereny, uglerodnye trubki i nanoklastery. Rodoslovnaya form i idei. Moscow, LKI Publ., 2008, 296 p.

13. Snow C.P. Portrety i razmyshleniya. Moscow, Progress Publ., 1985, pp. 195—226.

14. Haken H. Sinergetika [Synergetik, eine Einführung]. Moscow, Mir Publ., 1980. 406 p.

15. Zhuravleva Z. (ed.). Mne nuzhno byt’. Pamyati Sergeya Pavlovicha Kurdyumova. Moscow, KRASAND Publ., 2010, 480 p.

16. Malinetskii G.G. Obraz uchitelya. Desyat’ let spustya [Image of the teacher. Ten years afterward], Preprinty IPM im. M.V. Keldysha [Keldysh Instutute Preprints], 2015, no. 60, 32 p.

17. Gumilev L.N., Ermolaev V.Yu. Problema predskazuemosti v izuchenii protsessov etnogeneza, Predely predskazuemosti. Moscow, TsentrKom Publ., 1997, pp. 236—247.

18. Lotman Yu.M. Chemu uchatsya lyudi. Stat’i i zametki. Moscow, Margarita Rudomino All-Russia State Library for Foreign Literature Publ., 2010, 416 p.