Geodesic
Metaphysics of the Moscow mathematical school on the border of XIX--XX centuries
Čebyševskij sbornik, Tome 21 (2020) no. 4, pp. 340-353

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The work deals with the topic of the formation of religious views among representatives of the Moscow Mathematical School at the turn of the 19th - 20th centuries and the influence of the world outlook on their scientific creativity. The main core of this group of scientists included N.D. Brashman, N.V. Bugaev, P.A. Nekrasov, D.F. Yegorov, N.N. Luzin, P.A. Florensky. The general tendency can be distinguished in the evolution of ideas of Moscow mathematicians-thinkers of the 19th — early 20th centuries: they went all the way from Mathematics to Philosophy and came back again to Mathematics. Moscow mathematical society (N.D. Brashman, N.V. Bugaev etc.) cultivated Moscow Philosophical and Mathematical School (N.V. Bugaev, P.A. Nekrasov, P.A. Florensky etc.) and the latter one gave an impulse to creating Moscow School of Function Theory (D.F. Yegorov, N.N. Luzin etc.). The work reveals philosophic sources of forming Moscow Mathematical School for the first time. Philosophic preferences of representatives of this school are close to Slavophilism (negative attitude to the development of Russia according to the Western patterns, the doctrine of spirit integrity (which denies cognition only through reason or through senses not including spirit); the doctrine of collegiality as obtaining freedom through the dissolution of the individual in the church, society, state; Orthodox worldview; love to Motherland). These ideas also influenced the nature of the mathematical creative work of Moscow mathematicians. It got some specific features : 1) collective character, generating new directions in science and a strong wish to share them with other scientists; 2) concentration on seeking general methods and regularities; 3) a tendency to contemplation, a preference for theoretical research over practical (the sphere of scientific interests included number theory, set theory, function theory etc.)
Keywords: Moscow mathematical school, metaphysics of the history of mathematics. 
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     title = {Metaphysics of the {Moscow} mathematical school on the border of {XIX--XX} centuries},
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R. A. Melnikov; O. A. Savvina. Metaphysics of the Moscow mathematical school on the border of XIX--XX centuries. Čebyševskij sbornik, Tome 21 (2020) no. 4, pp. 340-353. http://geodesic.mathdoc.fr/item/CHEB_2020_21_4_a28/