The paper examines the conventionalism that arose within the framework of the second positivism in European philosophy at the turn of the XIX–XX centuries, in connection with Russian science and philosophy. Despite its being popular and developed mainly in Western philosophy, we demonstrate that its ideas were also reflected in Russian culture. Moreover, we argue that it was the achievements of Russian mathematicians that influenced the emergence of this direction in European philosophy. To determine the place of conventionalism in Russian culture, the works of such scientists, philosophers and historians of science as A. Poincaré, N.V. Efimov, G.V. Florovsky, P.S. Yushkevich and others were used. The article also provides an overview of their main works and ideas. The analysis also deals with the influence of ideological and political factors on the development of philosophy in the XX century in Russia and the USSR. It is shown that the achievements of Russian mathematicians had a significant influence on the emergence of conventionalism, and the ideas of conventionalism, in turn, were reflected in the concepts of Russian thinkers concerning the philosophy of science and the philosophy of history. Thus, N.I. Lobachevsky can be called a harbinger of mathematical conventionalism, some ideas of P.S. Yushkevich and A.A. Bogdanov can be referred to natural-scientific conventionalism, and some ideas of G.V. Florovsky can be called historical conventionalism. We conclude that Russian science, firstly, was one of the reasons for the emergence of conventionalism in Europe, and secondly, Russian philosophy adopted and applied some of its ideas, in particular, concerning the impossibility of complete knowledge of the world or the relativity of ways of expressing truth, which remain relevant today.
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