I take the phrase ''the theory of nonlinear oscillations'' to identify a historical phenomenon. Under this heading a powerful school in Soviet science, L. I. Mandelstam's school, developed its version of what was later called ''nonlinear dynamics''. The theory of nonlinear oscillations was formed around the concept of self-oscillations, which was elaborated by Mandelstam's graduate student A. A. Andronov. This concept determined the paradigm of the theory of nonlinear oscillations as well as its ideology, that is, a set of characteristic (...) ideas which, together with the corresponding examples and analogues, allowed the expansion of the theory into associated areas where it indicated new interesting phenomena and posed new problems. It was the ideology that made possible the broader application of the theory of nonlinear oscillations, whose domain was originally lumped systems, to continuous media and its subsequent progress toward synergetics. In the course of its ideological application, the concept of self-oscillations was greatly extended, became vague and diffuse, and related concepts such as self-waves and self-structures appeared. (shrink)

L.I. Mandelstam, the outstanding Soviet physicist, leader of a prominent and productive scientific community, was educated as a physicist and started as a researcher and an university teacher at Strasbourg University. We consider the intellectual influence of the main currents in contemporary German science on Mandelstam's work in science.

This biography of the famous Soviet physicist Leonid Isaakovich Mandelstam (1889-1944), who became a Professor at Moscow State University in 1925, describes his contributions to both physics and technology, as well as discussing the scientific community which formed around him, usually called the Mandelstam school. Mandelstam's life story is thereby placed in its proper cultural context. The following more general issues are taken under consideration: the impact of German scientific culture on Russian science; the problems and fates of Russian intellectuals (...) during the revolutionary and post-revolutionary years; the formation of the Soviet Academy of Sciences; and transformation of the system of higher education in the USSR during the 1920's and 1930's.The author shows that Mandelstam's fundamental writings and his lectures notes allow to reconstruct his philosophy of science and his approach to the social and ethical functions of science and science education. That reconstruction is enhanced through extensive use of hitherto unpublished archival material as well as the transcripts of personal interviews conducted by the author. (shrink)

This biography of the famous Soviet physicist Leonid Isaakovich Mandelstam (1889-1944), who became a Professor at Moscow State University in 1925, describes his contributions to both physics and technology, as well as discussing the scientific community which formed around him, usually called the Mandelstam school. Mandelstam's life story is thereby placed in its proper cultural context. The following more general issues are taken under consideration: the impact of German scientific culture on Russian science; the problems and fates of Russian intellectuals (...) during the revolutionary and post-revolutionary years; the formation of the Soviet Academy of Sciences; and transformation of the system of higher education in the USSR during the 1920's and 1930's.The author shows that Mandelstam's fundamental writings and his lectures notes allow to reconstruct his philosophy of science and his approach to the social and ethical functions of science and science education. That reconstruction is enhanced through extensive use of hitherto unpublished archival material as well as the transcripts of personal interviews conducted by the author. (shrink)

The Belousov-Zhabotinsky reaction is a far-from-equilibrium reaction involving bromine and citric acid that results in the establishment of a nonlinear chemical oscillator. In addition to providing a paradigmatic chemical model of nonequilibrium biological phenomena, the mathematical models of the BZ reaction are theoretically interesting. The present article concentrates on the personal trajectory of Boris Pavlovich Belousov ; it attempts to explain what, in his routine work in applied and industrial chemistry, could have induced his discovery. The second section describes Belousov’s (...) reaction as presented in his short paper in the proceedings of the institute where he was employed , this being the only paper on his reaction that he was able to publish during his lifetime. The third section presents Belousov’s biography. I then discuss Belousov’s biography in the light of the paper representing his reaction. I have tried to find the prerequisites of Belousov’s discovery in his research in analytical chemistry and in toxicology and radiation medicine . The sixth section attempts an explanation of the ideological underpinning of Belousov’s reaction—the dialectics of continuity and discontinuity popular among Soviet scholars at that time. (shrink)

A new interpretation of quantum mechanics, the interpretation which became popular in XXI, has been taken under consideration. This is the quantum baysinism (QBism) which may be taken as an extrapolation of the baysian philosophy of probability over the interpretation of quantum mechanics. The baysian philosophy of quantum mechanics has been compared with the Copenhagen interpretation of quantum mechanics, the interpretation which can been treated as standard as it is represented in the main textbooks. In contrast to the Copenhagen interpretation (...) which proceeds from the triplets – nature, apparatus and observer (agent), QBism emphasizes the conscious of the observer: the quantum state is the observer’s state, and by means of the quantum conceptual technique the observer constructs his/her own image of quantum processes. By means of measurement the observer updates his/her quantum state, the measuring apparatus being an extension of the observer’s sensuality. From the point of the QBism’s view the phenomenon of decoherence which is widely discussed in the contemporary literature is not essential for the theory of measurement in quantum mechanics. The decoherence explains why the macroscopic phenomena don’t expose the interference behavior which is characteristic for quantum superposition. From the historicо-philosophical point of view Qbism can be traced back to American instrumentalism and operationalism. (shrink)

In the Soviet scientific literature of 1920‒30 the concept of probability was holly debated. The frequency concept which was proposed by R. von Mises became popular among Soviet physicists belonging to the L.I. Mandelstam community. Landau and Lifshitz were also close to this concept in their famous course of theoretical physics. A.Khinchin, a mathematician who cooperated with Kolmogorov, opposed to the frequency conception. In this paper we try to demonstrate that the frequency position was connected with the anthropomorphous approach to (...) physics, whereas Khinchin’s positions implied the criticism of anthropomorphism and put forward the ideal of objective knowledge. (shrink)

The article takes under consideration three versions of the ensemble interpretation of quantum mechanics and discusses the interconnection of these interpretations with the philosophy of science. To emphasize the specifics of the problem of interpretation of quantum mechanics in the USSR, the Marxist ideology is taken into account. The present paper continues the author’s previous analysis of ensemble interpretations which emerged in the USA and USSR in the first half of the 20th century. The author emphasizes that the ensemble approach (...) turned out to be a dead end for the development of the interpretation of quantum mechanics in Russia. The article also argues that in Soviet Russia, the classical Copenhagen approach to quantum mechanics was used. The Copenhagen approach was developed by Lev Landau in 1919–1931 and became the basis of the Landau-Lifshitz famous course on quantum mechanics, one of the classics of twentieth-century physics literature. Although Vladimir A. Fock’s approach to the interpretation of quantum mechanics differs from the standard presentation by Lev Landau and Evgeny Lifshitz, Fock put forward a very important principle that complementarity is a “firmly established law of nature”. The fundamental writings of Lev Landau, Vladimir Fock and Igor Tamm, the authors of the mid-twentieth century, did a lot to defend the standard point of view such as the popular interpretations by Landau and Lifshitz. This approach can be traced back to Landau’s early writings and to Fock’s criticism of the ensemble approach. (shrink)

Mandelstam’s criticism of the Rayleigh theory of the blue color of the sky (1907) and his polemic with M. Planck (1907–1908) did not become notable events in the history of physics. However, the method of their coverage in the Soviet and in the post-Soviet physics literature is remarkable. Most of Soviet physicists and historians of physics supported Mandelstam's point of view in his criticism of both Raleigh and Planck. The situation changed only at the beginning of the 21st century: in (...) the Russian literature the publications appeared emphasizing that in the Raleigh–Mandelstam and Planck–Mandelstam controversies Mandelstam was not right, Raleigh and Planck were closer to the truth. Which presumptions of this trend can be noted? This was patriotism of the scientific school peculiar to Mandelstam’s graduate students and the former graduate students, the patriotism connected with solidarity which helped Mandelstam’s community to survive in the Soviet totalitarian regime and in the totalitarian organization of science. This was also progressionism which was popular among academics and among men in the street. The phenomenon of common knowledge, mutual knowledge among the members of a scientific community should be taken under consideration. Common knowledge is connected with the non-thematized anonymous inclusion of the ideological terminology into scientific discourse. (shrink)