Axiomatizing Origami Planes
Article contains analysis of the decisions of the European Court of Human Rights on freedom of expression, in which the Court had to balance public interest against the protection of commercial structures from unfair competition or injury to their business reputation.
The paper treats the issue of identity of the ego, which constitutes the central problem of personology. The skeptical approach to this problem, which sees it as not being subject to be resolved by means of science, began with D. Hume's work. Contemporary personologists (P. Ricoeur and others) approach this problem through study of culture, which imparts the ego with «narrative identity». Cultural historic psychology is a «Bridge of interpretations», upon which philosophy of culture meets psychology, and psychological data associated with «personality» are interpreted on the basis of some specific cultural philosophic theory. The «conflict of interpretations» plays and essential role in personology, which participates in the processes of emergence and overcoming of the cultural crisis. Philosophical and methodological problems that define the near term perspective development of personology are formulated: whether there are any «ego invariants» that remain regardless of any possible cultural determination; whether the ego possesses any rigidity in relation to cultural determination and, if it does, what is the nature of this rigidity; whether ego identity is destroyed when cultural determination diminishes or ceases, etc.
One of the rusian chroniclers has compared the expulsion of Izyaslav Yaroslavich with the capture of “land of Seth” by Canaanites. The sense of wording “land of Seth” remains not clear to modern interpretators; an amendment “land of Shem” is often proposed. Hovewer, in several medieval historical writings (Book of Josippon, Chronicle of George Hamartolos) Seth is a notable figure well known due to his knowledge of alphabet and astronomy. Even more, according to Joseph Flavius’ “Antiquites of the Jews” and The Revelation of Methodius of Patara, Seth descendants lived compactly in an area which in consequence could be called “land of Seth”. Thus, it is possible that rusian chronicle deliberately used the expression “land of Seth” to metaphorically denote Palestine.
The student's book "Interpretation. Economics and Business" is designed for teaching a course of interpretation at translation faculties, departments and courses. The exercises included in the book intend to develop skills of consequitive and simultaneous interpretation. The book's material is tested on the 2nd year students of the programme "Interpreter in Professional Communication" in Moscow Business School MIRBIS.
In the book the issues of translation and interpretation are discussed by the worldwide leading scholars involved into translation.
The article deals with the interpretation of Faust in B. Purishev's works, titanism and inconsistency in his interpretation of the eternal image is highlighted.
For the first time in the national historical science a comprehensive analysis of modern Japanese historiography problems of territorial delimitation between Russia and Japan was made, which is extremely important in terms of understanding the ways and results of development of bilateral relations in the near and medium term. The book highlighted the direction of the Japanese historiography of territorial demarcation, given their characteristics and evaluation; the author carries out a comparative analysis of approaches to the assessment of Japanese historians documented legal aspects of Soviet-Japanese territorial demarcation. This exact book will be of practical and scientific interest for a wide range of political scientists, orientalists, historians, students and general public.
Max Weber. Basic concepts of sociology. Unabridged translation.
A model for organizing cargo transportation between two node stations connected by a railway line which contains a certain number of intermediate stations is considered. The movement of cargo is in one direction. Such a situation may occur, for example, if one of the node stations is located in a region which produce raw material for manufacturing industry located in another region, and there is another node station. The organization of freight traﬃc is performed by means of a number of technologies. These technologies determine the rules for taking on cargo at the initial node station, the rules of interaction between neighboring stations, as well as the rule of distribution of cargo to the ﬁnal node stations. The process of cargo transportation is followed by the set rule of control. For such a model, one must determine possible modes of cargo transportation and describe their properties. This model is described by a ﬁnite-dimensional system of diﬀerential equations with nonlocal linear restrictions. The class of the solution satisfying nonlocal linear restrictions is extremely narrow. It results in the need for the “correct” extension of solutions of a system of diﬀerential equations to a class of quasi-solutions having the distinctive feature of gaps in a countable number of points. It was possible numerically using the Runge–Kutta method of the fourth order to build these quasi-solutions and determine their rate of growth. Let us note that in the technical plan the main complexity consisted in obtaining quasi-solutions satisfying the nonlocal linear restrictions. Furthermore, we investigated the dependence of quasi-solutions and, in particular, sizes of gaps (jumps) of solutions on a number of parameters of the model characterizing a rule of control, technologies for transportation of cargo and intensity of giving of cargo on a node station.
Let k be a field of characteristic zero, let G be a connected reductive algebraic group over k and let g be its Lie algebra. Let k(G), respectively, k(g), be the field of k- rational functions on G, respectively, g. The conjugation action of G on itself induces the adjoint action of G on g. We investigate the question whether or not the field extensions k(G)/k(G)^G and k(g)/k(g)^G are purely transcendental. We show that the answer is the same for k(G)/k(G)^G and k(g)/k(g)^G, and reduce the problem to the case where G is simple. For simple groups we show that the answer is positive if G is split of type A_n or C_n, and negative for groups of other types, except possibly G_2. A key ingredient in the proof of the negative result is a recent formula for the unramified Brauer group of a homogeneous space with connected stabilizers. As a byproduct of our investigation we give an affirmative answer to a question of Grothendieck about the existence of a rational section of the categorical quotient morphism for the conjugating action of G on itself.
Let G be a connected semisimple algebraic group over an algebraically closed field k. In 1965 Steinberg proved that if G is simply connected, then in G there exists a closed irreducible cross-section of the set of closures of regular conjugacy classes. We prove that in arbitrary G such a cross-section exists if and only if the universal covering isogeny Ĝ → G is bijective; this answers Grothendieck's question cited in the epigraph. In particular, for char k = 0, the converse to Steinberg's theorem holds. The existence of a cross-section in G implies, at least for char k = 0, that the algebra k[G]G of class functions on G is generated by rk G elements. We describe, for arbitrary G, a minimal generating set of k[G]G and that of the representation ring of G and answer two Grothendieck's questions on constructing generating sets of k[G]G. We prove the existence of a rational (i.e., local) section of the quotient morphism for arbitrary G and the existence of a rational cross-section in G (for char k = 0, this has been proved earlier); this answers the other question cited in the epigraph. We also prove that the existence of a rational section is equivalent to the existence of a rational W-equivariant map T- - - >G/T where T is a maximal torus of G and W the Weyl group.