Within the framework of the Kershaw approach and of a hypothesis on spatial stochasticity, the relativistic equations of Lehr and Park, Guerra and Ruggiero, and Vigier for stochastic Nelson mechanics are obtained. In our model there is another set of equations of the hydrodynamical type for the drift velocityv i(x j,t) and stochastic velocityu i(x j,t) of a particle. Taking into account quadratic terms in l, the universal length, we obtain from these equations the Sivashinsky equations forv i(x j,t) in (...) the caseu i →0. In the limit l →0, these equations acquire the Newtonian form. (shrink)

Collection of Buddhist philosophical texts written by Mongolian monks and scholars.

Particle motion in stochastic space, i.e., space whose coordinates consist of small, regular stochastic parts, is considered. A free particle in this space resembles a Brownian particle the motion of which is characterized by a dispersionD dependent on the universal length l. It is shown that in the first approximation in the parameter l the particle motion in an external force field is described by equations coincident in form with equations of stochastic mechanics due to Nelson, Kershow, and de la (...) Pena-Auerbach. A method is proposed for the relativization of the scheme used to describe the processes in the stochastic space; by using this method, the equations of particle motion can be written in a covariant form. (shrink)

في كتابه من نقد العقل إلى هيرمينوطيقا الرموز: بحث في فلسفة الثقافة عند إرنست كاسيرر، الصادر عن المركز العربي للأبحاث ودراسة السياسات، يحاول فؤاد مخوخ التركيز على فلسفة كاسيرر، ساعيًا لإثبات أصالتها وجِدَّتِها في مجال نقد الثقافة. فـ "قراءة كاسيرر فلسفة كانط"، كما يقول مخوخ، "متميزة وأصيلة، ويتجلى ذلك في مشروع تطوير نقد العقل وتمديده إلى نقد الثقافة الذي تجسد في فلسفة الأشكال الرمزية باعتبارها فلسفةً للثقافة، وتقعيدًا نظريًا لإبيستمولوجيا علوم الثقافة، وهيرمينوطيقا لتأويل عالَم الإنسان وفهمه".

There is no unique way to generalize the mass operator 0 2 −p · p to curved spacetimes. The possible generalizations using either an analytic or an algebraic (group-theoretic) approach are discussed. We investigate in detail three possibilities: (i) the generalized D'Alembertian $$- \tilde \square = - (1/\sqrt { - g} )(\partial /\partial x^v )(\sqrt { - g} g^{\mu v} {\text{ }}\partial /\partial x^\mu$$ (ii) the operator ( $- (\tilde \square + \tfrac{1}{6}{\text{R)}}$ , which is conformally invariant in the massless (...) case, and (iii) an operator suggested by Meggs for Robertson-Walker spacetimes. A criterion for choosing among the different possibilities is proposed. It is used to eliminate the Meggs operator, but is not stringent enough to decide between the other two. (shrink)

For a sufficiently large class of formal systems a duality theorem is proved. We consider such formal set theories $\widetilde{\scr{T}}$ [2] which, at least, satisfy the following conditions: 1. The theory $\widetilde{\scr{T}}$ contains its own (either bounded or introduced by a definition) substantive constant U, for which $\vdash \forall x[x\in U]$ or $\vdash \forall x[x\subset U]$ . 2. The operation of "complement", denoted by C, is defined with respect to U. 3. For any formula (resp. a term), A ⊦ A (...) ↔ ⅂⅂ A (resp. ⊦ CCA = A), and some basic conclusions follow. (shrink)

In the article the issue of singling out some systemic criteria of differentiation between the fundamental and applied terminologies is considered. The authors point at the fact that each terminology has its own individual peculiarities, which mark it out against a general background of the terminological fund of a certain language. It is asserted that one of the most important and effective criteria that can be the basis of the approach to the study of sublanguages for special purposes is a (...) fundamental or applied character of the sphere of professional or scientific knowledge verbalized by a certain terminology. Such terms, as ‘fundamental terminology‘, ‘applied terminology‘ and ‘terminology of transition type‘, are introduced for scientific use. The fundamental terminology is understood as a sublanguage for special purposes that verbalizes the notions, forming the totality of fundamental knowledge, serving for the description of phenomena and processes in reality and in science, in the framework of which the fundamental research is carried out. The applied terminology is the name for the sublanguage for special purposes representing the notions, in which the results of human being’s practical scientific-industrial activity for changing the reality, forming the artificial habitat, are conceptualized. The terminology of transition type is the terminology that verbalizes the fragments of the field of scientific knowledge in which the research can have both a fundamental and applied character. The authors come to the conclusion that pure applied or fundamental terminologies are quite rare, that it is rational to speak about the degree of manifestation of the applied or fundamental character within the limits of this or that terminological system. (shrink)

This study examines the Foucauldian notion of “parrhesia” within the context of curricular practices through a renewal of scholarly interest in Islamic metaphysics as represented by the Avicennean modalities of reality: necessity, contingency, and possibility. It explores the role of contingency in advancing educational practices that generate inclusive dissemination of knowledge that captures the language of Tajdeed (legitimate renovation) in Islamic education. This article argues that contingency, as a causality-oriented modality, determines whether meaning is relative or absolute, while necessity, as (...) an acknowledgment of universal truth, slips into demagoguery that can be used to canonize strict textualism and absolutism. Contingency is defined here as a practice that stimulates synthesis and dialogical understanding of knowledge. Accordingly, the study asks the following questions: How does infusing the Avicennean concept of contingency into curriculum practices offer opportunities for inclusivity and free speech? How can revisiting Islamic cosmological modalities help Muslim educators and curriculum writers move into the broader path of inclusive pedagogies? From an educational position, the article introduces a curriculum of metaphysics that advocates the implementation of contingency, which is considered essential to parrhesia and democracy. It also draws attention to an anti-metaphysical attitude that is generally present in curriculum theorizing. Accordingly, Metaphysics is invoked to challenge a state of flux or hegemonized assumptions; hence, metaphysics validates parrhesia. (shrink)

In this paper, the authors have detected a new effect in the area of geomagnetism, related to the behavior of a magnetic dipole freely floating on water surface. An experiment is described in the present paper in which a magnetic dipole fixed upon a float placed on non- magnetized water surface undergoes displacement along with reorientation caused by fine structure of the earth's magnetic field. This fact can probably be explained by secular decrease of the earth's major dipole moment. Further, (...) a detailed study of the phenomenon may create interesting premises for its practical use, particularly for the analysis of fine structure of geomagnetic field and its time-dependent anomalies. A strange behavior of some sea fish species prior to strong earthquakes may be explained if the fish are assumed as 'live magnetic dipoles'. (shrink)

Any attempt to find one's way in the intricacies of contemporary international life, particularly in such a complex problem as that of war and peace, requires, above all, deciphering the basic notions by means of which the essence of the dominant processes in the world arena is more or less adequately expressed. Today these are, above all, peaceful coexistence, the "cold war," and relaxation of international tensions [detente - Translator].

razdel I. Istoriko-filosofskie issledovanii︠a︡ -- razdel II. Filosofskie i sot︠s︡ialʹno-politicheskie problemy -- razdel III. Istorii︠a︡ v lit︠s︡akh.