There exist two known types of ultrafilter extensions of first-order models, both in a certain sense canonical. One of them comes from modal logic and universal algebra, and in fact goes back to Jónsson and Tarski :891–939, 1951; 74:127–162, 1952). Another one The infinity project proceeding, Barcelona, 2012) comes from model theory and algebra of ultrafilters, with ultrafilter extensions of semigroups as its main precursor. By a classical fact of general topology, the space of ultrafilters over a discrete space is (...) its largest compactification. The main result of Saveliev The infinity project proceeding, Barcelona, 2012), which confirms a canonicity of this extension, generalizes this fact to discrete spaces endowed with an arbitrary first-order structure. An analogous result for the former type of ultrafilter extensions was obtained in Saveliev. Results of such kind are referred to as extension theorems. After a brief introduction, we offer a uniform approach to both types of extensions based on the idea to extend the extension procedure itself. We propose a generalization of the standard concept of first-order interpretations in which functional and relational symbols are interpreted rather by ultrafilters over sets of functions and relations than by functions and relations themselves, and define ultrafilter models with an appropriate semantics for them. We provide two specific operations which turn ultrafilter models into ordinary models, establish necessary and sufficient conditions under which the latter are the two canonical ultrafilter extensions of some ordinary models, and obtain a topological characterization of ultrafilter models. We generalize a restricted version of the extension theorem to ultrafilter models. To formulate the full version, we propose a wider concept of ultrafilter models with their semantics based on limits of ultrafilters, and show that the former concept can be identified, in a certain way, with a particular case of the latter; moreover, the new concept absorbs the ordinary concept of models. We provide two more specific operations which turn ultrafilter models in the narrow sense into ones in the wide sense, and establish necessary and sufficient conditions under which ultrafilter models in the wide sense are the images of ones in the narrow sense under these operations, and also are two canonical ultrafilter extensions of some ordinary models. Finally, we establish three full versions of the extension theorem for ultrafilter models in the wide sense. The results of the first three sections of this paper were partially announced in Poliakov and Saveliev On two concepts of ultrafilter extensions of first-order models and their generalizations, Springer, Berlin, 2017). (shrink)

The tolerance which the Islamic tradition showed—not in theory alone but in practice as well—toward the infidels, the “protected” (dhimmi) Jews and Christians, is well known. In several places in the Koran, Mohammed proclaimed the inalienable right of these two “Peoples of Scripture” to worship the common God of Abraham in their very imperfect fashion. The passages in question ordinarily mentioned Christians and fetus, and the imprecations which in another context (in the “Sura of the Cow,” for example) the Prophet (...) hurled against the Jews of Medina who would not recognize him, in no way altered the cardinal principle developed later by the commentators in the hadith (“tradition”). The two categories of dhimmi were placed under the same legal and political control. In conformity with the “pact” of Caliph Omar (the second successor to Mohammed) the dhimmis had to recognize Moslem supremacy, lavish many signs of subordination and respect upon the true believers, behave as loyal subjects, and above all, pay tribute. By this means the free exercise of their cult under the protection of Islam was assured. (shrink)

In this research, author analyzes and interprets data of sociological researches of the Razumkov Centre concerning the religious self-identification of Ukrainian citizens, their attitude towards the Church in general and towards the denominations and religions presented in Ukraine in the dynamics from the year 2000 to nowadays. The author also considers external and internal outlook trends and shows a dangerous contradiction between them. As an alternative to solve this conflict, the author suggests the idea of Open Orthodoxy and presents an (...) example of its implementation in projects of the Open Orthodox University of Saint Sophia the Wisdom. (shrink)

Konstantin Leont'ev is one of those Russian thinkers about whom much has been said and written both in Russia and abroad. Interest in his works has increased steadily in the past five years: collections of his works are being published, special conferences are being held, and articles and monographs are being written. In the process it turns out that a thinker who died a hundred years ago is perceived in Russia as "our contemporary," as a clairvoyant and a prophet, but (...) also in large measure as a teacher to whom many are inclined to turn in their searches for intellectual world-view and ideological orientations. (shrink)

We are now, after some delay, beginning actively to discuss a theme—or is it still a problem?—that has become traditional for Western sociology and political science—namely, totalitarianism. If we start from the firmly established view that construes totalitarianism as a social structure in which the state devours and exercises maximum control over all spheres of the social life of individuals, i.e., a structure based on maximum coercion , we can, it would seem, simply make concrete extrapolations of the existing theoretical (...) model to the countries and regions we have chosen to study. But it seems to me that there are still a number of not fully worked out aspects in the methodology employed to study totalitarianism, and in applied studies this leads either to a pan-totalitarian view of history or to the localization of totalitarianism in a few countries . I think that this situation cannot be "harmonized" in the traditional manner by distinguishing between a "broad" and a "narrow" meaning of the term ‘totalitarianism.’ Hence, rather than trying to "not notice" the methodological problem, I propose dealing with it in all theoretical seriousness. (shrink)

The subject of this research is the period of Russian symphonic music of the 1960s. A new generation of composers – the “Sixtiers” – introduced a fresh modern musical language and remarkable artistic achievements. In first part of the article, the author dwell on several fundamental symphonic works by R. Shchedrin, S. Slonimsky, E. Denisov, Y. Falik, N. Karetnikov, as well gives general characteristics to this period. The second part of the article examines the compositions by A. Schnittke and L. (...) Prigozhin. Special attention is turned to the Symphony No.3 by Boris Tishchenko, who opens new stylistic horizons and encompasses the key trends of modern music, including the avant-garde, into his stylistic orbit. This article is first to consider B. Tishchenko's outstanding Symphony No.3 in the context of stylistic and linguistic innovations of the 1960s, which defines the scientific novelty. Analysis is conducted on the role and place of the youngest composer of the “Sixtiers” B. Tishchenko in the struggle for the “new music”. The conclusion is made that Tishchenko was one of the leaders in revival of the Russian music of the late XX century, and his Symphony No.3 reflects the pursuits of the postwar generation of Soviet composers to the fullest. (shrink)

The subject of this research is the period of Soviet music in the 1960s. A new generation of the composers – the “Sixtiers” – came upon the stage, demonstrating remarkable artistic achievements, fresh and modern musical language. This article is dedicated to the symphonic work of the prominent Russian composer of the late XX century Boris Ivanovich Tishchenko. Particular attention is given to the Symphony No.1, which he created at the age of 22. Tishchenko burst into the Soviet musical space (...) with creative fervor, and asserted himself as a tremendous and unique talent. His extemporaneous music pieces kept pace with the time, in unison with the global changes that took place in Russian symphonism. The scientific novelty lies in consideration of B. Tishchenko’s Symphony No.1 in context of stylistic and linguistic innovations of the 1960s. Detailed analysis is conducted on the role and place of Tishchenko — the youngest of the generation of “Sixtiers” – in the struggle for "new music". The main conclusion lies in the thought that Tishchenko was one of the leaders in the renewal of Russian music in the late XX century, and Symphony No.1 of his early period fully reflected the intense pursuits of the post-war generation of the Soviet composers and opened the path towards the "new shores" in symphonic music of that time. (shrink)

Iurii Kovalenko.Orthodox theological understanding of church-state relations in Ukraine at the time of development of Media and Information Technology. The author, who for many years was the press-secretary to the Primate of the Ukrainian Orthodox Church, considers continuity UOC position on the principles of church-state relations and their genesis in accordance with the socio-political processes taking place in Ukraine, the development of media and information technology.

In the resolution of the Central Committee of the CPSU entitled "On the Periodical Kommunist," the study of the dialectics of the forces and relations of production is assigned to the sphere of economics. It is no accident that the question is posed in this way. Today, under conditions of restructuring, a concrete analysis of the economic connections, contradictions, and interactions of socialist society and of the real forms of manifestation of economic relations is more important than ever. The [current] (...) criticism of erroneous views, widespread in their time, about the exceptional character of the economic system of socialism that made it possible to "constitute" productive relations through the "creative force of the economic plan," is especially timely and substantive. However, a more general sociophilosophical study of the dialectics of the forces and relations of production is also necessary. Lenin's words have never lost their vital force: we cannot take up "particular questions without first solving the general question. …"' It is from these general sociophilosophical positions that we shall be examining some aspects of this topic that we think important. (shrink)

L'Auteur dégage et expose d'abord le modèle explicite proposé par Hobbes pour l'analyse des phénomènes sémioti- que, puis le contexte dans lequel ce modèle est élaboré, tout en montrant en quoi cette analyse peut encore intéresser les philosophes du langage contemporains. Il met ensuite en évi- dence les diverses perspectives empruntées par Hobbes dans son analyse, formule les principes sur lesquels elles reposent et décèle les problèmes de cohérence qui en résultent. Il propose enfin une interprétation qui permet de lever (...) certaines contradictions apparentes rencontrées dans l'analyse du mo- dèle proposé par Hobbes en réexaminant le contexte initial de cette analyse et les catégories ontologiques fondamentales qu'elle met en cause.The Author extricates and exposes at first the explicit model proposed by Hobbes to analyse semiotical phenomena, and the context in which this model is developped, showing by the way how this model, in many respects, might still be interesting for contemporary philosophers of language. Then, he reconstructs the approaches adopted by Hobbes, formulates the basic principles on which they rest, and identifies some problems of coherence resulting from the whole approach. He proposes, at last, an interpretation which enables us to solve some apparent contradictions met in the analysis of the model proposed by Hobbes by exploring anew the initial context of this model and the basic ontological categories which are implicated in Hobbes' semiotical analysis. (shrink)

The subject of the study is the period of Russian symphonic music of the 1960s. A new generation of "sixties" composers has entered the Soviet music scene, imperiously declaring themselves with bright creative achievements, fresh and modern musical language. The epoch of the turning point dictated a new reality, required new artistic thinking, generated diverse creative ideas. The panorama of Russian music was quite colorful, many things in art appeared and disappeared very rapidly, stylistic pluralism, lost at the dawn of (...) Soviet power, returned to the music scene. Special attention is paid to the works of composers of the Leningrad school — S. Slonimsky, Y. Falik, L. Prigozhin and V. Gavrilin. All of them opened new stylistic horizons and absorbed into their sound orbit the main trends of modern music, including the conquests of the Western avant-garde.  The scientific novelty of the work consists in the fact that the author examines the bright and original works of young Leningrad authors in the context of stylistic and linguistic innovations of the 1960s. The article analyzes the role and place of "Sixties" composers in the struggle for "new music". The main conclusion of the article is the idea that the period of musical renewal of the 1960s under consideration turned out to be extremely saturated with the most complex and diverse problems: ideological, general aesthetic, musical style. S. Slonimsky, Y. Falik, L. Prigozhin, V. Gavrilin became undisputed leaders in the renewal of Russian music of the second half of the twentieth century, and their works-"symbols" fully reflected the intense search of the post-war generation of Soviet composers. (shrink)

I FORMS AND PROBLEMS OF CULTURE INTEGRATION AND METHODS OF THEIR STUDY I. Culture Integration And Culture Unity — A Dark Problem Is every culture an ...

The article characterizes the substantial level of sacralization of values in the spiritual culture of the Greater Altai. The main emphasis is placed on identifying the grounds for the sacralization of values. It is established that the world order is one of the bases of sacralization and simultaneously performs the function of consolidating cultural carriers. The key thesis of the research is the thesis that spiritual culture cannot be fully comprehended without reference to sacred values. In addition, the sacralization of (...) values is considered as a condition for ensuring spiritual security and continuity of values and norms between generations of cultural carriers. The assessment of the spiritual potential of the culture of the Greater Altai is of great importance. The main conclusions of the study are the following provisions: 1) the sacralization of key values is carried out at the essential or substantial level, while the stages of sacralization are mainly "tied" to the religious and mythological development of culture and its value-normative system; 2) sacralization encompasses those value structures that acquire importance in human existence and are a factor in the integration of cultural carriers and their generations; 3 sacralization is the process of identifying specific value-semantic structures – they are attributed symbolic meaning, and they are also correlated with certain cultural codes, signs and texts. (shrink)

[1]Aldanov, M. A. [i dr.] Religīoznyi︠a︡ i obshchestvennyi︠a︡ iskanīi︠a︡.--[2]Melgunov, S. P. N. V. Chaĭkovskīĭ v gody grazhdanskoĭ voĭny.

V glavakh kollektivnoi| monografii predstavleny kont︠s︡eptualʹnye razrabotki problem, znachimykh dli︠a︡ filosofii nachala novogo stoletii︠a︡. Ėtot krug problem okhvatyvaet vse oblasti sovremennoi| filosofii--ot ontologii i filosofii nauki do filosofii logiki i politiki. Sovremennye ot︠s︡enki i razvitie poluchai︠u︡t idei analiticheskoi| filosofii, ėkzistent︠s︡ializma, fenomenologii, strukturalizma s ikh orientat︠s︡iei| na prikladnye sfery. Kniga adresovana kak spet︠s︡ialistam, tak i vsem tem, kto proi︠a︡vli︠a︡et interes k sostoi︠a︡nii︠u︡ i problematike sovremennoi| otechestvennoĭ filosofii.