We prove, in ZFC,the existence of a definable, countably saturated elementary extension of the reals.

It is true in the Cohen, Solovay-random, dominaning, and Sacks generic extension, that every countable ordinal-definable set of reals belongs to the ground universe. It is true in the Solovay collapse model that every non-empty OD countable set of sets of reals consists of \ elements.

El presente artículo es el resultado de un proceso de investigación originado en la Maestría en Publicidad de la UTL, en la línea de Semiótica Publicitaria, dirigida por el profesor Vladimir Sánchez, quien en su seminario, ha venido construyendo un equipo de trabajo con los maestrantes en torno a la aplicabilidad de algunos de los postulados de la pragmática de Charles Sanders Peirce al campo publicitario. Los maestrantes Jairo Sojo y Juan José Arango, adelantaron algunas hipótesis sobre el trabajo (...) del profesor Sánchez, y, gracias a ello, se propuso a la UJTL y a la Universidad Santo Tomás, un proyecto interinstitucional de investigación titulado “Semiótica, planeación y estrategia publicitaria y de diseño. Proyecciones del Pragmatismo a la comunicación contemporánea”. En el marco de la investigación anteriormente mencionada, surge el artículo que aquí se presenta, como un primer planteamiento de las hipótesis de investigación que dan origen a dicho proceso y que pueden esbozarse en tres grandes aspectos. El primero, unas consideraciones generales sobre el pragmatismo desde una perspectiva publicitaria con énfais en la regla de cualificación planteada por Peirce en 1903. El segundo, la propuesta de un modelo de análisis de piezas publicitarias desde la operacionilización de la regla de cualificación. El tercero una modelación para la planeación de estrategias publicitarias a través de la regla de cualificación aplicada al cruce de los interpretantes ontológicos y los interpretantes modales. (shrink)

The logic of single-conclusion proofs () is introduced. It combines the verification property of proofs with the single valuedness of proof predicate and describes the operations on proofs induced by modus ponens rule and proof checking. It is proved that is decidable, sound and complete with respect to arithmetical proof interpretations based on single-valued proof predicates. The application to arithmetical inference rules specification and -admissibility testing is considered. We show that the provability in gives the complete admissibility test for the (...) rules which can be specified by schemes in -language. The test is supplied with the ground proof extraction algorithm which eliminates the admissible rules from a -proof by utilizing the information from the corresponding -proofs. (shrink)

The Petrine-Pushkinian era lasted no more than two hundred years. It originated at the Battle of Poltava, where Russian troops first showed themselves not just equal to the Swedes, who were otherwi...

We prove that in the Solovay model, every OD equivalence relation, E, over the reals, either admits an OD reduction to the equality relation on the set of all countable (of length $ ) binary sequences, or continuously embeds E 0 , the Vitali equivalence. If E is a Σ 1 1 (resp. Σ 1 2 ) relation then the reduction above can be chosen in the class of all ▵ 1 (resp. ▵ 2 ) functions. The proofs are based (...) on a topology generated by OD sets. (shrink)

In this article we show how the universe of BST, bounded set theory can be enlarged by definable subclasses of sets so that Separation and Replacement are true in the enlargement for all formulas, including those in which the standardness predicate may occur. Thus BST is strong enough to incorporate external sets in the internal universe in a way sufficient to develop topics in nonstandard analysis inaccessible in the framework of a purely internal approach, such as Loeb measures.

During the last millennium the world economic and geopolitical conflicts were to a great extent connected: different crises in the World System's evolution stimulated geopolitical shifts and vice versa. This article argues that in the 15th century different geopolitical events and conflicts in Central Asia initiated the fall of the previous World System and the rise of the new one. This transformation resulted in the fall of overland and river trade routes, including the Great Silk Route, which passed through Central (...) Asia. World trade shifted to sea and ocean routes, and European countries became the center of the new World System. Now, in the beginning of the 21st century a new transformation of the World System is underway. The center of economic and political development is migrating gradually to the East: this is why the geopolitical role of the Central Asian states is increasing. Central Asian states are a very important part of the New Silk Route; this route is to connect Eastern Asia with Europe and the Middle East. The United States, China, Russia, and other states are ardently competing to control the New Silk Route. Hence, different geopolitical, social, and military conflicts are probable in Central Asia. So economic and political integration in Eurasia between Russia, China, the United States and Central Asian states is very important for the geopolitical stabilization of the region. The article evaluates the main scenarios of geopolitical changes in Central Asia. (shrink)

This paper examines the social theory of Lester Frank Ward, one of the most significant representatives of early American social theory, with particular attention to his conception of the state, which can be described as Hegelian. The first part of the paper gives a brief overview of early American social theory: its basic features, the issues that were the focus of attention during this period in the development of sociology in the US, and its most significant representatives. The basic features (...) of Ward’s social theory are then presented and examined in more detail. It is pointed out that it is: conceptual and essentially based on the natural sciences; based on the distinction between pure and applied sociology; systematic; supportive of progressive and pro-social reforms. It was directed against the individualist tradition. His theory was based on the belief that the human mind can direct social progress and that the order based on social inequalities, which is a product of the laissez-faire doctrine, cannot guarantee freedom and prosperity. The fundamental institution capable of doing so is the state. Therefore, the central part of this paper is devoted to his conception of the state and makes a comparison with Hegel’s theory of the ethical state contained in Hegel’s philosophy of objective spirit – philosophy of law and philosophy of history. It concludes by pointing out that Ward’s theory indicated the general direction of development of social circumstances towards the era of collectivism, and was also atypical of American social theory in some of its features. (shrink)

The keynote idea of the theses is contained in the author’s assumption that modern philosophy doesn’t meet its claiming pretensions: to be universal form of knowledge. First of all philosophy is connected not with knowledge but with ideas and secondly being authentic it “exists only in everyday life”.1 In orderthat philosophy could realize its innate essence corresponding conditions of social being should exist but they are still absent and therefore philosophy is absent as well. Its place is occupied by metaphysics (...) which is free movement of thinking that has no definiteness as the condition of being of any form of thought. That iswhy we watch crisis state of “philosophy” which becomes apparent in vagueness of its subject: “philosophy is not only one, there are many of them”. The author supposes that philosophy as the highest relation of mankind to objective reality is the only one. Philosophy lowered down from the heaven (Platon, Ciceron) in the field of human being must raise people not only to purity of thought, but mainly to purity of their activity both with each other and with nature. Then real interaction of men and nature will take place. This will be the beginning of spiritualization of the Universe. It may exist only under the conditions of social uniformity as historical form of Weltanschauung (world outlook) that removes religious form. Realization of its being supposes fundamental change of social life. It is necessary that private property should be replaced with social property in the sphere of social production. Only under these conditions philosophy may appear and exist as historical form of Weltanschauung. (shrink)

The political teachings of Thomas Hobbes and Carl Schmitt imply fundamental ontological structures that reflect the processes of the genesis, assertion, and destruction of political being. The article investigates similarities and differences between these political projects. The approach applied by the author is marked by a reliance on the theoretical analysis of the Leviathan's frontispiece and by employing the conceptual framework of Giorgio Agamben's Homo sacer project. The application of these theoretical optics helps to evaluate the political significance of the (...) present people (the people composed of living human beings) in Hobbes's and Schmitt's contexts and to detect the notable difference between the two projects. The article highlights that political existence presupposes the total depoliticization of the present people in the framework of Hobbes's philosophy. It is argued that the security of the present people's life becomes an underlying condition for the mentioned construction (and is therefore ontologically significant). The provision of security potentially saves the sovereign's own life and guarantees recognition by the subjects. An investigation of Schmitt's teaching reveals the political significance of the present people. Since - according to Schmitt - political will is understood only in the context of political enmity (the necessary "horizon” of which is armed confrontation), it is concluded that the political significance of the present people is closely associated with its members' readiness to die in the war. Due to the fact that political existence is generated through the decision on the public enemy (in which the present people might be involved via acclamation procedures), the resoluteness toward death that underlies this decision must be considered as the key factor of Carl Schmitt's political ontology. In light of this statement, it is argued that the project of Martin Heidegger's Being and Time could be considered as Carl Schmitt's "unwritten" ontology of the individual being. (shrink)

The study relevance lies in understanding strategic objectives' content concerning intelligent technologies’ application. The development and application of artificial intelligence in various branches of human activity carry the potential for global changes in society, which, in methodological terms, increases the relevance of considering these problems. The study of ethical problems of artificial intelligence in the concept of sustainable development of society is connected with the dynamic development of innovative artificial intelligence (AI) technologies, which are considered a process of becoming a (...) new technosubject in the context of neuroscience development. The article emphasizes that the development of artificial intelligence acts as an innovative form of technology development when a new kind of human-machine technosubject is formed. The authors identify social problems of artificial intelligence application as the digitalization of life becomes a global anthropological challenge. Innovations of artificial intelligence are directly related to a number of ethical problems, as they contribute not only to the sustainable development of society but also cause dehumanization of relations between people and society. Based on the analysis of qualitative changes in scientific and technological research, using human-machine devices is becoming inevitable. Humankind must develop ethical guidelines for the application of AI systems. (shrink)

Introduction. The emerging paradigm of socio- cultural development of the Russian Federation’s local communities is conditioned by the trans- formation of production and economic practices based on the concept of a multi-layered economy and multifunctionality emerging under the pressure of globalization on the development of localities. The desire to preserve and maintain socio-cultural traditions, customs, and values is an axiological guideline for developing local communities. The growing social vulnerability of communities creates certain conditions for losing identity, ability for self-identification, and (...) leads to the destruction of socio-cultural identity. The purpose of the study. The article analyzes the problem of socio-cultural evolution when modern- izing production and economic activity generating factors causing the transformation of culture and sociality of local communities, thus determining the processes of integration and disintegration of socioculture. Methods. Sociocultural analysis provides an op- portunity to reveal the main directions of sociocul- tural development of local communities, to explain the essence of interaction, mutual influence and unification of local communities into an interactive socio-cultural space with compatible formations and components. Scientific novelty of the research. The author dis- plays the models of culture and sociality transfor- mation reflecting the processes of modification of the local communities’ lifestyle that determine the transition from the paradigm of sustainable tradi- tional socio-cultural development to the paradigm of innovative transformations. Results. The problem of sociocultural integration and disintegration is associated with globalization processes that generate contradictions of globality and locality. The processes of integration/disin- tegration of the local communities’ sociocultural development are conditioned by the culture and sociality evolution of the constructing model of socio-cultural behavior. The pressure of globaliza- tion plunges the socio-cultural space into a state of diffusion, instability. Historically established traditions, norms, values are transformed into intermediate forms that help to adapt to new living conditions, neutralize the negative consequences of modernization. Territorial sociocultural formations are being formed, within the framework of which attempts are being made to preserve the tradition- al socio-cultural environment. Conclusions. The dynamics of sociocultural pro- cesses determines the emergence of multidirec- tional poles of sociocultural life: from the desire to preserve the traditional socio-cultural environment, to the full acceptance of the meaningful qualities of liberal socio-culture, which destroys the sociocul- tural identity of local communities. (shrink)

Cicero's De fato: On Hellenistic Conditionals and Free Will. The Serbo-Croatian translation of Cicero's De fato, with comments and detailed analysis of some arguments and problems of the text. -/- (s/h): Tekst Ciceronovog spisa "de fato", prevod, komentari i u dodacima, detaljnija analiza pojedinih argumenata i problema sadržanih u tekstu.

The author examines the key philosophical problem of theodicy and freedom as it was first formulated by Fyodor Dostoevsky and later developed by Nikolai Berdyaev.

We study models of HST . This theory admits an adequate formulation of the isomorphism propertyIP, which postulates that any two elementarily equivalent internally presented structures of a well-orderable language are isomorphic. We prove that IP is independent of HST and consistent with HST.

The parameter-free part \(\textbf{PA}_2^*\) of \(\textbf{PA}_2\), second order Peano arithmetic, is considered. We make use of a product/iterated Sacks forcing to define an \(\omega \) -model of \(\textbf{PA}_2^*+ \textbf{CA}(\Sigma ^1_2)\), in which an example of the full Comprehension schema \(\textbf{CA}\) fails. Using Cohen’s forcing, we also define an \(\omega \) -model of \(\textbf{PA}_2^*\), in which not every set has its complement, and hence the full \(\textbf{CA}\) fails in a rather elementary way.

In this article, the author examines the work of Boris Pasternak, primarily his novel Doctor Zhivago, in the context of his Marburg experience and Kantian ideas as the basis of his moral-aesthetic...

Résumé Le but de l’étude présentée est d’analyser des œuvres de Gumilev et Huntington du point de vue de leurs approches et terminologies. Tous les deux ont essayé de donner une explication globale des phénomènes nouveaux dans l’histoire du monde. Malgré une terminologie différente, leurs thèses sont relativement analogues. Ils proposent une approche synthétique qui envisage la totalité de la société et qui les porte au rang des historiens-civilisationnistes, thèse dont la validité et le statut qu’on leur donne restent très (...) controversés de nos jours. Analogies et différences sont repérables d’abord à travers leur système taxonomique. Ces deux auteurs tentent aussi de répondre à la question posée sur la frontière orientale de la civilisation occidentale. (shrink)

"This personification of wisdom with golden hair and a radiant aura echoes both the eternal feminine and the world soul. Rooted in Christian and Jewish mysticism, Eastern Orthodox iconography, Greek philosophy, and European romanticism, the Sophiology that suffuses Solovyov's philosophical and artistic works is both intellectually sophisticated and profoundly inspiring. Judith Deutsch Kornblatt brings together key texts from Solovyov's writings about Sophia: poetry, fiction, drama, and philosophy, all extensively annotated and some available in English for the first time (with assistance (...) from the translators Boris Jakim and Laury Magnus)."--Amazon website. (shrink)

This article discusses the connection between the ideas of Fyodor M. Dostoevsky and Vladimir S. Solovyov on the need for cultural and moral transformation of those who would claim to participate in...