The article considers the possibility of using digital scientific art as a tool for philosophical and aesthetic cognition. On the example of games of cellular automata and from the point of view of the paradigm of synergetics, a large-scale analogy of the dynamics of multi-element distributed systems of various natures is revealed. The question is raised about the nature of beauty, which is interpreted as a fundamental cosmic phenomenon. The concept of protoconstruct is viewed as a mental object, the properties (...) of which are transferred to the objects and phenomena under study. As an example of digital protoconstructs, the article discusses the so-called cellular symmetroids. Cellular symmetroids can be considered from the point of view of scientific art as art objects. At the same time, they represent a deep ontological metaphor. A unique property of cellular symmetroids is spontaneous destruction and transition to quasi-chaotic dynamics. This feature can be linked to the idea of historical time, which is very unusual for mathematical objects. Mathematical structures that arise as a result of calculations according to this model are completely unique and inimitable, like the internal states of the soul or psyche of a thinking subject. At the same time, they are to the same extent determined by the previous state. Integrity, internal unity are inherent not only in symmetric structures but also in the chaos that is born after them, which, in contrast to stereotypical statistical intuitive ideas, is deterministic. However, such an abstract digital art, based on the unconventional mathematics of dynamic chaos, is an accurate ontological metaphor, a visualization of the eidos of the beauty in their relationship with the cosmic logos and the nature of the original creative chaos. (shrink)

Although we frequently acquire knowledge and skills through social interactions, the focus of most research on learning is on individual learning. Here we characterize Interaction Based Learning, which represents the acquisition of knowledge or skill through social interactions, and compare it to Observational Learning —learning by observation. To that end, we designed a movement synchronization paradigm whereby participants learned Tai-Chi inspired movement sequences from trained teachers in two separated sessions. We used a motion capture system to track the movement of (...) 40 dyads comprised of a teacher and learner, who were randomly divided into OL or IBL groups, and calculated time-varying synchrony of three-dimensional movement velocity. While in the IBL group both the learner and the teacher could see each other through a transparent glass, in the OL group dyads interacted through a one-way mirror, such that the learners observed the teacher, but the teacher could not see the learners. Results show that although the number of movements recalled was not different between groups, we found improved movement smoothness in the IBL compared to the OL group, indicating movement acquisition was better in the IBL group. In addition, we found that motor synchronization levels in dyads improved over time, indicating that movement synchronization can be learned and retained. In the first session, the IBL group, but not the OL group, showed a significant improvement in synchronization. This suggests that dyadic interaction is important for learning movement sequences, and that bidirectional communication of signals and mutual feedback are essential for the consolidation of motor learning. (shrink)

The article gives an overview of works on philosophy published in the 19 th and 20 th centuries in Belarus, widely influenced by the reception of philosophical views and trends of leading Western European thinkers. The main philosophical ideas of German philosophers (I. Kant, G.W.F. Hegel, K. Marx, F. Nietzsche and others) found creative reflections among the intellectuals of the Northwestern Krai (Region) of the Russian Empire, which included Belarus in the 19 th century. The authors analyze the role of (...) foreign ideas in the first third of the 20 th century on the example of one of the first textbooks on dialectical materialism published by S.Ya. Wolfson in the 1920s (has undergone seven editions). On the basis of the analysis of dissertations (over 800 dissertation of the 1950s–1980s), the authors demonstrate the significance of Western socio-philosophical ideas for the development of philosophical culture in Belarus. Considering the content and features of the processes of transfer of foreign philosophical ideas for two centuries, it can be concluded that is the dominance of the conceptions of German philosophy, especially in the 19 th century. Interest in German philosophy also prevailed in pre-war Soviet philosophy, while the focus was on Marxism and materialistic philosophy in general. Another trend is the significant role of works on the history of philosophy, including personalities and approaches. All this demonstrates that national Belarusian thought developed in the context of European philosophical culture. (shrink)

Article is dedicated to the description and analysis of metaphilosophical and scientific contexts of the McTaggart paper ‘The Unreality of Time’ (1908) and drawing connections to the ‘analytical’ style of his pupils – B. Russell and G.E. Moore. Main line of argument against the reality of time is presented and analyzed. By the positive relation of McTaggart to the work on ethics by G.E. Moore and negative – to philosophical implications of the special theory of relativity author shows the movement (...) for the autonomy of philosophy or ‘antipsychologism’. Question of a different understanding of the term ‘reality’ in Moore and McTaggart is posed and resolved. (shrink)

This article considers the history of Soviet Spinoza studies after World War II. V.V. Sokolov, editor of the last Soviet publication of Spinoza’s works, regards him as a metaphysician, at times rising to dialectics, and a pantheist rising to materialism. E.V. Ilyenkov, Ya. A. Milner and B.G. Kuznetsov offer a radically different interpretation of Spinoza, as our advanced contemporary. The article provides a critical analysis of the concept of man as a “thinking body,” which Ilyenkov mistakenly ascribes to Spinoza and (...) then corrects on behalf of Marx. Kuznetsov, in his own words, performs a “neo-Spinozist analysis of science.” He is looking for equivalents of Spinoza’s concepts in modern physics, starting with the “physically meaningful” concept of being. Milner wrote a new Ethics, based on the concept of “free necessity” as a social duty consciously performed by the individual. (shrink)

The present Yearbook (which is the fourth in the series) is subtitled Trends & Cycles. Already ancient historians (see, e.g., the second Chapter of Book VI of Polybius' Histories) described rather well the cyclical component of historical dynamics, whereas new interesting analyses of such dynamics also appeared in the Medieval and Early Modern periods (see, e.g., Ibn Khaldūn 1958 [1377], or Machiavelli 1996 [1531] 1). This is not surprising as the cyclical dynamics was dominant in the agrarian social systems. With (...) modernization, the trend dynamics became much more pronounced and these are trends to which the students of modern societies pay more attention. Note that the term trend – as regards its contents and application – is tightly connected with a formal mathematical analysis. Trends may be described by various equations – linear, exponential, power-law, etc. On the other hand, the cliodynamic research has demonstrated that the cyclical historical dynamics can be also modeled mathematically in a rather effective way (see, e.g., Usher 1989; Chu and Lee 1994; Turchin 2003, 2005a, 2005b; Turchin and Korotayev 2006; Turchin and Nefedov 2009; Nefedov 2004; Korotayev and Komarova 2004; Korotayev, Malkov, and Khaltourina 2006; Korotayev and Khaltourina 2006; Korotayev 2007; Grinin 2007), whereas the trend and cycle components of historical dynamics turn out to be of equal importance. (shrink)

Russian philosophy is “a sphere of conversation” in which thought is “divined”. It is a realm of search for “universal meaning” and “cultivation” of historical reality. Such a “conversation” around the work of Dostoyevsky took place in the 1920s among philosophers (including members of the Free Philosophical Association or Volfila in its abbreviated form). The theme takes on added significance at the hands of Ya. E. Golosovker and S. L. Frank whose intellectual affinity manifests itself today in the way they (...) interpret Kantian motives in the work of Dostoyevsky. Reflecting on “the logic of imagination” Golosovker draws attention to the fact that the concrete-metaphysical method of seeing the world is not identical to the amphiboly of Kant’s reflexive concepts. He made it the central theme of his book, Dostoyevsky and Kant, immersing the philosophical component of the novel The Brothers Karamazov in the context of Kant’s antinomies. The later Frank took up the subject of Dostoyevsky’s worldview in response, as it were, to the discussion of the problem of cultural crisis at Volfila (including at meetings “In Memory of Dostoyevsky”). Following Yakov Golosovker, Andrey Bely, Aron Steinberg, Semyon Lurie and others, he continued the discussion of the crisis in its organised forms. In this context, too, Kant is a significant presence. For Frank, as for Golosovker, Dostoyevsky’s world view has a “concrete-metaphysical character”. They come to this conclusion reflecting on the problem of freedom as seen by Dostoyevsky who sought to overcome Kant’s antinomies. (shrink)

Physical systems without time and dynamics have been considered. The principle of how to construct spacetime in a physical system without time and dynamics has been proposed. It has been found what can be objects in such a spacetime, and what can be an interaction between such objects. Within the framework of the considered class of systems, answers to the following problems of philosophy and physics have been found: the nature of consciousness and the connection of body and consciousness (mind-body (...) problem), the nature of time, the anthropic principle and the problem of fine-tuning the universe, the effectiveness of mathematics in describing physical phenomena, the limits of knowledge. There are a number of indications that our Universe is not based on one of the systems of the class considered. The considered class of systems makes it possible to find answers to questions that cannot be answered for our Universe. This shows that it is fundamentally possible to find answers to these questions for our Universe as well. (shrink)

Structures without time and dynamics are considered. The principle is proposed how to build space-time in a structure without time and dynamics. It is found what can be objects in such a space-time, and what can be an interaction between such objects.Within the framework of the considered class of structures, answers were found to the following problems of philosophy and physics: the nature of consciousness and the connection between the body and consciousness (mind-body problem), nature of time, anthropic principle and (...) the problem of fine-tuning the universe, the effectiveness of mathematics in describing physical phenomena, limits of knowledge.The considered class of structures makes it possible to find answers to questions that cannot be answered for our Universe. This shows the fundamental possibility of finding answers to these questions for our Universe as well. (shrink)

The paper aims to formulate theoretical and methodological foundations as well as basic research questions for studying intervention of artificial intelligence in everyday life of medical and life sciences in the 21 century. It is an invitation for professional philosophical, theoretical and methodological discussion about the necessity and reality of artificial intelligence in contemporary medical/life sciences and medicine. The authors commence with a proposition of their definitions of ‘artificial intelligence’ (AI) and ‘artificial sociality’ (AS). The next section of the paper (...) deals with a review of basic trends in medical/life sciences and medicine. In what follows the authors debate two problems related to incorporation of AI in reality of current medicine. The first is the potential revision of the principles developed in western medicine; the second is the alteration of the contents and forms of medical education. The authors theorize the dynamic interplay between structural expansion and cultural contraction of medicine and life sciences in current practices of higher education and explore how this introduces an essential tension between the necessity and reality for medical professionals to work with AI. The paper shows that attending to institutional dynamics serves as a critical and timely extension of disciplinary/cross/anti-disciplinary critiques of science and medicine, not only since the current inclusion agenda of the AI in medicine may do little to address the real concerns of a medical profession in the XXI century but also because it may inadvertently undermine the institutional recognition and epistemic acceptance of new anti-disciplinary vista for studying AI per se. In conclusion the authors underline basic outcomes of the discussion and propose further routes for inquiry and research. (shrink)

The construct of moral intensity, proposed by Jones (1991), was used to predict the extent to which individuals were able to recognize moral issues. We tested for the effects of the six dimensions of moral intensity: social consensus, proximity, concentration of effect, probability of effect, temporal immediacy and magnitude of consequences. A scenario-based study, conducted among business individuals in Singapore, revealed that social consensus and magnitude of consequences influenced the recognition of moral issues. The study provided evidence for the effects (...) of temporal immediacy. There was marginal support for the impact of proximity and probability of effect but no evidence that concentration of effect influenced recognition of moral issues. The paper concludes with a discussion of the implications of these results for researchers and organisational practitioners. (shrink)

The paper presents the reflection on philosophical foundations of contemporary physical concepts of global history and global structure of Universe. It shows that Democritus's dualism of "matter and void" is changed now in dualism of "matter and energy" in the frame of the strings theory, where anything what looks like "a void" is absent. At the same time the Poincare-Perelman's theorem calls to rethink Democritus's philosophy in the light of "space and hole" discourse and call it to come back. On (...) the level of philosophy doctrines for contemporary fundamental physics it in necessary to combine dialectically the concept of "matter and void/hole" and the concept "matter and energy" (or "matter and singular conditions"). It is possible to do on the way of rethinking of H. Bergson's ideas presented in his book "Matter and memory". The conclusion is that fundamental dualism consists the relation "visible matter - invisible historical memory" inside of Universe. (shrink)

In this article, I present a sociological approach to the problem of meaningful work that dwells on its broad social and cultural sources, as opposed to the focus on subjective and organizational factors currently prevailing in the field. Specifically, I consider two sociological perspectives, those of community and autonomy, as important conceptual tools for understanding the ambivalent character of modern culture in providing individuals with a sense of meaningfulness of their activities. I also review some of the existing research on (...) meaningful work and interpret it through this conceptual distinction, both to show the latter’s relevance for the field and to identify the gaps it might help fill. As a result, based on the sociological perspectives, I propose a general conceptual model and discuss five directions to further advance the theoretical comprehension of meaningful work, and I suggest some implications of these perspectives for normative business ethics. (shrink)

: I reformulate and elaborate on important claims relevantly put for debate by the commentators, i.e., counterfactuals are a form of observable experience rather than a plurality of ….

Context: Linguists and philosophers, as well as psychologists, have not yet offered a coherent explanation of the logic behind the intricate grammar of counterfactuals, the meaning of irreality and….

The paper introduces a conceptually important, but previously unknown essay by the Russian poet, theologian and philosopher Aleksey Khomyakov. This essay, “The Slavic and Orthodox Christian Population of Austria,” was discovered in two versions: an original, previously unpublished manuscript and a later anonymous 1845 text. The author reveals an aesthetic function that certain structural elements perform in Khomyakov’s essay, encouraging the interaction between historiosophical ideas and literary creativity. The essay is emphatically philosophical in its style, as its very composition embraces (...) the classic Hegelian triad of “Being—Nothing—Becoming.” This notion overlaps with Khomyakov’s historiosophical idea of the European Slavdom that flourished in the first millennium B.C., and that then lost its sovereignty being under German rule, and finally enjoyed a renaissance in the 19th century. The paper also shows that the distinctive feature of Khomyakov’s poetry is its prophetism. The contrastive analysis was carried out to identify the affinity between the thematic-figurative patterns of Khomyakov’s early poetry and his essay on the Austrian Slavs, which revealed how the poetic thought had been accumulating and what aspect it had taken on within a philosophical and historical discourse. The author of the article puts forward the hypothesis that the difference in depicting Peter the Great in the two versions of Khomyakov’s essay can be attributed to his dispute with Konstantin Aksakov’s poem “To Peter.” This polemic between two fellow-Slavophils was driven by their diverging approaches to the problem of the ethical dilemma of ends and means. (shrink)

An examination of verbal hallucinations and thought insertion as examples of "alienated self-consciousness.".

In this paper we prove that any Δ30 degree has an increasing η -representation. Therefore, there is an increasing η -representable set without a strong η -representation.

The Transamazon (Br-230) Highway in the state of Pará has had its image frozen for decades: themuddy road, the cars stopped or tractors tearing down a forest, empty of people, opening the amazonianspace to a project of an authoritarian modernization. Reproduced by and reproductive of the teachingsof geography – including for children and teenagers who live on the edge of the road, in settlements andcommunities on the sideroads (vicinais) – in textbooks and discourses that frame regional scale (astotalizing and explanatory) (...) instead of scales emplaced in situ. The result of such dinamics is not restricted to a gap between what one experiences as a phenomenon and what one learns as a concept,it goes towards the reproducibility of an “unexistance of the creative potential” of the people living onthe sideroads, places of the construction of a geography, as well as mapping, that, from there, push usto rethink the unwavering foundations of such frosen images , of the generalistic maps and theirstandardizing projections, scales and simbology. To do so, we have, along with students and teachersof 2 schools on the sideroads of the municipality of Pacajá (PA), in the period of the beggining of 2016to 2019, done several geocartographic exercises: mind maps developped with students about the past,present and the future of the vicinal (sideroad). That is, an attempt to provoque the body into the mapand the map into the body in a context of a limit situation of existance, given the precarious schoolconditions as well as the diferent challenges lived by students and teachers. Such corporal engagementas an attempt to think the sideroads as a location in construction and, from there, a situated opening tothe world, is what gives meaning to geocartography. It is possible to conclude that: a) facing thesedimentary representations paralysing and overview of the Transamazon in the state of Pará , thephenomenological exercise of reactivation of geocartogrphying provoques the emergence of asubjective significance that does not separate the emotional and symbolic perspectives on creatingmaps; b) the corporal engagement and the situated perspective of students and teachers, not only hasthe value of a totalyzing exemple, but that of an opening to what is new as they bring up a simbologythat reveals the need to build a dialogical bridge between what is lived on the sideroads and the worldthat classifies it as “unexisting”. (shrink)

Introduction. The article analyzes one of the qualitative states of culture, called the cultural gap, which is a phenomenon of ambivalent properties, on the one hand, generating most of the destruc- tive conflicts in the history of mankind, and on the other hand, in constructive overcoming of contra- dictions, prompting creative transformations. The purpose of the study is to give a definition of a cultural gap with the allocation of significant distinctive features found when analyzing any empirically fixed manifestations of (...) it, for subse- quent understanding at the ultimate general level of reflection. Methods. Philosophical-anthropological, systemic, axiological, historical-philosophical and dialectical approaches are used as the methodological basis of the research, making it possible to consider the phenomenon of cultural gap in various aspects. Scientific novelty of the research. An analysis of the main directions of scientific discourse in the subject area under consideration makes it possible for us to conclude that the phenomenon of a cul- tural gap is studied within the framework of social and humanitarian knowledge, but mainly in relation to the analysis of conflict situations and turning points in history. The phrase “cultural gap” itself is beginning to be introduced into scientific circula- tion, however, often outside the established con- ceptual apparatus, in a narrow context and without meaningful disclosure, which makes it scientifically necessary to address the emerging subject field of studying the phenomenon and determining the meaning of the corresponding term. Results. As a result of the study, the author identifies significant signs of the phenomenon of a cultural gap, consisting in the loss of the integrity of certain areas of culture due to the heterogene- ous development of its parts, a critically significant interruption at the level of structure and content of the universals of culture in the deep value and semantic relationships provided by it, supporting mutual understanding and conflict-free coexistence of people. As no less significant signs, one can also designate the polarization and absolutization of cultural contradictions that result in antagonistic relations between representatives of sociocultural communities, separated by the interruption of these relationships Conclusions. The definition of a cultural gap, formed on the basis of existing options for inter- preting and comprehending this phenomenon, its essential and contextual features, is due to the ontological and semantic ambiguity of some of its aspects, due to which it goes beyond a strict defini- tion and is partly projective in nature, containing significant research potential. The realization of this potential through the functional capabilities of philosophical anthropology and philosophy of culture will make it possible to determine the main approaches to identifying, preventing and overcom- ing cultural gaps, including the formation of new worldview meanings and values that can ensure harmonious coexistence between people of differ- ent cultures in modern conditions. (shrink)

While regarding twentieth century French philosophy as a protracted conceptual war, Badiou has largely avoided an encounter with Foucault on the philosophical battlefield. According to Badiou, Foucault constructs a history of systems of thought starting from something other than philosophy (linguistic anthropology, postmodern sophism, democratic materialism) and, in so doing, exits the philosophical battleground. The present essay explores the prospect of rapprochement between these two thinkers, drawing attention to their shared concern with the theme of true life. For Foucault and (...) Badiou, the life in truth and for truth compels the subject to invent a new way of being at the site of exception to what there is. Although Badiou remains ambivalent about the Foucauldian notion of the philosophical subject, he ultimately endorses Foucault’s conception of the philosophical life, which calls for courage insofar as it summons the human animal to think differently and become other than what one is. (shrink)

The paper is aimed at providing general outlines of the more than two-century history of the theory of moral sanctions. It rests on a thesis about unity of all disciplines studying morality. The aim of the paper has been achieved trough an analysis of how some basic concepts were borrowed and basic ideas were transformed. The first tradition links moral sanctions with public condemnation. Some of its adherents simply identified public condemnation with moral sanction. This opinion prevailed until the middle (...) of the XXth century. Later it was suggested that a sanction becomes genuinely moral only when a transgressor herself is sensitive to condemnation because she recognizes that she deserves it and feels shame, guilt or remorse. It means that an external side of the sanction has to be complemented by an internal one. The first tradition presupposes a deep and thorough analysis of an external side of the moral sanction, i.e. various forms of sanctioning behavior (avoidance, censure, denunciation, reproach, scolding etc.) The second tradition was initiated by J.S. Mill and H. Sidgwick, it includes among moral sanctions the very negative emotions of self-appraisal. For adherents of this tradition, model and most important moral sanctions are internal: guilt and remorse. Characteristics of internal (autonomous) and external (heteronomous) sanctions were established in the XXth century anthropology. Later this distinction became current in the contemporary ethics. (shrink)

Стаття присвячена аналізу складного і суперечливого процесу демократизації арабського суспільства, який відбувається вже багато років. Сучасні глобалізаційні процеси торкнулися і арабського світу, де спостерігається зіткнення цивілізаційних парадигм. Разом з тим наголошується, що існуючі соціальні конфлікти та елементи суспільно-політичної нестабільності, які торкнулися ряду арабських країн, частково є результатом західного впливу і нав'язування інститутів, не властивих арабської соціокультурної традиції. З іншого боку, всі ці феномени цілком можливо розглядати як етап своєрідної демократизації арабського соціуму, який потрібен як важлива складова відповідного процесу.

This paper addresses the problem of human–computer interactions when the computer can interpret and express a kind of human-like behavior, offering natural communication. A conceptual framework for incorporating emotions with rationality is proposed. A model of affective social interactions is described. The model utilizes the SAIBA framework, which distinguishes among several stages of processing of information. The SAIBA framework is extended, and a model is realized in human behavior detection, human behavior interpretation, intention planning, attention tracking behavior planning, and behavior (...) realization components. Two models of incorporating emotions with rationality into a virtual artifact are presented. The first one uses an implicit implementation of emotions. The second one has an explicit realization of a three-layered model of emotions, which is highly interconnected with other components of the system. Details of the model with implicit implementation of emotional behavior are shown as well as evaluation methodology and results. Discussions about the extended model of an agent are given in the final part of the paper. (shrink)

Andrey Tashchian | : Chez saint Augustin le numerus sert de principe ontologique de la beauté finie en révélant l’ascension métaphysique du sensible vers l’intelligible. De plus, se divisant en sphères objective et subjective, le numerus s’avère être une totalité, « l’idée ». Toutefois, comme une forme de la culture antique, ce concept n’est pas connu comme une contradiction réelle, et ainsi les numeri éternels ne sont pas postulés comme un processus où la subjectivité finie, le moi, deviendrait nécessaire (...) pour la substance infinie. Donc, dans la doctrine de saint Augustin, l’essence de la science de la musique n’a pas la valeur de l’activité humaine consciente de soi. | : In St. Augustine’s doctrine of rhythm numerus manifests the metaphysical ascent from sensuousness to rationality and is the ontological root of finite beauty. Moreover, numerus is differentiated into the objective and subjective spheres, proving to be a totality, the “idea.” Meanwhile, as a formation of antique culture, this concept is not known as a real contradiction, and thereby eternal numeri are not posited as a process in which finite subjectivity, I would be a necessity for the infinite substance. So, in St. Augustine’s doctrine the essence of the science of music has not the value of man’s self-conscious activity. (shrink)

Critical phenomena in stock exchange are regularly occurring and difficult to predict events, often leading to disastrous consequences. The presented paper is devoted to the search and research of early warning signals of critical transitions in stock exchange based on the results of a multifractal analysis of a series of transactions in shares of public companies. We have proposed and justified the use of certain features of behavior of multifractal spectrum shape parameters such as signals. As model time series, on (...) which methods of multifractal analysis were tested, we used a series of the number of unstable sites of the sandpile automaton on the random Erdős–Rényi graph, self-organizing into critical and bistable states. It was found that the early warning signals for both cellular automata and stock exchanges are an increase in the magnitude of the maximum position, a decrease in the width, and a decrease, followed by a sharp increase, in the value of the spectrum asymmetry parameter. (shrink)

This note is part of the implementation of a programme in foundations of mathematics to find exact threshold versions of all mathematical unprovability results known so far, a programme initiated by Weiermann. Here we find the exact versions of unprovability of the finite graph minor theorem with growth rate condition restricted to planar graphs, connected planar graphs and graphs embeddable into a given surface, assuming an unproved conjecture : ‘there is a number a>0 such that for all k≥3, and all (...) n≥1, the proportion of connected graphs among unlabelled planar graphs of size n omitting the k-element circle as minor is greater than a’. Let γ be the unlabelled planar growth constant . Let P be the following first-order arithmetical statement with real parameter c: “for every K there is N such that whenever G1,G2,…,GN are unlabelled planar graphs with Gishrink)

Introduction. Judgments on church authority have been transformed depending on the changing posi- tion of the Church in society and its relationship with the state. In the process of rethinking, there have developed special traditions of its understand- ing, which reflected the specifics of the existence of Christian communities in different cultural and legal conditions. The purpose of the study is to outline the traditions of understanding church authority in three Christian denominations and offer grounds for their comparison in the (...) philosophical and canonical aspect. Methods. A comparative method is used on the basis of analyzing philosophical literature and canon-legal sources. Scientific novelty of the research. The article for the first time systematizes confessional differences in interpreting the form, content and levels of church authority. Results. It is shown that the decisive factor de- termining the differences between confessional traditions in the understanding of church authority is the nature of the boundary between the sacred and government authorities. Catholicism, consider- ing the governmental power established by God, includes it in the sacred, along with the teaching and sacramental. Protestantism, on the contrary, radically opposes it to the sacred, recognizing it as the prerogative of the state. Orthodoxy, as a rule, does not recognize government power as sacred, but it does not separate it from the church. Conclusions. An analysis of the positions ex- pressed by representatives of various Christian denominations regarding church authority makes it possible for us to conclude that the Orthodox tradi- tion tends to defend a position equidistant from polar opinions. (shrink)

In this article we find some sufficient and some necessary ${\Sigma^1_1}$ -conditions with oracles for a model to be resplendent or chronically resplendent. The main tool of our proofs is internal arguments, that is analogues of classical theorems and model-theoretic constructions conducted inside a model of first-order Peano Arithmetic: arithmetised back-and-forth constructions and versions of the arithmetised completeness theorem, namely constructions of recursively saturated and resplendent models from the point of view of a model of arithmetic. These internal arguments are (...) used in conjunction with Pabion’s theorem that ensures that certain oracles are coded in a sufficiently saturated model of arithmetic. Examples of applications are provided for the theories of dense linear orders and of discrete linear orders. These results are then generalised to other ω-categorical theories and theories with a unique countable recursively saturated model. (shrink)