Despite the declarations about the possibility of rationalities that are alternative to Western European, despite the reasoning about philosophical multipolarity, the multiplicity of ways of thinking, etc., nowadays, the Western European paradigm of rationality (and concepts that corresponds to it), which is derived from Hellenic thought, continues to claim the status of ideological neutrality and transcend any intercivilizational differences. The Western European rationality in all its diversity is now acting as rationality as such. The indispensability of the reference to the (...) Greek conceptual apparatus in contemporary philosophizing manifests itself most openly in the form of comparativism. Thus, there is the focus on carrying out explicit parallels between, on the one hand, the studied non-European intellectual phenomena and, on the other hand, their supposed European counterparts. An example of the cross-cultural and methodologically sound research of the problems of rationality is an analysis of the Dao through the prism of the Logos. The statement of the uniqueness of the Greek Logos does not imply the prohibition of the existence of its original counterparts in the so-called “non-Western” civilizations with an ancient and distinctive culture. The assumption of the existence of their own analogues of the Logos and rationality in various non-European civilizations presumes the most interesting question about the pluralism of rationalities – the question about the existence of rationalities in the past that could be considered as an alternative to the now prevailing Western European standard of rationality. (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)

The typology of rationality is one of major issues of modern philosophy. In an attempt to provide a typology to Oriental materials, a researcher faces additional problems. The diversity of the Orient as such poses a major challenge. When we say “Oriental,” we mean several cultures for which we cannot find a common denominator. The concept of “Orient” involves Arabic, Indian, Chinese, Turkish and other cultures, and the only thing they share is that they are “non-Western.” Moreover, even if we (...) focus just on Islamic culture and look into rationality in this context, we have to deal with a conglomerate of various trends, which does not let us define, with full confidence, a common theoretical basis and treat them as a unity. Nevertheless, we have to go on trying to find common directions in thought development, so as to draw conclusions about types of rationality possible in Islamic culture. A basis for such a typology of rationality in the context of the Islamic world was recently suggested in A.V. Smirnov’s logic of sense theory. However, actual empiric material cannot always fit theoretical models, and the cases that do not fit the common scheme are interesting per se. On the one hand, examination of such cases gives an opportunity to specify certain provisions of the theory and, on the other hand, to define the limits of its applicability. (shrink)

We consider two-sorted theories of vector spaces and prove a criterion for the assertion that such a theory allows elimination of quantifiers over vector variables.

The article presents a critical semantic analysis of the so-called analytical truths as they were discussed by R. Carnap and building on some new empirical data that are not fully satisfactorily explained by Carnap’s theory. A theoretical reconstruction of Carnap’s theory of analytical truths is proposed. It is demonstrated how his understanding of analytical truths, as statements that are true in all possible worlds and amenable to a quite obvious definition on a par with the concepts of sense (meaning) and (...) synonymy, applies exclusively to artificial languages of logic. Therefore, Carnap’s theory remains unreachable for the well-known criticism of W. Quine, who, in turn, pointed out the difficulties in defining these concepts for natural languages. A theoretical reconstruction of Carnap’s explication of the mentioned concepts in the theory of meaning for natural languages is carried out. The connection of Carnap’s approach with the perspective of contemporary formal semantics is established. Subsequently, problematic cases and the difficulties they pose for Carnap’s concept are examined. An explanation is proposed for analytical truths as containing in their logical form an (unpronounced) quantifier over possible worlds (situations). (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)

Bertrand’s paradox ) can be considered as a cautionary memento, to practitioners and students of probability calculus alike, of the possible ambiguous meaning of the term ‘at random’ when the sample space of events is continuous. It deals with the existence of different possible answers to the following question: what is the probability that a chord, drawn at random in a circle of radius R, is longer than the side of an inscribed equilateral triangle? Physics can help to remove the (...) ambiguity by identifying an actual experiment, whose outcome is obviously unique and prescribes the physical variables to which the term ‘random’ can be correctly applied. In this paper, after briefly describing Bertrand’s paradox, we associate it with an experiment, which is basically a variation of the famous Buffon’s needle experiment for estimating the value of π. Its outcome is compared with the analytic predictions of probability calculus, that is with the probability distribution of variables whose uniform distribution can be considered a sound implementation of complete randomness. (shrink)

This review covers the content of reports and discussions at the 12th Kant Readings Conference held in April 2019 and organised by the research unit of the Academia Kantiana of the Immanuel Kant Baltic Federal University, Kaliningrad. Traditionally, Kant Readings have been thematically universal, embracing all the areas of Kant’s legacy. This time the conference focused on practical philosophy, i.e. the historical grounds and modern significance of Kant’s ethical thought as compared to other philosophical projects of the Enlightenment era. Due (...) attention was paid to the reception of the ethics of Kant and the Enlightenment by philosophers in Russia and the West. Breakout groups discussed aspects of interconnection between the Enlightenment ethics and esthetics as well as interdisciplinary problems at the interface of philosophy of politics and philosophy of education, including ways to counter various forms of intellectual enslavement. The possibilities of applying Kant’s ethical principles were discussed in close connection with the interpretation of the latest trends in the development of science and technology. It was noted that the intellectual and social communication environment of today has much in common with that of the Enlightenment era, which makes the philosophical strategy proposed during that era amenable to adaptation and development. (shrink)

The self-disorder model provides a phenomenological framework for understanding how the core symptoms of Schizophrenia Spectrum Disorders (SSDs) are rooted in an instability of minimal selfhood. This instability involves a range of “anomalous experiences”: transformations in an individual’s perceptual field and sense of being an agent of action. The explanatory value of this theoretical model can be summarized in two claims about the role of anomalous experiences in self-disorders: (1) anomalous experiences express a common trait-like disturbance that is characteristic of (...) SSDs, and (2) anomalous experiences contribute to explanations regarding how self-disorders progress into SSDs. While hypotheses consistent with the first claim have been substantiated in several studies, hypotheses consistent with the second claim remain underexamined. We argue that attending to this gap in the literature requires considering which methodological strategies are best suited for investigating if and how anomalous experiences contribute to the development of self-disorders into SSDs and psychotic states. Network modeling is discussed as one such strategy suitable for examining the role of anomalies of lived-world in the maintenance of paranoid delusions in SSDs. (shrink)

Numerous species use different forms of communication in order to successfully interact in their respective environment. This article seeks to elucidate limitations of the classical conduit metaphor by investigating communication from the perspectives of biology and artificial neural networks. First, communication is a biological natural phenomenon, found to be fruitfully grounded in an organism’s embodied structures and memory system, where specific abilities are tied to procedural, semantic, and episodic long-term memory as well as to working memory. Second, the account explicates (...) differences between non-verbal and verbal communication and shows how artificial neural networks can communicate by means of ontologically non-committal modelling. This approach enables new perspectives of communication to emerge regarding both sender and receiver. It is further shown that communication features gradient properties that are plausibly divided into a reflexive and a reflective form, parallel to knowledge and reflection. (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)

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)

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)

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)

Solar energy has become an integral part of the economy of developed countries, so it is important to monitor the pace of its development, prospects, as well as the largest companies that produce solar panels since the supply of solar energy in a particular country directly depends on them. The study analyzes the shares of Canadian Solar Inc. and First Solar Inc. The purpose of the study is to study the possibility of forecasting the stock price of solar energy companies (...) using neural networks for the purpose of subsequent investment. The recurrent neural network LSTM is used in the article and this approach is based on complexity theory. Machine learning technologies are now being actively implemented in various sectors of the economy and are considered effective. The program used assigns different significance to the data of the last months and the data for the first months of the 1st year. The first year of the last 5 years of the company’s activity is taken as the first year since more distant data no longer have significant significance for the forecast. In the course of the study, a forecast of the stock price of Canadian Solar Inc. and First Solar Inc. for 245 days was obtained. Based on the results obtained, the following conclusions were made: 20 neurons of the network is not enough to make an accurate forecast, but the level of confidence in such a forecast is high enough, neural network forecasts are applicable in investing and are accurate enough to determine medium- and long-term trends, but these forecasts are not applicable for traders. The direction of improving the accuracy of neural network predictions is promising for further research. (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….

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 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)

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)

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 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)

The relevance of the article is due to the authors attempt to apply some of the philosophical concepts of F.M. Dostoevsky to the comprehension of contemporary sociocultural reality. The purpose of this study is to clarify the reasons for the historically unfriendly attitude of Europe towards Russia by analyzing the works of F.M. Dostoevsky dedicated to this problem. In the process of writing the article, the published Diaries of the writer were used; diary entries unpublished during the writer's life; philosophical (...) reflections contained in works of art, as well as applied modern scientific and popular science literature dedicated to the work of F.M. Dostoevsky. In the course of the analysis, it was found that the writer considered historical, confessional and moral reasons to be the main factors in the rejection of Russia by Europe, while he especially singled out disinterestedness incomprehensible to Europe as a characteristic of the Russian people. The authors draws attention to the fact that all the reasons for Europe's "remarkable dislike" for Russia, about which F.M. Dostoevsky, directly or indirectly associated with the Orthodox faith. Therefore, an attempt to actualize the worldview heritage of the great writer will certainly lead us to a dilemma: either to move from thoughts and words to actions, to religiously enlighten both ourselves and Europe; or to enclose our Orthodox heritage in a historical and cultural framework, eliminating the source of the reasons for our rejection by the European public, with all the ensuing consequences. (shrink)

Today a natural ball lightning (BL) phenomenon has not yet correct physical and philosophical explanation. This article is directed on a new exotic version of the occurrence and behavior of ball lightning. BL consists of a bulk air mixture—neutral air molecules, negative and positive aero ions. BL arise on linear lightning tracks due to the primary ionization of the atmosphere and the secondary effects of atmospheric light aero ions arisen. The emerging electrostatic surface tension forces form a volumetric gas drop, (...) in which the significant electrical energy of the “ball capacitor” is concentrated. The long lifetime of aero ions provides time stability of gas ball. As a rule, a BL gradually discharges and disappears due to recombination processes, emitting a weak cold glow. The explosion of BL occurs with an external destabilizing effect on its structure. First of all, this is contact with a source of free electrons—any conductive objects and surfaces, including the human body. The impulse powerful discharge of “ball capacitor” is very dangerous for human. Some other properties of BL are also discussing in this philosophical note. (shrink)

One cannot be responsible for a generic truth, argues Badiou in his critical rejoinder to Sartre; one can only be its militant. Challenging Badiou’s formulation, I propose that his plea for a new stage of the communist hypothesis, which unfolds in the wake of subjective decomposition of the Left, must draw upon the Sartrean notion of collective responsibility to affirm interminable inscription of the egalitarian axiom in a novel political sequence without forcing a violent realisation of equality. Encapsulated in an (...) enigmatic formula, ‘one and one make one,’ Sartrean ethics of the Same compel the Badiouian militant subject to heed the excluded demands of the new proletariat insofar as the latter occupies ‘a point of exile where it is possible that something, finally, might happen.’. (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)

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)

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)

A study of the relationship of trends towards specialization and universalization of scientific knowledge is most fruitful when sociological and epistemological methods are compared. Sociological methods describe the growth of scientific knowledge quantitatively as an increase in volume, whereas epistemological methods do it qualitatively in terms of an increase in the level of generalization. The sociological explanation of the specialization of researchers is based on the limited resources of the study time, the epistemological explanation of the differentiation of disciplines is (...) in the ontological differences of the objects of research. On the contrary, epistemological universalization – the formulation of generalizing theories is conditioned by the social need to ensure the connectivity of the network of technical practices. The history of the development of natural sciences shows a tendency towards absorption of the less developed paradigms by more developed ones. In other words, scientific knowledge increases cumulatively both in quantitative and qualitative terms. (shrink)

The starting point of my study is Kant’s remark to the effect that Garve in his treatise on the connection between morality and politics presents arguments in defence of unjust principles. Recognition of these principles is, according to Kant, an inadvisable concession to those who are inclined to abuse it. I interpret this judgement by making a detailed comparison of the texts of the two treatises. I demonstrate that Garve’s work is an eclectic attempt to combine in one concept the (...) lessons of historical experience with the ideas drawn from British empiricism and German rationalism. These ideas were criticised by Kant in his “critical” period. There is a consensus among researchers that Garve condoned the expansionist policy of Frederick II of Prussia, totally denied that legality in international relations was possible and in general deserved the reputation of an conservative. From that point of view the key values for Garve were the security and well-being of the state. I offer an alternative interpretation of Garve’s position because I believe that the value of political stability plays an important role in it. Such an interpretation makes it possible to treat Garve’s narrative as it was assessed by Kant, i.e. as a concession to the common principles of political practice as a result of a failure to find the guiding theory. My study has established that the role of Garve’s work in the writing of Kant’s treatise Toward Perpetual Peace was more significant than Kant’s own words suggest. Besides, I show that it was under Garve’s influence that Kant turned to the problem of excessive complexity of the principles involved in the search for concrete political decisions. Garve obviously laments this complexity and yet makes these principles still more complex. Kant offers a simpler solution of the problem on the basis of his theory of morals and right. (shrink)

A low linear order with no computable copy constructed by C. Jockusch and R. Soare has Hausdorff rank equal to $2$. In this regard, the question arises, how simple can be a low linear order with no computable copy from the point of view of the linear order type? The main result of this work is an example of a low strong $\eta $ -representation with no computable copy that is the simplest possible example.

There is a number of studies, in which it is established that the observed flows of microposts generated by microblogging social networks are characterized by avalanche-like behavior. Time series of microposts depicting such streams are the time series with a power-law distribution, with 1/f noise and long memory. Despite this, there are no studies devoted to the detection and analysis of self-organized critical state, subcritical phase, and supercritical phase. The presented paper is devoted to the detection and investigation of such (...) critical states and phases. An algorithm is proposed that allowed to detect of critical phases and critical conditions on Twitter, based on the analysis of retweets time series corresponding to the three debates of the 2016 United States Presidential Election, as the most popular debate in the history of America, collecting 84 million live views. (shrink)