In [5] it has been shown that for first-order definability over the reals there exists an effective procedure which by a finite formula with equality defining an open set produces a finite formula without equality that defines the same set. In this paper we prove that there exists no such procedure for Σ-definability over the reals. We also show that there exists even no uniform effective transformation of the definitions of Σ-definable sets into new definitions of Σ-definable sets in such (...) a way that the results will define open sets, and if a definition defines an open set, then the result of this transformation will define the same set. These results highlight the important differences between Σ-definability with equality and Σ-definability without equality. (shrink)

Considering the genesis of "critical theory" as an ideological current, we discover its deeper roots in the sociopolitical orientations of German social democracy between the two world wars. We have in mind: a) the negation of the Leninist analysis of imperialism and the Leninist theory of socialist revolution; b) the loss of faith in the revolutionary possibilities of the working class ; c) the fetishism of the economic factor , the isolation of economics from politics, culture and ideology; d) the (...) idea of Eurocentrism; e) an elitist position. (shrink)

In lieu of an abstract, here is a brief excerpt of the content:Mikhail Bakhtin, Vyacheslav Ivanov, and the Rhetorical Culture of the Russian Third RenaissanceFilipp SapienzaAlthough Mikhail Bakhtin figures centrally in multiculturalism, community, pedagogy, and rhetoric (Bruffee 1986; Welch 1993; Zebroski 1994; Zappen, Gurak, and Doheney-Farina 1997; Mutnick 1996; Halasek 2001, 182; see also Bialostosky 1986) many of his major ideas remain enigmatic and controversial. The elusive aspects of Bakhtin's theories exist in part because rhetoricians know little about Bakhtin's own (...) rhetorical culture. Theorists recognize this problem and call for a reworking of Bakhtin more on his own terms. This call has been made to resolve concerns about Bakhtin's ambivalence toward rhetoric. Since Bakhtin disliked rhetoric, any use of Bakhtin in rhetorical theory is largely a hybrid synthesis of his distinct ideas on poetics, prose, satire, the epic, the novel, and so forth. John Murphy proposes a reconception of Bakhtin closely built around his ambivalence and guided by the question, "what do we [rhetoricians] mean by the concept of a rhetorical tradition?" (2001, 259). The suggestion encourages rhetoricians to take Bakhtin more on his own terms than has been done in the past. Unfortunately, as the word "we" indicates, Murphy reworks Bakhtin primarily in terms of Western ideas about rhetoric. Slavists and "Bakhtinologists" in Russia argue that when talking about Bakhtin, "we" has often meant Western, obscuring the Russian cultural roots of his theories (Kozhinov 1993; Miller and Platter 1993, 118). The privileging of Western perspectives has also been criticized by scholars of other discourse cultures. Discussing American Indian rhetoric, Malea Powell argues that "we" means a Rhetorical Tradition that begins "with the Greeks, goes Roman, briefly sojourns in Italy, then shows up in England and Scotland, hops the ocean to America and settles in" (2002, 397). Differences in interpreting Bakhtin also proceed from translation difficulties between Russian and English. The Russian reader views Bakhtin in more essentialist ways as opposed to the "post-modern give-and-take" theorist of many Western [End Page 123] interpretations (Emerson 1990, 113). Read in the Russian language and from that cultural context, Bakhtin's vocabulary contains "conspicuous" elements of Orthodox Christianity and Slavic nationalist ideas (Kozhinov 1993; Mihailovic 1997) that reveal a Russian theological subtext to his ideas about community and dialogue.In this essay, I provide a reading of Bakhtin against the background of his own rhetorical culture. More specifically, I offer an analysis of an intertextual dialogue about language and community between Bakhtin and the symbolist writer Vyacheslav Ivanov. Scholars identify Ivanov as a poet, philosopher, and teacher who profoundly impacted Bakhtin (Mal'chukova 1992, 55). The Russian symbolists upheld strong nationalist ideals and a linguistic theory rooted in metaphysics (Mirsky 1972, 188). Many Slavists and Russian readers of Bakhtin suspect that Ivanov strongly influenced Bakhtin's rhetoric even though, for reasons unknown but that are suspected to be political, Bakhtin understates his debt to him (Ivanov 2001, 3). Bakhtin was not unlike his contemporaries in sharing an interest and vocabulary that addressed the major threads of symbolism. Read side by side with Ivanov's essays in Russian, Bakhtin's rhetoric displays a mixture of the European, Slavic, and Christian ideals that were in parlance among many Russian theorists in early twentieth-century Russia. Bakhtin and Ivanov give us a glimpse of this rhetorical culture. More specifically, they help us to better understand our appropriations of Bakhtin based on an elucidation of the meaning of specific terms as they existed among Bakhtin's contemporaries.The method that I use requires translation of specific Russian passages into English. Terms and phrases are interpreted against the usage background of others in early twentieth-century Russia. Bakhtin's Slavic-theological connections become evident through the elucidation of these intertextual references. Through this method, a common and accepted practice in Slavic literary studies, the use of key words and phrases are traced in and among texts to identify a discourse among authors and explicate its meaning.1 As Steven Mailloux points out, a "rhetorical hermeneutics" focuses on "the historical sets of topics, arguments, tropes, ideologies, and so forth" that give meaning to rhetoric (1988, 15-16). The approach is necessary due to the unique political and artistic circumstances during the early... (shrink)

Responding adequately to the behaviour of human and non-human animals in our environment has been crucial for our survival. This is also reflected in our exceptional capacity to detect and interpret biological motion signals. However, even though our emotions have specifically emerged as automatic adaptive responses to such vital stimuli, few studies investigated the influence of biological motion on emotional evaluations. Here, we test how the motion of animals affects emotional judgements by contrasting static animal images and videos. We investigated (...) this question (1) in non-fearful observers across many different animals, and (2) in observers afraid of particular animals across four types of animals, including the feared ones. In line with previous studies, we find an idiosyncratic pattern of evoked emotions across different types of animals. These emotions can be explained to different extents by regression models based on relevant predictor variables (e.g. familiarity, dangerousness). Additionally, our findings show a boosting effect of motion on emotional evaluations across all animals, with an additional increase in (negative) emotions for moving feared animals (except snakes). We discuss implications of our results for experimental and clinical research and applications, highlighting the importance of experiments with dynamic and ecologically valid stimuli. (shrink)

The relevance of the research. The various approaches are analyzed on the essence of nostalgia, ranging from psychological understanding of this phenomenon as emigrant`s neurosis and mental illness to a more profound comprehension of it as a cultural and philosophical “universalia” that concerns complicated mechanisms of historical memory, identity, time and eternity. Analysis of research and publications. Among contemporary researchers investigating the ethical, religious and cultural-historical dimensions of nostalgia, there should be mentioned S. Boim, F. Davis, S. Merzlyakov, V. Nurkov, (...) Y. Davydov, E. Loftus, O. Fedkov, M. Rewakowicz, M. Shkandrij, M. Boichenko, O. Yakovleva, V. Liakh, E. Novikov and many others researchers. The purpose of the paper is to examine the ethical and religious dimensions of nostalgia, to figure out the connection of nostalgia with the problems of memory, time and eternity. Presentation of the main research material. The article deals with the cultural phenomenon of nostalgia, its religious, ethical and general philosophical aspects. It is shown that nostalgia is based on memory value selectivity, due to which a moral tradition, social and individual identity, and the continuity of generations are established. Modern man rebels against the actual state of being as untrue and non-authentic. He feels nostalgia for the past as something right and proper. A person not only mythologizes, but also seeks to resurrect the past in a symbolic way. In this almost religious faith in the resurrection of what is gone there is an existential certainty for the final cancellation of time and triumph of eternity, within which everything is preserved and nothing is forgotten. Nostalgic lust for the past is inherent to humanity throughout its history and is especially actualized in the culture of postmodernism. Conclusion. Nostalgia is a kind of personal and social myth creation, the construction of the historical identity. It reconstructs the past, which appears not only valuable and significant for the present, but also proper. Nostalgia is a moral phenomenon based on a morally healthy memory, capable of forgiveness, reconciliation and love for one's own destiny. The attention is stressed on metaphysical, political and aesthetic forms of nostalgia that oppose destructive force of nihilism. (shrink)

У статті досліджено погляди Е. Левінаса на проблему Іншого. Зазначається, що в центр етичних відносин філософ ставить Іншого, який виступає абсолютно трансцендентним ликом, не підвладним "насиллю теорії" і асиметричним по відношенню до дій Я. Шлях до відкриття безкінечності лику Іншого по той бік об'єктивації в пізнанні Е. Левінас убачає в застосуванні феноменологічної процедури "епохе".

The level of medical care to patients and the success of the implementation of the national project "Health" depend on the health status and doctor's professionalism. Modern healthcare reform is being implemented by optimizing costs, merging medical organizations, closing ineffective hospitals, expanding the use of high-tech care and informatization of the doctor's activities. All this makes it necessary to assess the health of doctors. Scientists have studied the quality of life and identified the professional burnout of doctors in children's clinics (...) in different age groups. Primary care pediatricians have a higher quality of life score when compared to the standard [1]. However, all groups have a high level of professional burnout. The pre-retirement group of doctors has more unfavorable profile. They are highly professional specialists but may experience emotional discomfort because the pension system has been reformed. This situation requires the introduction of preventive work with doctors of this age as a group with great potential and capable of professional longevity. (shrink)

The relationship between ideals I of Turing degrees and groups of I-recursive automorphisms of the ordering on rationals is studied. We discuss the differences between such groups and the group of all automorphisms, prove that the isomorphism type of such a group completely defines the ideal I, and outline a general correspondence between principal ideals of Turing degrees and the first-order properties of such groups.

Книга предназначена для учащихся и преподавателей средних и высших учебных заведений, а также научных и работников и методистов, интересующихся вопросами социологии, религиоведения.

The current global crisis caused by the coronavirus pandemic has already become a challenge for individual national economies, as well as the global world system as a whole. The eminent English historian Toynbee wrote that the viability of a civilization depends on the extent to which its elite can mobilize its intellectual, moral, and physical strength to respond adequately to the challenges. Therefore, challenges are necessary for humanity since without them one would deal with spiritual and intellectual stagnation. Indeed, that (...) which does not kill us makes us stronger. This aphorism becomes especially relevant in present times when the world is concerned with what the “post-covid” world will be, what transformations the values and worldview of individuals will undergo. The coronavirus pandemic acts in this case as a catalyst and accelerator for change and forces one to pay attention to them. As Toffler once pointed out, “The inhabitants of the earth are divided not only by race, nation, religion or ideology, but also, in a sense, by their position in time”. The future is rapidly coming, although only a few per cent of the entire human population “live” in the future, that is, are psychologically ready for it. The vast majority of people live with old ideas, stereotypes, and norms of past generations. This does not mean that one should break “the link of times” and recklessly erase the historical past. However, one cannot ignore the fact that a new era is being replaced by a new one. (shrink)

Cohesive powersof computable structures are effective analogs of ultrapowers, where cohesive sets play the role of ultrafilters. Let$\omega $,$\zeta $, and$\eta $denote the respective order-types of the natural numbers, the integers, and the rationals when thought of as linear orders. We investigate the cohesive powers of computable linear orders, with special emphasis on computable copies of$\omega $. If$\mathcal {L}$is a computable copy of$\omega $that is computably isomorphic to the usual presentation of$\omega $, then every cohesive power of$\mathcal {L}$has order-type$\omega + (...) \zeta \eta $. However, there are computable copies of$\omega $, necessarily not computably isomorphic to the usual presentation, having cohesive powers not elementarily equivalent to$\omega + \zeta \eta $. For example, we show that there is a computable copy of$\omega $with a cohesive power of order-type$\omega + \eta $. Our most general result is that if$X \subseteq \mathbb {N} \setminus \{0\}$is a Boolean combination of$\Sigma _2$sets, thought of as a set of finite order-types, then there is a computable copy of$\omega $with a cohesive power of order-type$\omega + \boldsymbol {\sigma }(X \cup \{\omega + \zeta \eta + \omega ^*\})$, where$\boldsymbol {\sigma }(X \cup \{\omega + \zeta \eta + \omega ^*\})$denotes the shuffle of the order-types inXand the order-type$\omega + \zeta \eta + \omega ^*$. Furthermore, ifXis finite and non-empty, then there is a computable copy of$\omega $with a cohesive power of order-type$\omega + \boldsymbol {\sigma }(X)$. (shrink)

We investigate effective categoricity of computable equivalence structures . We show that is computably categorical if and only if has only finitely many finite equivalence classes, or has only finitely many infinite classes, bounded character, and at most one finite k such that there are infinitely many classes of size k. We also prove that all computably categorical structures are relatively computably categorical, that is, have computably enumerable Scott families of existential formulas. Since all computable equivalence structures are relatively categorical, (...) we further investigate when they are categorical. We also obtain results on the index sets of computable equivalence structures. (shrink)

The sphere of international tourism for the period 2000–2018 has been explored and analyzed in the article. The dynamics of the world tourist flows development and income from international tourism are considered, the determinants of development are derived, the regional structure of the world market of tourist services is given. The development of the tourism industry in the world is analyzed by indicators: the number of tourist arrivals, tourism revenues at current prices, total contribution of tourism to GDP. The main (...) tourist regions are analyzed in the context of the study, they are compared both in terms of the number of tourist visits, and a list of the TOP 10 countries by volume of foreign exchange earnings from tourism in recent years. It is concluded that in recent years, there is a continuing upward trend in demand for emerging markets, with old markets such as the European market, partially losing its popularity. In the process of research, it is determined that in the conditions of development of the world economy, expansion of volumes of international trade, improvement of means of transport, communication, increase of internationalization and globalization of the world economy the demand for tourist services increases. One of the peculiarities of the development of the international tourist services market is the globalization of the market, which has reached all sectors of the tourism industry. It is concluded that nowadays international tourism is an important area of international economic activity, a complex sphere that significantly affects both the structure and the situation in the world economy as well as the economies of most individual countries and regions of the world. Tourism development has a stimulating effect on such sectors of the economy as transport, communications, trade, construction, agriculture, production of consumer goods, and іt is one of the most promising areas of structural restructuring of the economy, confirming the amount of foreign exchange earnings from tourism in the world in general and in individual countries. It is the increasing demand for tourism services and the volume of foreign exchange earnings from tourism in the world makes the topic relevant for further research. (shrink)

This paper calculates, in a precise way, the complexity of the index sets for three classes of computable structures: the class $K_{\omega _{1}^{\mathit{CK}}}$ of structures of Scott rank $\omega _{1}^{\mathit{CK}}$ , the class $K_{\omega _{1}^{\mathit{CK}}+1}$ of structures of Scott rank $\omega _{1}^{\mathit{CK}}+1$ , and the class K of all structures of non-computable Scott rank. We show that I(K) is m-complete $\Sigma _{1}^{1},\,I(K_{\omega _{1}^{\mathit{CK}}})$ is m-complete $\Pi _{2}^{0}$ relative to Kleen's O, and $I(K_{\omega _{1}^{\mathit{CK}}+1})$ is m-complete $\Sigma _{2}^{0}$ relative to O.

We construct a computable vector space with the trivial computable automorphism group, but with the dependence relations as complicated as possible, measured by their Turing degrees. As a corollary, we answer a question asked by A.S. Morozov in [Rigid constructive modules, Algebra and Logic, 28 570–583 ; 379–387 ].

We investigate effective categoricity of computable Abelian p-groups . We prove that all computably categorical Abelian p-groups are relatively computably categorical, that is, have computably enumerable Scott families of existential formulas. We investigate which computable Abelian p-groups are categorical and relatively categorical.

We study the relationship between algebraic structures and their inverse semigroups of partial automorphisms. We consider a variety of classes of natural structures including equivalence structures, orderings, Boolean algebras, and relatively complemented distributive lattices. For certain subsemigroups of these inverse semigroups, isomorphism of the subsemigroups yields isomorphism of the underlying structures. We also prove that for some classes of computable structures, we can reconstruct a computable structure, up to computable isomorphism, from the isomorphism type of its inverse semigroup of computable (...) partial automorphisms. (shrink)

We improve on and generalize a 1960 result of Maltsev. For a field F, we denote by $H(F)$ the Heisenberg group with entries in F. Maltsev showed that there is a copy of F defined in $H(F)$, using existential formulas with an arbitrary non-commuting pair of elements as parameters. We show that F is interpreted in $H(F)$ using computable $\Sigma _1$ formulas with no parameters. We give two proofs. The first is an existence proof, relying on a result of Harrison-Trainor, (...) Melnikov, R. Miller, and Montalbán. This proof allows the possibility that the elements of F are represented by tuples in $H(F)$ of no fixed arity. The second proof is direct, giving explicit finitary existential formulas that define the interpretation, with elements of F represented by triples in $H(F)$. Looking at what was used to arrive at this parameter-free interpretation of F in $H(F)$, we give general conditions sufficient to eliminate parameters from interpretations. (shrink)

We establish that the isomorphism problem for the classes of computable nilpotent rings, distributive lattices, nilpotent groups, and nilpotent semigroups is \-complete, which is as complicated as possible. The method we use is based on uniform effective interpretations of computable binary relations into computable structures from the corresponding algebraic classes.

The article analyzes the information on the Internet of Things, based on Evgeny Morozov's approach, and in genome studies, on Paula Sibilia's approach, identifying the main characteristics of the information, critically and reflexively relating them to the freedom that is derived from it, mainly, in its link with the market, surveillance and control, and with the disembodiment and depoliticization inherent in it.

The study relevance lies in the fact, that the prestige and success functioning of the high education national system depends on both the teacher and the high education institution. Such requirements make it necessary to purposefully prepare future high school teachers for creating their own effective professional and pedagogical image. Modern society perceives image as a political and socio-cultural category. Image acts as a link between the individual and the audience. At the same time, it serves as a reflection of (...) both the audience interests and the professional interests, seeking to combine these interests, to move away from the unilateral pressure from above, typical of a totalitarian state. A recent research’s and publications’ analysis. In the study we consider the essence of a specialist’s professional image and his effective self-presentation features, which are presented in the works of I. Alekhin, V. Bebik, M. Vudkoka, F. Genov, F. Kuzina, N. Skripachenko, E. Utkin, D. Francis. The scientific achievements in the pedagogical image formation and a high school teacher’s "professional image" of such scholars as I. Volodarska, N. Guzy, A. Morozov, S. Panchuk, V. Khoroshikh, O. Chebikin, I. Chertikova deserve attention. An unexplored parts of a common problem s election - regularities in the development of the educational personnel pedagogical skills and a formation of professionally important qualities in future managers. The study foundation - the basic scheme for the individual image formation, is represent a novelty. The professional and pedagogical teacher image ensures a high social prestige and success of national system, which is simultaneously based on the strict requirements that the target audience puts forward. The study’s aim is to analyze the influence of personality characteristics on a professional image formation. The main material presentation. The modern image perception analysis is carried out not only in economic, but also in political and socio-cultural categories; presents the "image" definition; it was found that the image can be divided into two types: the ideal and the real analyzed sign systems, contribute to the image’s creation; highlighted the main image management types, which has a positive effect on the leader image and the whole team work’s result; selected elements in the individual with the personalization strategy of building a favorable image; it is established that the image has a very clear attachment to this time, reflecting even the nuances of changes in public opinion. The research methodology was made by methods of analysis and generalization. Conclusions - a concept has been formed in which a person must clearly maintain his image and the corresponding actions and actions. (shrink)