Mathematics: Formation, Substantiation, Resolution of the Crisis
Rozin Vadim
DOI: 10.17212/2075-0862-2023-15.1.2-372-387

The article discusses the current situation in mathematics, which is interpreted as a crisis. The problems that allow making such a conclusion are considered: the question of the scientific status of mathematics, the possibility of its substantiation, the mental or experimental nature of mathematics, the time of its formation. The author presents the results of the genesis of geometry, the generalization of which makes it possible to assert that mathematics, on the one hand, can be considered a kind of empirical science, on the other, a constructive scientific discipline, in which more complex ideal objects are created on the basis of initial ideal objects and knowledge. Two different understandings of the foundations of mathematics are considered - general scientific and David Hilbert’s, as well as what paradoxes are in science and how they are removed. The author is inclined to believe that antinomies in mathematics cannot be eliminated once and for all, their source is attributing inconsistent characteristics to objects of mathematics, which is due to the very structure of mathematics. The fact is that the construction of ideal objects of mathematics proceeds under the influence of at least four areas: the empirical area, describing which mathematicians create initial ideal objects and knowledge; areas of design based on the original more complex ideal objects; areas of geometric theorem proofs; area of ​​construction of the theory of geometry. In addition, here it is necessary to add the concept of the foundation of mathematics by D. Hilbert, and also take into account that there are different concepts of the foundation of mathematics. At the end of the article, the features of the current crisis in mathematics and the possible direction of its resolution are discussed.

Religious Extremism as a Socio-Cultural Phenomenon: The Problem of the Ontological Boundary
Dolin Vyacheslav
DOI: 10.17212/2075-0862-2022-14.2.2-395-410

The subject of the article is the problem of the ontological boundary of religious extremism as a socio-cultural phenomenon. The methodological basis of the research is the non-classical linguistic semantics of Frege – Russell. Within its framework, meaning, concept and sign are distinguished for the subject of thought. This methodology complements the predominance of the activity approach in the research of religious extremism. Such methodological unilateralism creates the illusion of the scholastic nature of the investigated problem, when the scientific result is expected to comment, clarify and systematize the known knowledge about religious extremism. As a result, religious extremism is considered metaphysically as an unchanging phenomenon that has no spatial and temporal boundaries. This research was conducted in two stages. The first one highlights the essential signs of religious extremism. The traditional triad of signs “subjects, sphere of activity, implementation methods” is supplemented by the fourth: “the purpose of activity”. Based on the analysis, religious extremism is defined as extreme actions of religious elements in the political life of society, aimed against the structural elements and ideology of secular society. The article rejects the provisions on uncritical identification with religious extremism of the following social phenomena: violation of national legislation on freedom of conscience and religious associations; religious fanaticism; religious sectarianism; nationalism. At the second stage of the research, the spatial and temporal boundaries of religious extremism are comprehended. Spatially religious extremism is typical for both post-industrial and traditional societies of the second half of the twentieth and early twenty-first centuries. The article puts forward historical-religious arguments and an argument against the thesis of the timeless nature of the existence of religious extremism. Based on the formation of a secular society on the economic basis of an industrial society since the second half of the XIX century, four factors of the emergence of religious extremism have been identified: secularization of public consciousness; desacralization of power; inversion of violence; limited support. As a result of the conducted research, the metaphysical consideration of religious extremism as an unchangeable phenomenon has been overcome and its conceptual understanding has been deepened.

Philosophy of Love: Analytical Approach of Raja Halwani
Diatlov Ivan
DOI: 10.17212/2075-0862-2022-14.2.2-283-301

Philosophy of love as a subfield of moral philosophy and history of philosophy questions the very foundations of how people love each other. Within the philosophical debate, not only the sources of love but forms and types are questioned. Does the source of love correspond to a concrete form of love? What is the difference between parental love and friendship love? What is the main difference between romantic love and the abovementioned? A philosopher from Chicago, Raja Halwani made a methodological and pithy impact in the debate. On the one hand, his main achievement in the recent debates is the distinction between two kinds of love: romantic love 1 and romantic love 2. Halwani notes that the main disagreement among philosophers stems from the fact that philosophers usually don’t see this difference. And if philosophers would keep this difference in mind, it would clarify our debates. On the other hand, professor Halwani doesn’t propose a conceptual novelty but interestingly refines the current debates on love’s aspects. These debates are debates concerning the main characteristics of love and how we can defend these characteristics. Halwani clarifies the central concepts of romantic love such as “constancy”, “exclusivity”, “uniqueness”, “irreplaceability”. The philosopher devoted special attention to reflections upon how exactly we can apply existing moral theories to love. At the end of the article, an attempt is made to compound many of Halwani’s statements about RL1 and RL2 in a unified table.

The Ontological Foundations of Musical Creativity
Makarov Ilya
DOI: 10.17212/2075-0862-2022-14.2.2-320-337

In the system of classical arts, music has always been perceived as a human actional breakthrough to understanding the Universe. The musical language, considered as a cultural universal, is the basis of intuitive cognition, a felt view of the axiological unity of Truth, Goodness and Beauty. The article offers an analysis of the formation of the main philosophical theories of the ontological nature of musical creativity in their historical continuity.

In the history of ideas, the phenomenon of musical creativity has been perceived as a special kind of revelation. This reveals the obvious importance of the aesthetic approach in understanding the transcendental world; the objectified connection of man with ontological processes. Modern theories of universal evolutionism represent the development of the Universe as a single system based on the unity of its laws. It is in our time that comprehension of the essence of musical creativity opens a fundamentally new page in the philosophical understanding of the centuries-old history of music. The key point is the idea of the Μελῳδός aspiration to the Λόγος, the tendency to move from particular theoretical constructions and critical assessments to considering the phenomenological foundations of music, fundamentally presented, in particular, in the works of A. Losev and T. Adorno.

In the XX century, there was an obvious surge in the formulation of generalizing musicological concepts, and it was in the XX century that the philosophy of music received qualitatively new worldview foundations for its comprehensive interpretation. In this respect, the study of the epistemological nature of musical creativity has reached, it would seem, its peak.

However, comprehension of the investigated theories allows us to draw conclusions only about the possible approximation of a true understanding of the essence of musical creativity as a special cognitive practice. This turns out to be possible on the methodological basis of cumulative generalization, taking into account the religious, aesthetic, cultural, psychological, educational and other approaches in comprehending the value of the “world of sound”.

From the Being of Culture to the Culture of Being: About Perspective Possibility of Constructing Positive Ontologies
Karipbayev Baizhol,  Sharipov Alibek
DOI: 10.17212/2075-0862-2022-14.2.1-56-67

The article presents a historical and philosophical retrospective aimed at establishing strict conceptual boundaries that prevent uncontrolled extrapolation of modern terms and concepts to realities that are not included in the meanings of modern humanitarian discourse. The philosophical definition of the “culture” concept is substantiated, which includes specific characteristics that have a chronologically factual origin. The authors give a general conceptual overview of current intellectual trends dealing with the theming of the phenomenon of culture; and highlight their pluralistic character. The article analyzes the polysemicity of the postmodern situation as an intersubjective disposition within cultural communication and as a special way of understanding the current state of affairs that exist under the sign of fundamental complexity. Criticism of destructive attitudes in understanding and predicting possible outcomes and solutions of pressing culturological problems is carried out. In particular, it points to the moment of subjective psychologizing in some pessimistic expert assessments, when personal disorder in new circumstances is presented as an objectively negative state of affairs. The principles of constructivism ontology are introduced and defended, which constitute an alternative to the traditional understanding of philosophy as delayed evidence (the owl of Minerva flying out into the twilight). A fundamental replacement of the descriptive (passive-contemplative) approach is proposed with a projective (active-creative) one. The authors present a substantial version of constructing a positive ontology based on a historical precedent in the form of the ideology of classical humanism. The philosophy of postmodernism is interpreted as hyperreflection of Modernity, that is, not as a negation, but as overcoming the traditional structures of rationality to form more complex (sophisticated) types of reflective thinking. The authors substantiate the need to connect a volitional resource, intentionalized in the direction of creating semantic configurations of social reality. This eliminates the reductionist possibility of interpreting such a call by appealing to complex contexts that require the development of complimentary discourses and narratives.

The authors adhere to the position according to which any extreme is false, and the truth is found in the zone of balance between the extremes, considering the completeness of the experience knowledge of both extremes. Classical history passed under the sign of speculation, the 20th century - under the sign of thoughtless activism. In the 21st century, it is necessary to learn how to combine these extremes.

Critical Attitudes among the Soviet Scientific and Academic Intelligentsia in the Historical and Socio-Cultural Context of 1960-1990s
Filippov Sergey
DOI: 10.17212/2075-0862-2022-14.2.1-68-85

The article deals with investigating into the conditions of the critical attitude spread among scientists and academicians during the period of 1960s–1990s towards some aspects of domestic and foreign state policy of that time. At the same time, the motives for such a criticism seem not to be obvious, since the social status and well-being of the scientific and academic intelligentsia, as well as its public prestige, was one of the highest among the socio-professional groups of Soviet society. To perceive criticism of Soviet scientists as a form of struggle against the regime does not seem entirely correct, since the critically thinking Soviet scientists did not seek to popularize their socio-political ideas and attract supporters from other social groups. On the contrary, the discussion on “complex” political and socio-economic aspects of the Soviet society took place within closed communities. In addition, the Soviet scientific intelligentsia of that time, unlike the pre-revolutionary intellectuals, did not idealize people; they did not have a sense of “guilt” towards it, as well as the idea of selfless “serving the people”. Soviet scientists perceived themselves as an elite, even aristocratic group, and this idea found expression in the science-fiction novel “Hard to Be a God” by the Soviet writers Arkady and Boris Strugatsky. The main character of the novel is the historian Anton, who was sent to the Arkanar Kingdom on an alien planet and assumed the role of an aristocrat named Don Rumata. He masterfully uses a sword, enjoys phenomenal success with women and contributes to the progress of local humanity. The Soviet intellectuals of that time constructed their own elite professional and social identity using the practices of prestigious consumption and behavior and pursuing specific socialization strategies that were alternative to the official Soviet norms and rules of behavior. The self-identification of scientists as an elite group within the Soviet society was based on the social conditions for the development of science in the USSR in the 1950s–1960s such as a high level of prestige of scientific and academic activities, high expectations from science as well as creating relatively autonomous scientific centers (“Academic Town” or ZATO (‘closed administrative-territorial formation’) – closed towns with secret research installations). Such settlements were quite independent from the local and regional authorities being subordinated directly to Moscow. Besides, secrecy of closed cities or facilities limited the possibilities of the direct control and interference from regional party and state authorities in the activities of scientific institutions and scientists.

Stand-Up as an Indicator of Passionarity: To the Methodology of the Question
Ibragimov Radiy,  Amzorova Diana
DOI: 10.17212/2075-0862-2022-14.2.1-86-100

The article deals with a scientific substantiation of the possibility to solve an essential methodological goal — social diagnosis of human capital on some concrete social practice, taken as an indicator. A humorous genre ‘stand-up comedy’ is suggested to be chosen as the indicator. Arguments: 1) It is one of the most energetically developing areas with a youth audience in Russian mass culture. 2) The economic side of the project, its capitalization in the literal sense of the word, is also actively developing. 3) High level of the individual success, which allowed for the consideration of a stand-up comedian as a local ‘growth point’. 4) The last argument allows involving the arsenal of the passion theory, reconsidering the problem from a social energetic point of view. 5) It, therefore, allows considering irregular distribution of stand-up communities localization as an effect of passion theory erosion in a particular region (The Republic of Khakasia). Stand-up was analyzed from different points of view: philosophical, historical, aesthetic, economical, political and micro-sociological.

As a result of the analysis a number of provisions were put forward which allow designing empirical research programmes. For instance, by using an idea that laughter is alienated aggression, one may clarify the perspective of social tension studies. Historical analysis showed that stand-up metamorphosed from a Protestant sermon and may be the indicator of westernization of both society and its regional localizations. Political studies of the problem allowed formulating relativity of the social and aesthetic resonance of comedy. Micro-sociological analysis helped to define the mechanism and distribution tendency of passion theory tension in an audience.

As a result of the study certain thematic clusters and an algorithm of their logical interdependence were defined, aimed at empirical research, which will make it possible, in short term, to implement methodologically valid study of human capital by using a stand-up comedy as an indicator.

Falsehood from the Standpoint of Inverse Analysis
Sevostyanov Dmitry
DOI: 10.17212/2075-0862-2022-14.2.1-101-114

The article presents a socio-philosophical analysis of such a phenomenon as a falsehood. The analysis of falsehood is based on the study of inverse relations in a hierarchical system. Since the lie itself can be considered as a hierarchical system, and in addition, it is implemented in a hierarchical social system, this approach is reasonable. Inversion is a form of system relations in which some lower element takes on a dominant value. This situation is observed, in particular, when a falsehood occurs. The ability of the system to form inversions depends on the organizational principles that determine the hierarchical subordination of elements in the system. System inversions occur when one organizational principle contradicts another. Inversion, which has developed in a hierarchical system, is an increase in internal contradictions that can destroy this system from the inside. The very fact of falsehood is generated primarily by the peculiarities of human thinking. A verbal thought is significantly different from a verbal utterance in the process of communication. What matters, however, is the strength and direction of these differences. The falsehood itself can be considered as a hierarchical system in which at least four organizational principles can be identified. The first such principle distributes statements according to the degree of their inconsistency with the real state of affairs. The second principle places statements in a hierarchy according to their degree of plausibility. The third principle is based on the degree of anti-sociality of the falsehood. Finally, according to the fourth principle, the hierarchical relationship between statements depends on whether the statement affects the reflection of facts or opinions. As a result of the interaction of these statements, inverse relations are formed in the system of falsehood.

Reflecting the Ideas of a New Philosophical Paradigm of Education (Following in the Footsteps of Oleg Bazaluk’s Book)
Rozin Vadim
DOI: 10.17212/2075-0862-2022-14.2.1-115-130

The article presents a detailed response to the new book of the philosopher Oleg Bazaluk “Discursive Thinking through Education”. The problem of understanding Plato’s terms is discussed, in connection with which the author of the article expresses the idea that the correct reconstruction of the statements of ancient philosophers allows not only to choose the necessary values from the existing ones, but also to set new ones; at the same time, he believes, understanding the narratives of a foreign culture (or one’s own, but cultivating a different type of thinking) is quite possible, however, the condition for this is a change in one’s own consciousness, which, figuratively speaking, must be re-educated through the methodology and practice of historical and cultural thinking. The author reconstructs the picture of the world that Plato built and the ontological foundations taken by Bazaluk as the basis of his research and constructions. The author of the article raises the questions why the author of the book took the project of Plato as a basis, who began to doubt it even in antiquity, and also whether knowledge of the cosmos and its evolution can help in building a good society and sociality, as well as make a person happy. Special attention is paid to the issue of Bazaluk’s reconstruction of the evolution of the cosmos and the support of the discursive thinking of education on the knowledge and results obtained in this reconstruction. A number of questions and problems are discussed here: what the author of the book understands by education, what are the features of his reconstruction of the evolution of the cosmos, if it is possible to deepen his understanding of the basic reality (matter) in the direction of taking into account not only the first nature, but also the second. Evaluating the book, the author of the article proceeds from the understanding of Bazaluk’s work as a tradition and discourse that implements at least three principles: Plato himself, Russian cosmism, and the cognitive approach, which is popular nowadays. The author of the article understands his response as a benevolent discussion of the book, calling on other readers to do the same.

Is It Still Possible to Save Russian Economic Science and Education?
Khanin Grigory
DOI: 10.17212/2075-0862-2022-14.2.1-131-148

The article shows the causes and consequences of the deplorable state of the Russian economic science and higher economic education. They are rooted, first of all, in the persecution to which economics was subjected in Soviet times, especially during the Stalinist period. As a result, it lost the most talented scientists. There was no need for good economists in the command economy, so higher economic education had low prestige. In the post-Soviet period, due to the transition to a market economy, the need for economists to work in government institutions and commercial structures increased. However, it turned out that the current system of higher economic education is unable to satisfy it. The author shows negative consequences of a low level of economic education for solving national economic problems and managing companies. The low level of economic science did not allow economists to justify an effective transition to a market economy, taking into account the peculiarities of the Soviet economy and Russian history. In the post-Soviet period, the political leadership focused only on economists loyal to the government, without taking into account their professionalism.

The author proposes the ways of improving the quality of economic science and higher economic education. The emphasis is on a sharp reduction in the number of researchers and teaching staff (and a reduction in the number of students), with a simultaneous significant increase in the remuneration of researchers and teachers basing on objective criteria for evaluating their activities. This will allow democratizing the management of universities and scientific institutions, abolishing bureaucratic control over their activities.