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The paper enters contemporary discourse concerning the examination of history of Russian philosophy, which initiates a new reading of the Russian thinkers’ works. These contemporary examinations problematize the phenomenon of so called intellectual doubles as well. The contribution proceeds from the definition of these issues which was published in journal Problems of Philosophy (Voprosy filosofii) by M. A. Maslin in 2013. In this work, Maslin mentions A. I. Herzen among the examples of intellectual doubles phenomenon, who is one of the founders of the Russian Narodism. Following from this basis, the contribution shifts an attention toward issues of intellectual doubles in the context of the Russian Narodism. The work represents an endeavour to deepen the existing problematization of this phenomenon on the basis of examination the N. K. Mikhailovsky’s creative legacy. There can be found two faces in works of this Narodnik thinker. The first one can be figuratively designed as a Petersburgian and the second one as a Yaltian. These designations are borrowed from the notes of Sergey Elpatevsky, who had been Mikhailovsky’s friend. The two faces express the specificity of the problem of doubleness in Mikhailovsky and his qualitative shift in relation to contemporary examinations of the reflected phenomenon.

This article deals with the connection between the anthroposophical practice of meditation and the concept of self-conscious soul, which is developed in the main theoretical work of Andrei Bely, “The History of the Becoming of Self-conscious Soul.” After a brief review of the esoteric practice, in which Bely was introduced by Rudolf Steiner in the years 1912-1914, it examines the topography of the meditative space, according to the descriptions given by Bely in the “Krizisy”. Relevant sources of Steiner on the higher stages of knowledge are involved, from which the concept of Bely differs in a few points. It is considered, how the inner experience of Bely is reflected in the cognitive principles of the self-conscious soul, which he understands as a reflection of the higher cognitive abilities at the lower level of the soul. It is shown, that the cognitive principles of the self-conscious soul, which Bely names “composition of space”, “theme in the variations of time” and “symbol”, are a synthesis of the esoteric practice of Bely with his early reception of the critical philosophy of Kant. He fuses them into a gradational model of multi-stage deepening of knowledge into the construction of the universe and the human cultural evolution. This process is carried out with the creative participation of the cognizing subject and culminates in his deification.

The article explores the informal side of the idea of the proof. The word "idea" is used in a sense dating back to Plato. Proof is understood as a precisely established connection of precisely formulated and objectively existing ideas. This connection of ideas belongs to the realm of the possible and can be present in some possible worlds and absent in others. Attempts to interpret the proof as a procedure of convincing argumentation are criticized. It is shown that the proof is not necessarily convincing, and that persuasiveness may be inherent outside the proof-based forms of argument. The genesis of the idea of the proof is briefly traced from its origins to the present day. Arguments are made in favor of the thesis of the idea of the proof in Pythagorean philosophy. The question of why the idea of the proof has not been rediscovered anywhere and never is discussed. The problem of the time gap between the appearance of the proof and the exact definition of the concept of the proof in modern logic is considered. An accessible example substantiates the inseparability of the idea of the proof from its formal presentation in one or another logic. A list of some basic informal predicates of the proof is given and a brief description is given.

The article analyzes ontological possibilities of the meaning of information setting. For this, a modern approach of information technologies is considered in relation to setting the meaning of textual information. At the same time, the problem of setting the meaning of number and the meaning of word (text) is formulated, which is discussed from the perspective of an ontological approach based on the solution of the problem of being, where the ontology of semantics is the result of such a solution. As the ontology itself, a relational ontology is chosen, the initial position of which is the thesis: “to be” means “to be distinctive”. Based on this, information is defined as the result of ontological distinction, which allows mathematical formalization through the operation of subtraction, which expresses the essence of ontological distinction. This in turn allows to build constantly a numerical order of the meanings of any information, including textual, while the meaning of the information is its place in such a numerical range. Such a method, called Relational method, leads to an exact numerical specification of the meaning of any information, and by dignity of this numerical form, the meanings of any information can be easily input into a computer with subsequent processing and operation of these senses.

Today, the dialogue is regarded as a basis for cultural being, while the dialogue of cultures has become a key notion in modern philosophical thinking. The concept of dialogue has been transformed over the past century, acquiring new meanings and changing its internal content from understanding it as an ordinary exchange of information to a complex creative interaction and mutual influence of different cultural and value consciousnesses. Not only different personalities, but entire ethnoses, cultures, and civilizations may become subjects of the dialogue, thus increasing the dialogue functionality up to the means of developing inter-cultural, inter-ethnic and inter-civilizational relations and accentuating commonality of the global historic process and cultural heritage of mankind. Appearing as a form of interpersonal relations in the ontology of M. Buber, who was one of the first to focus on the transition of relations from "subject-object" to "subject-subject", the concept of "dialogue" has become an important philosophical concept throughout the mid-XX century. Brand new turn of development of the theory of dialogue, and the entire human culture in General, was due to the concept of Semiosphere Yu.М. Lotman. The article deals with genesis of the philosophical concept of the dialogue between cultures in the 20th century. The focus is on its emergence - in the early 20th century - in M. Buber's theological concept and at the highest point of its development in Yu. M. Lotman’s semiotic philosophy.

In the present article the author studies and reviews the essential scientific opinions and discourse on the understanding of the term and phenomena of Cybernetics. The article is the author's vision of the concept of cybernetic epistemology based on its progressive methodological features. The main idea of the understanding of the information warfare category as a complex social system (society) in the context of cybernetic epistemology is also developed in the present research. The concept of complexity theory has not yet been applied in the study of ontological characteristics of the "information warfare" phenomenon so far. This kind of analyzing method allows us to highlight the true essential characteristics of "information warfare". There are recursiveness and spontaneous nature among them. This kind of epistemology methods and their possible and proper application in Cybernetics were analyzed and reviewed in the present paper. Such an analyzing confirmed the relevance of this research for the formalization of the world’s complex phenomena. It also determined the possibility of constructive generalization of knowledge and research data. However, this knowledge should be gained in the process of complex formalization of the studied phenomena characteristics (ontology) and the maximum permissible changes and transformation in their conditions and forms.

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