Zagadochnyĭ starik.--T︠S︡iolkovskiĭ v Peterburge.

В прил.: Простые математические модели динамики коллективной деятельности / Л. Е. Попов, М. И. Слободской. Мозг и обучение / Б. И. Вершинин.

Gödel logic is the extension of intuitionistic logic by the linearity axiom. Symmetric Gödel logic is a logical system, the language of which is an enrichment of the language of Gödel logic with their dual logical connectives. Symmetric Gödel logic is the extension of symmetric intuitionistic logic. The proof-intuitionistic calculus, the language of which is an enrichment of the language of intuitionistic logic by modal operator was investigated by Kuznetsov and Muravitsky. Bimodal symmetric Gödel logic is a logical system, the (...) language of which is an enrichment of the language of Gödel logic with their dual logical connectives and two modal operators. Bimodal symmetric Gödel logic is embedded into an extension of Gödel–Löb logic, the language of which contains disjunction, conjunction, negation and two modal operators. The variety of bimodal symmetric Gödel algebras, that represent the algebraic counterparts of bimodal symmetric Gödel logic, is investigated. Description of free algebras and characterization of projective algebras in the variety of bimodal symmetric Gödel algebras is given. All finitely generated projective bimodal symmetric Gödel algebras are infinite, while finitely generated projective symmetric Gödel algebras are finite. (shrink)

The article is devoted to the philosophical views of Swami Vivekananda, reflected in his commentary on the Yoga Sutras of Patanjali. The text under study is one of the few Indian commentaries on the Yoga Sutras translated into Russian. The object of the study is a widespread translation of the commentary, made and published by Ya. K. Popov in 1906. The popularity of yoga as a health-improving practice increases interest in its spiritual component, therefore, the study of Vivekananda's commentary on (...) the Yoga Sutras seems to be an urgent task. The purpose of this article is to analyze Vivekananda's commentary for the authenticity of the transmission of the content of the ancient text and the reflection of the teachings of the Bengali thinker. Since Vivekananda's commentary on the Yoga Sutras has not been studied by domestic orientalists, and has not received comprehensive coverage in foreign studies, the results of his analysis contain scientific novelty. Using the hermeneutical method, it is revealed that the philosopher forms a commentary on the ancient text mainly to demonstrate the basics of his teaching. Vivekananda's work expresses his Orient-centric position, as well as the author's beliefs in accordance with the provisions of yoga to his contemporary science. Since the philosopher's views are in line with Advaita Vedanta, the ontological foundations of yoga are interpreted by him according to this philosophical school. The commentary of the late XIX century anticipates modern ideas of the healing potential of yoga and the superiority of experienced knowledge of the Divine, and also demonstrates the predictive talent of the Bengali thinker. (shrink)

The study offers an overview of philosophical currents formed under the influence of Kant’s critical philosophy. Such directions of Kantianism as German Idealism represented by F. Jacobi, Neo-Kantianism represented by E. Cassirer and A. Riehl, ontological interpretation of Kant’s theory by M. Heidegger and analytical tradition of Neo-Kantianism represented by J. McDowell are considered in detail. These examples demonstrate different approaches to understanding Kant which have been developed throughout history. Among them, one can identify the epistemological approach that views Kant’s (...) theoretical philosophy as a theory of knowledge and, above all, as a theory of experience. It can be contrasted with various metaphysical approaches developed against the background of an idealistic reading of the Critique of Pure Reason. From time to time, realistic interpretations of Kant’s theory of experience that try to avoid ontological dualism concerning the relation between “appearance” and “thing in itself” have arisen, which seem adequate to its spirit and letter. Within the analytic Kantian paradigm, a whole spectrum of interpretations of Kant’s concept of experience has emerged, for which the stumbling blocks are, above all, Kant’s theory on the cognitive faculties - sensibility and understanding, the deduction of categories and the transcendental unity of apperception. In the first case, the main issue is the question of the cooperation of cognitive faculties in the process of experience formation, which still causes difficulties for researchers; in the second case, the question of the role of non-discursive and discursive concepts in this process; in the third case, the question of the relationship of apperception, consciousness and self-consciousness and their functions in cognition. The study shows that all these questions still await their final resolution. The study is in fact an introduction to the block devoted to the reception of Kant’s Critique of Pure Reason in connection with the approaching anniversary of the philosopher. (shrink)

Review of the book Nemchinov, I. (2019). Malinin / Malinin: Reconstruction of the "lost biography" of Kiev professor. Vinnitsa: FOP Baranovskaya TP.

Representations of monadic MV -algebra, the characterization of locally finite monadic MV -algebras, with axiomatization of them, definability of non-trivial monadic operators on finitely generated free MV -algebras are given. Moreover, it is shown that finitely generated m-relatively complete subalgebra of finitely generated free MV -algebra is projective.

We define and study monadic MV-algebras as pairs of MV-algebras one of which is a special case of relatively complete subalgebra named m-relatively complete. An m-relatively complete subalgebra determines a unique monadic operator. A necessary and sufficient condition is given for a subalgebra to be m-relatively complete. A description of the free cyclic monadic MV-algebra is also given.

A description of the free cyclic algebra over the variety of Solovay algebras, as well as over its pyramid locally finite subvarieties is given.

The MV-algebra S m w is obtained from the (m+1)-valued ukasiewicz chain by adding infinitesimals, in the same way as Chang's algebra is obtained from the two-valued chain. These algebras were introduced by Komori in his study of varieties of MV-algebras. In this paper we describe the finitely generated totally ordered algebras in the variety MV m w generated by S m w . This yields an easy description of the free MV m w -algebras over one generator. We characterize (...) the automorphism groups of the free MV-algebras over finitely many generators. (shrink)

This article is a historical foray into participation of the Ural and the Chelyabinsk regions in the World Expos in the context of cross-cultural communication, in which the interaction between the exhibiting countries on the global questions of modernity takes place through the dialogue of cultures. In the broad sense, exhibition first and foremost is a significant attribute of culture and cultural life of a particular environment, and form of distribution of culture. The scientific literature features the following definition: “…exhibitions (...) are the key presentation instrument of cultural policy of the country”. The real scientific achievements are concentrated in a single space. Each exhibition promotes different cultural traditions and contributes to the enrichment of cultures. As pertains to the participation of Ural, it is too early to speak of the full-fledged participation in the dialogue of cultures at World Expos; however, the region has made decent steps towards it. There is no doubt that the World Expo is an remarkable international event. Each host country makes every effort to ensure an immense scale of the event, attract wide audience of visitors and exhibitors. Therefore, the exhibition should be viewed from the global perspective. (shrink)

Philosophy after Hiroshima offers a philosophical analysis of the issues surrounding war and peace, and their challenges to ethics. It reminds us that the threat posed to civilization by nuclear weapons persists, as does the need for continuing philosophical reflection on the nature of war, the problem of violence, and the need for a workable ethics in the nuclear age. The book recalls the atomic bombings of Hiroshima and Nagasaki as the beginning of the nuclear age, the Cold War, and (...) subsequently of the hegemonic unilateralism of the sole superpower. Reviewing early critical responses to the first atomic bombings by such figures as Camus, Sartre, Russell, Heidegger, Jaspers and others, the authors themselves respond to contemporary threats to peace, including the US "global war on terrorism," the recrudescence of militarism, and the continuation of imperial power politics by other means. In the nuclear age, the use of military force as a political instrument threatens the future of humanity. This poses formidable challenges to philosophy and calls for its transformation. In using memories of the atomic bombings to help us to grasp the moral implications of the current escalation of global violence, the authors hope to show the urgent relevance of nonviolence in the contemporary context. Drawing on a range of philosophical traditions Taoist and Western the contributors take up a welter of philosophical and political concerns of topical interest, including human rights, toleration, the politics of memory, intercultural dialogue, the ethics of co-responsibility, and the possibility of a cosmopolitan order of law and peace. Going beyond postmodernism and deconstruction, several of the authors develop a post-critical, constructive paradigm of thinking a philosophy of the possible and a new methodology for the realization of the creative potential of the humanities. Philosophy is viewed as a peace-promoting global dialogue. (shrink)

We prove that the m -generated free MV-algebra is isomorphic to a quotient of the disjoint union of all the m -generated free MV-algebras. Such a quotient can be seen as the direct limit of a system consisting of all free MV-algebras and special maps between them as morphisms.