Results for 'Andrey A. Koryakovtsev'

952 found
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  1.  21
    (1 other version)The ambiguous type theory is hereditarily undecidable.Andrey A. Kuzichev - 1992 - Mathematical Logic Quarterly 38 (1):299-300.
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  2.  20
    (1 other version)A Theory of Ambiguous Types and Its Axiomatizations.Andrey A. Kuzichev - 1989 - Mathematical Logic Quarterly 35 (6):495-514.
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  3.  2
    Technoscientific Journals Publishing Practice and Problems of Philosophy of Science.Andrey A. Vorobyev - 2024 - Epistemology and Philosophy of Science 61 (4):60-67.
    M.I. Mikeshin’s article continues to develop existing works in the epistemology of technoscience, presented on the Gornyi Zhurnal Journal pages as part of an informal “project”. The purpose of the “project” was to discover points of real interaction between technical scientists (mining and, partly, metallurgical sciences) and academic philosophy. Therefore, it is advisable to present in chronological order published research carried out outside philosophical institutions and professional epistemological periodicals.
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  4.  28
    The Problem of the Typology of Rationality in Muslim Culture.Andrey A. Lukashev - 2019 - Russian Journal of Philosophical Sciences 62 (6):88-99.
    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 (...)
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  5.  24
    (1 other version)Elimination of quantifiers over vectors in some theories of vector spaces.Andrey A. Kuzichev - 1992 - Mathematical Logic Quarterly 38 (1):575-577.
    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.
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  6.  21
    The Dao through the Prism of the Logos: Eurocentrism at the Level of Concepts.Andrey A. Krushinskiy - 2019 - Russian Journal of Philosophical Sciences 62 (6):33-53.
    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 (...)
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  7.  11
    McTaggart: Reality in Idealism.Andrey A. Veretennikov - 2019 - Epistemology and Philosophy of Science 56 (2):203-210.
    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 (...)
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  8.  14
    Fungus Development and Reactive Oxygen: Phytopathological Aspects.Andrey A. Aver’Yanov, Tatiana A. Belozerskaya & Natalia N. Gessler - 2012 - In Guenther Witzany (ed.), Biocommunication of Fungi. Dordrecht: Springer. pp. 261--271.
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  9.  16
    Analytical Truths in R. Carnap’s Theory and in Natural Language.Petr S. Kusliy & Andrey A. Veretennikov - 2024 - Epistemology and Philosophy of Science 61 (1):184-201.
    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 (...)
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  10.  61
    Global chaotic parameters of heart rate variability during mental task.Anne M. G. Fontes, David M. Garner, Luiz Carlos De Abreu, Juliana C. Barbosa, Elisangela Vilar De Assis, Ana Cecília A. De Souza, Andrey A. Porto & Vitor E. Valenti - 2016 - Complexity 21 (5):300-307.
  11. Simvolizm kak miroponimanie.Andrey Bely & L. A. Sugai - 1994 - Moskva: Izd-vo "Respublika,".
     
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  12.  29
    The Cognitive Philosophy of Communication.Trond A. Tjøstheim, Andreas Stephens, Andrey Anikin & Arthur Schwaninger - 2020 - Philosophies 5 (4):39.
    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 (...)
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  13.  41
    Possible Mechanisms Underlying the Therapeutic Effects of Transcranial Magnetic Stimulation.Alexander V. Chervyakov, Andrey Yu Chernyavsky, Dmitry O. Sinitsyn & Michael A. Piradov - 2015 - Frontiers in Human Neuroscience 9.
  14.  24
    A “Big Culture” and Cogito.Andrey V. Smirnov - 2021 - Russian Studies in Philosophy 58 (6):457-466.
    The Cartesian cogito ergo sum is a major milestone for modern European philosophy, which shaped its mainstream for centuries. This dictum states that consciousness is the only reliable object of in...
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  15.  23
    F.M. Dostoevsky on the Reasons for "Remarkable Dislike" Europe to Russia.Aleksey A. Lagunov & Andrey Yu Smirnov - 2021 - RUDN Journal of Philosophy 25 (1):25-33.
    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 (...)
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  16.  21
    Transfer of Foreign Ideas to the Philosophical Culture of Belarus in the 19th and 20th Centuries.Anatoly A. Liahchylin & Andrey Y. Dudchik - 2020 - Russian Journal of Philosophical Sciences 63 (10):88-102.
    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 (...)
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  17. Social Macroevolution: Growth of the World System Integrity and a System of Phase Transitions.Andrey Korotayev & Leonid Grinin - 2009 - World Futures 65 (7):477-506.
    There are very significant conceptual links between theories of social macroevolution and theories of the World System development. It is shown that the growth of the World System complexity and integrity can be traced through a system of phase transitions of macroevolution. The first set of phase transition is connected with the agrarian, industrial, and information-scientific revolutions (that are interpreted as changes of “production principles”). The second set consists of phase transitions within one production principle. These phase transitions are analyzed (...)
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  18.  21
    A Simpleminded Discourse on Enfolding and Unfolding.Andrey V. Smirnov - 2021 - Russian Studies in Philosophy 58 (6):467-490.
    The paradigm of enfolded-unfolded introduced by Nicolas of Cusa, poses a puzzling question: why and how are the enfolded and unfolded equal to itself and to each other (coi...
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  19.  80
    Toward incorporating emotions with rationality into a communicative virtual agent.Andrey Kiselev, Benjamin Alexander Hacker, Thomas Wankerl, Niyaz Abdikeev & Toyoaki Nishida - 2011 - AI and Society 26 (3):275-289.
    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 (...)
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  20.  47
    Construction of national identity through a social network: a case study of ethnic networks of immigrants to Russia from Central Asia.Andrey P. Glukhov - 2017 - AI and Society 32 (1):101-108.
  21.  11
    Forecasting Stock Prices of Companies Producing Solar Panels Using Machine Learning Methods.Zaffar A. Shaikh, Andrey Kraikin, Alexey Mikhaylov & Gabor Pinter - 2022 - Complexity 2022:1-9.
    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 (...)
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  22.  25
    Classical Eurasianism as a Post-Revolutionary Philosophy.Andrey V. Smirnov - 2021 - Russian Studies in Philosophy 58 (6):522-534.
    Classical Eurasianism is a multifaceted set of teachings centered around ideas introduced by Nikolai S. Trubetskoy. Out of...
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  23.  12
    New Aeroion Model of a Dangerous Natural Phenomenon—Ball Lightning.Simakov Andrey - 2024 - Open Journal of Philosophy 14 (2):374-382.
    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, (...)
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  24.  37
    Ideology, semiotics, and Clifford Geertz: Some Russian reflections.Andrey Zorin - 2001 - History and Theory 40 (1):57–73.
    This article, written by a Russian cultural historian, analyzes the concept of "ideology" in the work of Clifford Geertz. and his role in understanding the figurative nature of ideology as a cultural system. The author compares Geertz's semiotic approach to culture with thesemiotics of culture developed by Russian theorists, particularly Yuri Lotman, showing the convergence and divergence of the two differentnational traditions. This understanding of the nature and functions of ideology opens new possibilities for discussing the tortured relations of ideology (...)
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  25.  36
    Kant and the New Enlightenment: On the Balance between Duty and Utilitarian Ends.Andrey S. Zilber - 2023 - Kantian Journal 42 (2):40-67.
    The relation between Kant’s philosophy and the “philosophy of balance” as it is described in the report Come on! Capitalism, Short-termism, Population and the Destruction of the Planet, delivered to the Club of Rome in 2018, requires some analysis. The authors of the report consider Kant to be a philosopher of European Enlightenment which laid the foundations of the modern world, but also proved to be the source of global problems. The report characterises the philosophy of the Enlightenment as lop-sided (...)
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  26.  37
    Long‐distance signal transfer in transcriptionally active chromatin – how does it occur?Andrey N. Luchnik - 1985 - Bioessays 3 (6):249-252.
    Gene transcription in eukaryotes is associated with conformational changes of a large area of chromatin adjacent to a gene. This rearrangement may involve the whole loop (topological domain) to which a given gene belongs.Regulatory events associated with activation or inactivation of transcription are found to act through relatively short nucleotide sequences, often located several thousand base pairs apart from gene. These sequences, termed enhancers may act independently on their distance from or orientation with respect to the gene.Both long‐range conformational rearrangements (...)
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  27.  18
    Truth and Islamic Thought.Andrey Smirnov - 1991 - In Eliot Deutsch & Ronald Bontekoe (eds.), A Companion to World Philosophies. Malden, Mass.: Wiley-Blackwell. pp. 435–447.
    The problem of truth was raised in medieval Islamic philosophy within the framework of discussions starting from the question of whether our knowledge corresponds to the “actuality of affairs.” The notion of validity thus elaborated was comprehended as a quality of knowledge established through a comparison with “matters of fact.” What was intended is not coincidence with what is and has existence. Existence (wujūd) was generally understood in Islamic thought as one of the attributes (ṣifa) that a thing might or (...)
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  28.  29
    Philosophical Essence of Poincare-Perelman Theorem and the Problem of Global Structure of Universe.Andrey V. Dakhin - 2008 - Proceedings of the Xxii World Congress of Philosophy 44:11-23.
    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 (...)
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  29.  27
    The Finer Points of a Culture’s Thought.Andrey V. Smirnov - 2018 - Russian Studies in Philosophy 56 (3):153-155.
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  30.  10
    "Science cannot be stopped!" XLI Zografski reading: the problem of interpretation of traditional Indian tex.Ruzana V. Pskhu, Andrey V. Paribok & Alexander A. Dekabrsky - 2021 - RUDN Journal of Philosophy 25 (1):179-187.
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  31. History & Mathematics: Political Demography and Global Ageing.Leonid Grinin, Jack A. Goldstone & Andrey V. Korotayev (eds.) - 2015 - Uchitel Publishing House.
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  32.  30
    Weighing the moral worth of altruistic actions: A discrepancy between moral evaluations and prescriptive judgments.Inna F. Deviatko & Andrey Bykov - 2022 - Philosophical Psychology 35 (1):95-121.
    In this article, we consider the problem of a discrepancy between, on the one hand, lay prescriptive judgments on the necessity of altruistic actions and, on the other, attributing moral worth to these actions. Based on Kantian theory of morality, we hypothesized that lay attributions of the moral worth of altruistic actions would be inversely related to normative ought-judgments according to which these actions should be performed, as having positive evolutionary-based utilitarian externalities for the actors. To test this general hypothesis, (...)
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  33.  57
    The effects of issue characteristics on the recognition of moral issues.Andrey Chia & Swee Mee Lim - 2000 - Journal of Business Ethics 27 (3):255-269.
    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 (...)
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  34.  35
    A Malady of the Left and an Ethics of Communism.Andrey Gordienko - 2021 - Sartre Studies International 27 (1):99-128.
    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 (...)
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  35. Resplendent models and $${\Sigma_1^1}$$ -definability with an oracle.Andrey Bovykin - 2008 - Archive for Mathematical Logic 47 (6):607-623.
    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 (...)
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  36.  70
    A Mathematical Model of Juglar Cycles and the Current Global Crisis.Leonid Grinin, Andrey Korotayev & Sergey Malkov - 2010 - In Leonid Grinin, Peter Herrmann, Andrey Korotayev & Arno Tausch (eds.), History & Mathematics: Processes and Models of Global Dynamics.
    The article presents a verbal and mathematical model of medium-term business cycles (with a characteristic period of 7–11 years) known as Juglar cycles. The model takes into account a number of approaches to the analysis of such cycles; in the meantime it also takes into account some of the authors' own generalizations and additions that are important for understanding the internal logic of the cycle, its variability and its peculiarities in the present-time conditions. The authors argue that the most important (...)
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  37.  28
    Hawkins, Jeff. 2021. A Thousand Brains: A New Theory of Intelligence.Andrey Vyshedskiy - 2022 - Evolutionary Studies in Imaginative Culture 6 (1):111-114.
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  38.  41
    A Sociological Perspective on Meaningful Work: Community versus Autonomy.Andrey Bykov - 2024 - Business Ethics Quarterly 34 (3):409-439.
    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 (...)
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  39.  40
    Numerus as the Metaphysical Principle in St. Augustine’s Doctrine of Rhythm.Andrey Tashchian - 2014 - Laval Théologique et Philosophique 70 (2):331-342.
    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 (...)
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  40.  34
    Kant’s Ethics in the Context of the Enlightenment. Report of the 12th Kant Readings Conference.Nina A. Dmitrieva, Andrey S. Zilber, Vadim A. Chaly, Alexander S. Kiselev & Polina R. Bonadyseva - 2019 - Kantian Journal 38 (4):101-118.
    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 (...)
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  41.  10
    Stratagem Rationality of Traditional China.Andrey Krushinskiy - 2018 - Russian Journal of Philosophical Sciences 7:38-50.
    For a long time, leading European thinkers have denied systematic, theoretical and rational nature of Chinese traditional thinking, unpretentiously reading it as banal moralizing, not supported by any proper philosophical discourse. However, the habitual socioethical label conceals a much deeper problematic of strategic thinking. At its center, there is the question of choosing all sorts of strategies: from everyday life to special technical ones, from personal existential choice to fateful state decisions. The concept of a winning strategy is emblematized by (...)
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  42.  18
    Progress of Science.Andrey I. Mikhailov - 2023 - Epistemology and Philosophy of Science 60 (2):50-57.
    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 (...)
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  43.  32
    Complexity of a Microblogging Social Network in the Framework of Modern Nonlinear Science.Andrey Dmitriev, Vasily Kornilov & Svetlana Maltseva - 2018 - Complexity 2018:1-11.
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  44.  10
    Philosophy of Social Intercourse and Artificial Intelligence.Andrey V. Rezaev & Natalia D. Tregubova - 2024 - Epistemology and Philosophy of Science 61 (2):134-156.
    The paper aims to analyze three discussions pertaining to the artificial intelligence project that took place on both sides of the “Iron Curtain” since the 1960s: 1) E.V. Ilyenkov – D.I. Dubrovsky (USSR), 2) H. Dreyfus – computer scientists (USA), 3) H. Dreyfus – H. Collins (USA – UK). The authors observe the originality of the arguments of Soviet philosophers in comparison with the discussions in the US and UK. The basis for a comparative analysis of these discussions is the (...)
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  45.  7
    An Old Annex, Long since Unhabitable: The Critique of Practical Reason as an Offspring of Architectonic Classicism.Andrey K. Sudakov - 2022 - RUDN Journal of Philosophy 26 (3):623-643.
    The Critique of Practical Reason is traditionally regarded as one of Kant’s central works on practical philosophy. Its structural and stylistic parallels with the Critique of Pure Reason sustain one’s conviction about its fundamental systematic relevance in Kant’s ethics. Nevertheless, the compositional sketch of the system of critical philosophy in the first Critique does not presume any separate critique of reason in its practical use. This inspires to investigate the question of the sense and aim of the critique of practical (...)
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  46.  11
    Methodological issues of the research of the formation of computer graphics skills in bachelor students of art and pedagogical education.Andrey Viktorovich Korobanov & Aleksandra Vitalievna Chertkova - 2021 - Kant 38 (1):269-273.
    The purpose of the study is to identify the needs of bachelor students of various areas in the field of fine arts in the skills of mastering computer graphics and using its various types in professional activities. The Federal State Educational Standard in the areas of education, general and professional competencies associated with the possession of computer graphics, methods and techniques of work necessary for organizing a holistic process in this discipline are analyzed.
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  47.  5
    Subjective Wellbeing and Revolutionary Destabilization. A Quantitative Analysis.Andrey В. Korotayev, Jameelah Musieva, Vadim Ustyuzhanin & Leonid Grinin - 2003 - Sociology of Power 15 (3):57-94.
    The subjective well-being of the population — or the ‘level of happiness’ — is a popular topic for scientific research and socio-political discussions both domestically and internationally. In this regard, a direction of research is gaining traction; its proponents consider the level of happiness to be a predictor of the current socio-political stability. An analysis of the literature revealed that, despite the abundance of works on the topic of subjective wellbeing, its relationship with income — as well as with the (...)
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  48.  22
    On Cohesive Powers of Linear Orders.Rumen Dimitrov, Valentina Harizanov, Andrey Morozov, Paul Shafer, Alexandra A. Soskova & Stefan V. Vatev - 2023 - Journal of Symbolic Logic 88 (3):947-1004.
    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 + (...)
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  49.  34
    Artificial Intelligence and Artificial Sociality.Andrey V. Rezaev & Natalia D. Tregubova - 2019 - Epistemology and Philosophy of Science 56 (4):183-199.
    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 (...)
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  50.  27
    Increasing η ‐representable degrees.Andrey N. Frolov & Maxim V. Zubkov - 2009 - Mathematical Logic Quarterly 55 (6):633-636.
    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.
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