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439Information and computation: Essays on scientific and philosophical understanding of foundations of information and computation (edited book)World Scientific. 2011.Information is a basic structure of the world, while computation is a process of the dynamic change of information. This book provides a cutting-edge view of world's leading authorities in fields where information and computation play a central role. It sketches the contours of the future landscape for the development of our understanding of information and computation, their mutual relationship and the role in cognition, informatics, biology, artificial intelligence, and information technology.…Read more
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65Scientific problems and questions from a logical point of viewSynthese 100 (1). 1994.Scientific knowledge systems function as effective and specialized apparatus for formulating, analyzing and solving scientific problems. In science, problems become internal parts of the knowledge systems; thus they acquire new forms and properties in comparison with common-sense problems. Definite theoretical structures connected with problems and questions appear in the theory. Among them are erotetic expressions and languages, calculi and algebras of problems. On the basis of the structure-no…Read more
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33Operators in Nature, Science, Technology, and Society: Mathematical, Logical, and Philosophical IssuesPhilosophies 2 (3): 21. 2017.The concept of an operator is used in a variety of practical and theoretical areas. Operators, as both conceptual and physical entities, are found throughout the world as subsystems in nature, the human mind, and the manmade world. Operators, and what they operate, i.e., their substrates, targets, or operands, have a wide variety of forms, functions, and properties. Operators have explicit philosophical significance. On the one hand, they represent important ontological issues of reality. On the…Read more
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14Seven Layers of Computation: Methodological Analysis and Mathematical ModelingFilozofia i Nauka 10 11-32. 2022.We live in an information society where the usage, creation, distribution, manipulation, and integration of information is a significant activity. Computations allow us to process information from various sources in various forms and use the derived knowledge in improving efficiency and resilience in our interactions with each other and with our environment. The general theory of information tells us that information to knowledge is as energy is to matter. Energy has the potential to create or m…Read more
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6An Approach to Building Quantum Field Theory Based on Non-Diophantine ArithmeticsFoundations of Science 1-26. forthcoming.The problem of infinities in quantum field theory (QFT) is a longstanding problem in particle physics. To solve this problem, different renormalization techniques have been suggested but the problem persists. Here we suggest another approach to the elimination of infinities in QFT, which is based on non-Diophantine arithmetics – a novel mathematical area that already found useful applications in physics, psychology, and other areas. To achieve this goal, new non-Diophantine arithmetics are const…Read more
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4Theory of knowledge: structures and processesWorld Scientific. 2016.This book aims to synthesize different directions in knowledge studies into a unified theory of knowledge and knowledge processes. It explicates important relations between knowledge and information. It provides the readers with understanding of the essence and structure of knowledge, explicating operations and process that are based on knowledge and vital for society. The book also highlights how the theory of knowledge paves the way for more advanced design and utilization of computers and net…Read more
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2Seven Layers of Computation: Methodological Analysis and Mathematical ModelingFilozofia i Nauka. Studia Filozoficzne I Interdyscyplinarne 10 11-32. 2022.We live in an information society where the usage, creation, distribution, manipulation, and integration of information is a significant activity. Computations allow us to process information from various sources in various forms and use the derived knowledge in improving efficiency and resilience in our interactions with each other and with our environment. The general theory of information tells us that information to knowledge is as energy is to matter. Energy has the potential to create or m…Read more
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Ideas of Plato in the Context of Contemporary Science and MathematicsAthens Journal of Humanities and Arts 4 161-182. 2017.For millennia, the enigma of the world of Ideas or Forms, which Plato suggested and advocated, has been challenging the most prominent thinkers of the humankind. This paper presents a solution to this problem, namely, that an Idea in the Platoʼs sense can be interpreted as a scientific object called a structure. To validate this statement, this paper provides rigorous definition of a structure and demonstrates that structures have the basic properties of Platoʼs Ideas. In addition, we descri…Read more
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Strukturno-nominatyvnyĭ napri︠a︡m u metodolohiï nauky: kataloh knyz︠h︡kovoï vystavkyNat︠s︡ionalʹna biblioteka Ukraïny im. V.I. Vernadsʹkoho. 1996.