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  1.  25
    Operators in Nature, Science, Technology, and Society: Mathematical, Logical, and Philosophical Issues.Mark Burgin & Joseph Brenner - 2017 - Philosophies 2 (3):21.
    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 other hand, epistemological operators form (...)
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  2.  62
    Scientific Problems and Questions From a Logical Point of View.Mark Burgin & Vladimir Kuznetsov - 1994 - Synthese 100 (1):1 - 28.
    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-nominative reconstruction of a theory, the unified treatment of these structures is given. Methods (...)
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  3. Information and Computation: Essays on Scientific and Philosophical Understanding of Foundations of Information and Computation.Gordana Dodig Crnkovic & Mark Burgin (eds.) - 2011 - World Scientific.
    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. -/- This book is an utterly enjoyable and engaging (...)
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  4.  9
    Seven Layers of Computation: Methodological Analysis and Mathematical Modeling.Mark Burgin & Rao Mikkililineni - 2022 - Filozofia i Nauka 10:11-32.
    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 modify material structures and information (...)
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  5.  90
    From the Closed Classical Algorithmic Universe to an Open World of Algorithmic Constellations.Mark Burgin & Gordana Dodig-Crnkovic - 2013 - In Gordana Dodig-Crnkovic Raffaela Giovagnoli (ed.), Computing Nature. pp. 241--253.
    In this paper we analyze methodological and philosophical implications of algorithmic aspects of unconventional computation. At first, we describe how the classical algorithmic universe developed and analyze why it became closed in the conventional approach to computation. Then we explain how new models of algorithms turned the classical closed algorithmic universe into the open world of algorithmic constellations, allowing higher flexibility and expressive power, supporting constructivism and creativity in mathematical modeling. As Goedels undecidability theorems demonstrate, the closed algorithmic universe restricts (...)
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  6. Ideas of Plato in the Context of Contemporary Science and Mathematics.Mark Burgin - 2017 - Athens Journal of Humanities and Arts 4:161-182.
    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 describe the world (...)
     
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  7. Information Studies and the Quest for Transdisciplinarity.Mark Burgin & Wolfgang Hoflkirchner (eds.) - 2017 - New York, USA: World Scientific.
     
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  8.  1
    Seven Layers of Computation: Methodological Analysis and Mathematical Modeling.Mark Burgin & Rao Mikkililineni - 2022 - Filozofia i Nauka. Studia Filozoficzne I Interdyscyplinarne 10:11-32.
    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 modify material structures and information (...)
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  9.  14
    Metaphor as an Exact Concept in the Theory of Properties.Mark Burgin & Denijel Rotbart - 1998 - Theoria 41 (2):91-103.
  10.  15
    Three Levels of the Symbolosphere.Mark Burgin & John H. Schumann - 2006 - Semiotica 2006 (160):185-202.
  11. Model Part of a Scientific Theory.Mark Burgin & Vladimir Kuznetsov - 1992 - Epistemologia 15 (1):98-125.