We study logical reduction (factorization) of relations into relations of lower arity by Boolean or relative products that come from applying conjunctions and existential quantifiers to predicates, i.e. by primitive positive formulas of predicate calculus. Our algebraic framework unifies natural joins and data dependencies of database theory and relational algebra of clone theory with the bond algebra of C.S. Peirce. We also offer new constructions of reductions, systematically study irreducible relations and reductions to them and introduce a new characteristic of (...) relations, ternarity, that measures their ‘complexity of relating’ and allows to refine reduction results. In particular, we refine Peirce’s controversial reduction thesis, and show that reducibility behaviour is dramatically different on finite and infinite domains. (shrink)

We argue that traditional formulations of the reduction thesis that tie it to privileged relational operations do not suffice for Peirce’s justification of the categories and invite the charge of gerrymandering to make it come out as true. We then develop a more robust invariant formulation of the thesis, one that is immune to that charge, by explicating the use of triads in any relational operations. The explication also allows us to track how Thirdness enters the structure of higher order (...) relations and even to propose a numerical measure of it. Our analysis reveals new conceptual phenomena when negation or disjunction are used to compound relations. (shrink)

Обсуждается широкий круг проблем взаимоотношения сознания и материи. Особое внимание уделено анализу структуры и свойств сознания в рамках информационной эволюции. А также – анализу роли специфических (невычислительных) свойств сознания в процедуре классических и квантовых измерений. В частности, подробно обсуждается вопрос о «клонировании» сознания (возможности копирования его свойств его на новый материальный носитель). Мы надеемся, что сформулированный нами обобщенный принцип дополнительности откроет новые пути для исследования проблем сознания в рамках фундаментальной физической картины мира.

The present paper discusses the problem of quantum-mechanical properties of a subject’s consciousness. The model of generalized economic measurements is used for the analysis. Two types of such measurements are analyzed – transactions and technologies. Algebraic ratios between the technology-type measurements allow making their analogy with slit experiments in physics. It has been shown that the description of results of such measurements is possible both in classical and in quantum formalism of calculation of probabilities. Thus, the quantum-mechanical formalism of the (...) description of states appears as a result of idealization of the selection mechanism in the proprietor's consciousness. (shrink)

The algebra of transactions as fundamental measurements is constructed on the basis of the analysis of their properties and represents an expansion of the Boolean algebra. The notion of the generalized economic measurements of the economic “quantity” and “quality” of objects of transactions is introduced. It has been shown that the vector space of economic states constructed on the basis of these measurements is relativistic. The laws of kinematics of economic objects in this space have been analyzed and the stages (...) of constructing the dynamics have been formulated. In particular, the “principle of maximum benefit”, which represents an economic analog of the principle of least action in the classical mechanics, and the principle of relativity as the principle of equality of all possible consumer preferences have been formulated. The notion of economic interval between two economic objects invariant to the selection of the vector of consumer preferences has been introduced. Methods of experimental verification of the principle of relativity in the space of economic states have been proposed. (shrink)

We propose an axiomatic approach to constructing the dynamics of systems, in which one the main elements 9e8 is the consciousness of a subject. The main axiom is the statements that the state of consciousness is completely determined by the results of measurements performed on it. In case of economic systems we propose to consider an offer of transaction as a fundamental measurement. Transactions with delayed choice, discussed in this paper, represent a logical generalization of incomplete transactions and allow for (...) a more rigorous approach to studying the properties of the algebra of economic measurements. Considering the behavior of an object as a sequence of actions and choices allows extending the obtained results to random systems, which include the subject's consciousness as one of its elements. The specifics, on which the description of fundamental measurements is based, allows easily transferring the formalism of Schwinger's theory of selective measurements (and the consequent quantum-mechanical formalism) to the economic and social systems. (shrink)

We give a new and elementary construction of primitive positive decomposition of higher arity relations into binary relations on finite domains. Such decompositions come up in applications to constraint satisfaction problems, clone theory and relational databases. The construction exploits functional completeness of 2-input functions in many-valued logic by interpreting relations as graphs of partially defined multivalued ‘functions’. The ‘functions’ are then composed from ordinary functions in the usual sense. The construction is computationally effective and relies on well-developed methods of functional (...) decomposition, but reduces relations only to ternary relations. An additional construction then decomposes ternary into binary relations, also effectively, by converting certain disjunctions into existential quantifications. The result gives a uniform proof of Peirce’s reduction thesis on finite domains, and shows that the graph of any Sheffer function composes all relations there. (shrink)

Wittgenstein's paradoxical theses that unproved propositions are meaningless, proofs form new concepts and rules, and contradictions are of limited concern, led to a variety of interpretations, most of them centered on rule-following skepticism. We argue, with the help of C. S. Peirce's distinction between corollarial and theorematic proofs, that his intuitions are better explained by resistance to what we call conceptual omniscience, treating meaning as fixed content specified in advance. We interpret the distinction in the context of modern epistemic logic (...) and semantic information theory, and show how removing conceptual omniscience helps resolve Wittgenstein's paradoxes and explain the puzzle of deduction, its ability to generate new knowledge and meaning. (shrink)

A wide range of problems of the relationship between consciousness and matter are discussed. Particular attention is paid to the analysis of the structure and properties of consciousness in the framework of information evolution. The role of specific (non-computational) properties of consciousness in the procedure of classical and quantum measurements is analyzed. In particular, the issue of "cloning" of consciousness (the possibility of copying its properties onto a new material carrier) is discussed in detail. We hope that the generalized principle (...) of complementarity formulated by us will open up new ways for studying the problems of consciousness within the framework of the fundamental physical picture of the world. (shrink)

The focus of this article is the global and European experience of the reception, assimilation, and social application of the Bible, reproduced in the works of a number of prominent Kyiv Theological Academy (KTA) representatives from the second half of the 19th and early 20th centuries. The analysis specifically covers the works of professors Stefan Solskyi, Kharysym Orda, Nikolai Drozdov, Afanasii Bulgakov, Mykola Makkaveiskyi, Vasylii Pevnytskyi, Arsenii Tsarevskyi, Volodymyr Rybinskyi, Dmytro Bohdashevskyi, and Aleksandr Glagolev. The author uses the metaphor of (...) the Biblical world to describe the historically developed spiritual and cultural component of the European world, for which the Bible played the role of a normative and symbolic core. Affiliation with the Biblical world — as a way of broad social application of the Bible and assimilation of the norms and public behaviors sanctioned by this text — was and still is a stable symbolic marker as well as a cultural and ideological factor of integration with European civilization. The historical panorama of the reception of Biblical knowledge and the inculturation of Biblical morality by Christianized nations, reproduced in the writings of Kyiv academics, is presented as a field of centuries-old intercultural contacts and active inter-confessional interaction, and as an important ideological and moral factor of the socio-political integration and development of civil society. The issues addressed by Biblical studies in Europe and the rest of the world and considerations and solutions prompted by these issues proved to be fruitful for both the academic research and public practices in which academics of the Kyiv Theological Academy were engaged. The past and modern foreign experience related to the inculturation of the Bible was interpreted by the Kyiv researchers in the local context, more specifically, in the modernization attempts of the 19th and early 20th centuries. Therefore, the reflection of European and worldwide experience, though not fully implemented, was productive and was a potential factor that could have contributed to the European modernization of Kyiv cultural and religious life of the time and its integration into the global Biblical World. (shrink)

У статті продемонстровано, як влада, що є ім’ям, яким називають, впливає на пластичність ґендеру. Ставлячи за мету дослідити перфомативність як чинник пластичності ґендерної ідентичності, автори здійснили спробу визначити спосіб творення носія ґендерної ідентичності. Значну увагу зосереджено на протиборстві наділення та усвідомлення влади, що типізує ієрархічність відносин статей, а не ґендерів. Останні є наслідком «капілярного» характеру влади й інституціоналізують дискурсивні практики. Відтак здійснено спробу виявлення граматології ґендеру. Для цього використано класичні праці Дж. Батлер, П. Бергера та інших авторів, які були прихильниками (...) пошуку коренів соціальних феноменів у реальності повсякденного життя. Виявлено, що наразі Україна перебуває на перехідному етапі на шляху до постмодернізму. Запропоновано концептуальну оптику бачення ґендеру як щоденно твореної ролі. Зроблено припущення, що суб’єктність виникає як механізм заперечення, за якого заперечуване зовнішнє стає критичною іманентною характеристикою. Досліджено, що пластичність ґендеру здобувається через проходження декількох етапів, зокрема в результаті міжсуб’єктної взаємодії через габітуалізацію, типізацію, інституалізацію та легітимацію. Доведено, що вирішенням кризи традиційної конотації ґендеру може бути громадянська просвіта, здатна подолати імплозію масової свідомості, яка вбирає наперед вироблені смисли без будь-якої рефлексії, не володіючи, за Ж. Бодріяром, ні атрибутом, ні предикатом, ні якістю, ні референцією. Однак якщо замість «ментального вірусу» запустити системну протиотруту, то можливо домогтися зміни парохіально-ґендерного сприйняття. Прийнявши дискурсивний характер ґендеру та матеріалізм його диспозитиву, «Її історія» (HERstory) може віднайти свій голос, не перебуваючи по той бік «трансцендентної» «Його історії» (HISstory). (shrink)

In the paper, the current state and trends of the use of AR technologies in the transport industry and in future specialists' vocational training processes have been reviewed and analyzed. The essence and content of the AR technologies relevant to the transport industry have been clarified. The main directions of the AR introduction for the various spheres of the transport industry including design and tuning, mechanical and automotive engineering, marketing and advertising, maintenance and operation, diagnostics and repair of cars have (...) been determined. The AR mobile apps market and the features of the mobile apps with AR have been outlined. The pedagogical terms of effective organizing the students' cognitive activity for transport industry via AR technologies have been determined and researched, namely: to provide each student with the position of an active actor of study and cognitive activity, to switch the study information in a mode of the project activity, the educational content professionalization and to teach students to use the modern ICT purposefully, to manage students' cognitive process by means of ICT. The methodology of using mobile apps with AR in students' vocational preparation process for the transport industry has been presented. It covers the system of educational tasks, updated content of lectures, practical and laboratory classes for specialized disciplines. (shrink)

The authors of the book have come to the conclusion that toensuring the country’s security in the conditions of military aggression, it is necessary to use the mechanisms of protection of territories and population, support of economic entities, international legal levers of influence on the aggressor country. Basic research focuses on assessment the resource potential of enterprises during martial law, the analysis of migration flows in the middle of the country and abroad, the volume of food exports, marketing and logistics (...) system. The research results have been implemented in the different decision-making models during martial law, information and economic security management, formation of personnel potential and assets of enterprises, food, energy and environmental security management, use of budgetary levers and financial instruments. The results of the study can be used in the developing of directions, programs and strategies for the post-war recovery of Ukraine’s economy and the attraction of foreign investments in the regions, decision-making at the level of ministries and agencies that regulate security management processes. The results can also be used by students and young scientists in the educational process and conducting scientific research on the problems of ensuring the country’s security. (shrink)