This article discusses the set of Harsanyi payoff vectors of a cooperative TU-game, also known as the Selectope. We reconsider some results on Harsanyi payoff vectors within a more general framework. First, an intuitive approach is used, showing that the set of Harsanyi payoff vectors is the core of an associated convex game. Next, the set of individual rational Harsanyi payoff vectors, the Harsanyi imputations in short, is considered. Existence conditions are provided, and if non-empty, we provide a description as (...) the core of a well-defined convex game, and show that it is an externally stable set. (shrink)

This article discusses the set of Harsanyi payoff vectors of a cooperative TU-game, also known as the Selectope. We reconsider some results on Harsanyi payoff vectors within a more general framework. First, an intuitive approach is used, showing that the set of Harsanyi payoff vectors is the core of an associated convex game. Next, the set of individual rational Harsanyi payoff vectors, the Harsanyi imputations in short, is considered. Existence conditions are provided, and if non-empty, we provide a description as (...) the core of a well-defined convex game, and show that it is an externally stable set. (shrink)

Kniga "Dar Blagorodstva" posvyaschena problemam vlasti i Upravleniya, dovol'no spetsificheski ponimaemym avtorom, kotoryj protivopolagaet ih drug drugu prezhde vsego v ih "germenevticheskih" i "politicheskih" aspektah. Pri etom, odnako, on ukorenyaet dannuyu problematiku v ekzistentsial'nom, "edinichnom" izmerenii, poskol'ku problema vlasti est', po mysli avtora, ekzistentsial'naya problema. Kniga "Dar Blagorodstva" est' neposredstvennoe prodolzhenie knigi "Filosofiya Bazilevsa" i yavlyaetsya ee svoeobraznym "vtorym tomom.".

In this article some problems associated with Kant's transcendental deduction of the categories will be examined. Kant wrote that the deduction was one of the most difficult and arduous investigations ever undertaken in metaphysics. It is the deduction that must establish the lawfulness of claims to knowledge on the part of pure reason and determine the very possibility of metaphysics.

Immanuel Kant left us not only fundamental treatises but also a wealth of remarkable or simply memorable expressions. Some of them—like the idea of the two things that fill the mind with wonder and awe, the starry heavens and the moral law—are known even to children. Kant's other aphorisms are not widely known. His manuscripts are a real depository of such little-known passages. Here are a few examples.

The philosophy of the modern age begins with two enigmatic figures—Descartes and Bacon. They are steeped in the common spirit of philosophical reform, but view the tasks and the place of metaphysics differently. Bacon thinks that metaphysics should be constructed on the basis of physics and has an applied and empirical character. Descartes believes that physics grows out of a priori metaphysics.

The Oxford Handbook of Philosophical Theology attempts both to familiarize readers with the directions in which the scholarship of this discipline has gone and to pursue the discussion into hitherto under-examined areas. Philosophical theology is aimed primarily at theoretical understanding of the nature and attributes of God and of God's relationship to the world and its inhabitants. During the twentieth century, much of the philosophical community (both in the Anglo-American analytic tradition and in Continental circles) had grave doubts about our (...) ability to attain any such understanding. In recent years the analytic tradition in particular has moved beyond the biases that placed obstacles in the way of the pursuing questions located at the interface of philosophy and religion. Written by some of the leading scholars in the field, the articles in the book are grouped into five sections. In the first section, articles focus on the authority of scripture and tradition, on the nature and mechanisms of divine revelation, on the relation between religion and science, and on theology and mystery. The next section focuses on philosophical problems connected with the central divine attributes: aseity, omnipotence, omniscience, and the like. In the third section, articles explore theories of divine action and divine providence, questions about petitionary prayer, problems about divine authority and God's relationship to morality and moral standards, and various formulations of and responses to the problem of evil. The fourth section examines philosophical problems that arise in connection with such central Christian doctrines as the trinity, the incarnation, the atonement, original sin, resurrection, and the Eucharist. Finally, the fifth section introduces readers to current work in Jewish, Islamic, and Chinese philosophical theology. (shrink)

Martin Heidegger is, perhaps, the most controversial philosopher of the twentieth-century. Little has been written on him or about his work and its significance for educational thought. This unique collection by a group of international scholars reexamines Heidegger's work and its legacy for educational thought.

Here we suggest a formal using of N.A. Vasil’ev’s logical ideas in categorical logic: the idea of “accidental” assertion is formalized with topoi and the idea of the notion of nonclassical negation, that is not based on incompatibility, is formalized in special cases of monoidal categories. For these cases, the variant of the law of “excluded n-th” suggested by Vasil’ev instead of the tertium non datur is obtained in some special cases of these categories. The paraconsistent law suggested (...) by Vasil’ev is also demonstrated with linear and tensor logics but in a form weaker than he supposed. As we have, in fact, many truth-values in linear logic and topos logic, the admissibility of the traditional notion of inference in the categorical interpretation of linear and intuitionistic proof theory is discussed. (shrink)

This paper is about the ?Imaginary Logic? developed by the Russian logician Nicholas Vasil'év between about 1910 and 1913, a logic that is often claimed to be a forerunner of different sorts of modern nonclassical logics. The paper describes the content of that logic (not by trying to interpret it in modern logic, as some commentators have done, but by describing it in its own terms). It then looks at the philosophical underpinnings of the logic. Finally, in the light of (...) the preceding, it discusses Vasil?év's place in the history of logic. (shrink)

The solution of the problem of the future random events truth is considered in Vasil’ev’s logic. N. A. Vasil’ev graded the logic according to two levels—the level of facts, i.e. time fixed events, and the level of notions or rules, governing these facts. The mathematical construction previously suggested for imaginary Vasil’ev’s logic, extends to the early variant of his logic—a logic of notions. In the paper, we investigate the meaning of problematic and uncertain assertions introduced by (...) class='Hi'>Vasil’ev. As a result, we developed a model of Vasil’ev’s logic of facts that resolves also the truth problem of future random events. The imaginary logic has also been extended to the level of notions, and the law of the excluded eighth is gotten in it. The correspondence between Vasil’ev’s terms “some” and “all” and modern quantifiers is discussed. (shrink)

The aim of this paper is to show how the invention of imaginary logic by Nikolaj A. Vasil’ev, forerunner of various logical and metaphysical theories appeared in the 20th century, is grounded on a revaluation of Aristotelian ontology. I shall introduce the reason why Aristotle believes that the study of the principle of contradiction is part of ontology (§ 2); I shall explain why Vasil’ev considers the law of contradiction an empirical law, and not a logical one (§ (...) 3.1). I will show his conception of contradiction (§ 3.2) and I will discuss how he believes that it’s possible to renounce this law; (§ 3.3). I shall then explain the fundamental features of imaginary logic (§ 4.1 and § 4.2); and, finally I shall claim how, in spite of a convergence from the logical point of view (§ 5.1), the incompatibility of the two authors takes place on an ontological level (§ 5.2). In order to do so, I shall implement the analysis of the Aristotelian syllogistic conducted by the Polish logician and philosopher Jan Łukasiewicz, together with a crucial distinction between two concepts: the one of ‘law’ and the one of ‘principle’. -/- . (shrink)

This volume examines the entire logical and philosophical production of Nikolai A. Vasil’ev, studying his life and activities as a historian and man of letters. Readers will gain a comprehensive understanding of this influential Russian logician, philosopher, psychologist, and poet. The author frames Vasil’ev’s work within its historical and cultural context. He takes into consideration both the situation of logic in Russia and the state of logic in Western Europe, from the end of the 19th century to the (...) beginning of the 20th. Following this, the book considers the attempts to develop non-Aristotelian logics or ideas that present affinities with imaginary logic. It then looks at the contribution of traditional logic in elaborating non-classical ideas. This logic allows the author to deal with incomplete objects just as imaginary logic does with contradictory ones. Both logics are objects of interesting analysis by modern researchers. (shrink)

BOOK REVIEWS: Valentin A. Bazhanov, “N.A. Vasil’ev and his Imaginary Logic”, Kanon+, Reabilitatsiia, Moscow, 2009, 240 pp., ISBN 9785883731968.

The paper investigates the system of 'Imaginary Logic' created by the Russian logician N.A. Vasil'ev (1880-1940), considered by some to be a forerunner of paraconsistent or intuitionistic logics. It is shown how he constructs a logic without the law of contradiction redefining the concept of negation. Vasil'ev singles out two levels of logic, an external one which is absolute and one depending on commitments in relation to cognizable objects which is not absolute. His reconstruction of the syllogism shows the viability (...) of his system and indicates how, indeed, he may be called an initiator of nonclassical logics. (shrink)

Volume 40, Issue 3, August 2019, Page 298-303.

This study emphasises the cosmic dimensions of the Church understood as the Throne of God, analysing its understanding in this way by the great writers and thinkers of the ancient world, for example, Philo the Alexandrine, Saint Dionysius the Areopagite and Saint Irene of Lyon. The reconstitution of all the cosmological contexts and understanding of the Throne of God inspired by the texts of the ancient authors is opening a very interesting perspective over the existence of the Church as a (...) cosmic Throne of God and reassembling of all the heavenly and intelligible creations sustained and vivified by the primal light of God transmitted in this way towards the lower degrees of the heavenly angelic and churchly hierarchy. Thus, the real source of primacy in the Church is originated, as Saint Dionysius pointed out, in the primal light of God poured over the Church. The Church as the Throne of God helps to discover the real cosmic and heavenly perspective over the heavenly power and authority, the bishops of the Churches are called frankly by God from the beginning (Rv 3:21). (shrink)

This paper is a review of the 18th National Ethics Conference that took place in November 2022 and was organized by the Department of Ethical Studies of the Institute of Philosophy and Sociology of the Bulgarian Academy of Sciences. The aim of this review is to give publicity to the event by informing of the thematic panels, the titles of the reports and the names of the researchers who participated.

Sugar, pork, beer, corn, cider, scrapple, and hoppin' John all became staples in the diet of colonial America. The ways Americans cultivated and prepared food and the values they attributed to it played an important role in shaping the identity of the newborn nation. In A Revolution in Eating, James E. McWilliams presents a colorful and spirited tour of culinary attitudes, tastes, and techniques throughout colonial America. Confronted by strange new animals, plants, and landscapes, settlers in the colonies and West (...) Indies found new ways to produce food. Integrating their British and European tastes with the demands and bounty of the rugged American environment, early Americans developed a range of regional cuisines. From the kitchen tables of typical Puritan families to Iroquois longhouses in the backcountry and slave kitchens on southern plantations, McWilliams portrays the grand variety and inventiveness that characterized colonial cuisine. As colonial America grew, so did its palate, as interactions among European settlers, Native Americans, and African slaves created new dishes and attitudes about food. McWilliams considers how Indian corn, once thought by the colonists as "fit for swine," became a fixture in the colonial diet. He also examines the ways in which African slaves influenced West Indian and American southern cuisine. While a mania for all things British was a unifying feature of eighteenth-century cuisine, the colonies discovered a national beverage in domestically brewed beer, which came to symbolize solidarity and loyalty to the patriotic cause in the Revolutionary era. The beer and alcohol industry also instigated unprecedented trade among the colonies and further integrated colonial habits and tastes. Victory in the American Revolution initiated a "culinary declaration of independence," prompting the antimonarchical habits of simplicity, frugality, and frontier ruggedness to define American cuisine. McWilliams demonstrates that this was a shift not so much in new ingredients or cooking methods, as in the way Americans imbued food and cuisine with values that continue to shape American attitudes to this day. (shrink)