In this paper, we give an axiomatization of the ordinal number system, in the style of Dedekind’s axiomatization of the natural number system. The latter is based on a structure $(N,0,s)$ consisting of a set N, a distinguished element $0\in N$ and a function $s\colon N\to N$. The structure in our axiomatization is a triple $(O,L,s)$, where O is a class, L is a class function defined on all s-closed ‘subsets’ of O, and s is a class function $s\colon O\to (...) O$. In fact, we develop the theory relative to a Grothendieck-style universe (minus the power set axiom), as a way of bringing the natural and the ordinal cases under one framework. We also establish a universal property for the ordinal number system, analogous to the well-known universal property for the natural number system. (shrink)

Tsang and Caves suggested the idea of a quantum-mechanics-free subsystem in 2012. We contend that Sudarshan’s viewpoint on Koopman-von Neumann mechanics is realized in the quantum-mechanics-free subsystem. Since quantum-mechanics-free subsystems are being experimentally realized, Koopman-von Neumann mechanics is essentially transformed into an engineering science.

The purpose of the study is to reveal the essential content of the digital environment for the provision of medical services. The article discusses various scientific approaches to the formation and development of the digital health care environment. Scientific novelty lies in the substantiation of the definition of a digital environment for the provision of medical services, which will allow developing a scientific and methodological approach to designing a digital ecosystem for the development of the regional economy based on increasing (...) the level of health preservation of citizens. As a result, the strategic directions for the development of the digital environment for the provision of medical services were identified, reflecting the global trends in the development of digital health. (shrink)

Philosophy after Hiroshima offers a philosophical analysis of the issues surrounding war and peace, and their challenges to ethics. It reminds us that the threat posed to civilization by nuclear weapons persists, as does the need for continuing philosophical reflection on the nature of war, the problem of violence, and the need for a workable ethics in the nuclear age. The book recalls the atomic bombings of Hiroshima and Nagasaki as the beginning of the nuclear age, the Cold War, and (...) subsequently of the hegemonic unilateralism of the sole superpower. Reviewing early critical responses to the first atomic bombings by such figures as Camus, Sartre, Russell, Heidegger, Jaspers and others, the authors themselves respond to contemporary threats to peace, including the US "global war on terrorism," the recrudescence of militarism, and the continuation of imperial power politics by other means. In the nuclear age, the use of military force as a political instrument threatens the future of humanity. This poses formidable challenges to philosophy and calls for its transformation. In using memories of the atomic bombings to help us to grasp the moral implications of the current escalation of global violence, the authors hope to show the urgent relevance of nonviolence in the contemporary context. Drawing on a range of philosophical traditions Taoist and Western the contributors take up a welter of philosophical and political concerns of topical interest, including human rights, toleration, the politics of memory, intercultural dialogue, the ethics of co-responsibility, and the possibility of a cosmopolitan order of law and peace. Going beyond postmodernism and deconstruction, several of the authors develop a post-critical, constructive paradigm of thinking a philosophy of the possible and a new methodology for the realization of the creative potential of the humanities. Philosophy is viewed as a peace-promoting global dialogue. (shrink)

The intuitions of Raimundus Lullus religious metaphysics are in this article explicated according to the opportunities of the convergence between the medieval and the new time philosophy. Such approach to the creativity of the thinker is possible, because his conception is one sides associated with the mystical symbolic theologism, that is typical for the medieval tradition, over sides develops Lullus the new understanding of the infinity of the world, inherent in the newtime philosophy. This opposition conditions some of the features (...) of Lullus spiritual quest. This quest connected the respect to the past, that causes the homesickness to the lost ideals, together with the progressivity – the presentation of the future. This presentiment is by Lullus expressed as the desire to change the external world. The aim of this change is the approximation of the rational theological base – the model for the real life. Lullus experiences the combination and the unrealized synthesis of this intentions as the tragedy. The acute and intensive conflict of this intentions triggers the practical atheism, when the stimulation of the external distraction of the evil leads causes the appearance and the activation of the new evil. This disaster of life is determined with some aspects of Lullus metaphysics, in that the infinity of God is realized as the infinity of the world. The infinity of the world is by Lullus given as the rational hierarchical order, leading to the creator of the world. The tragedy of life is for Lullus the marker, that emphasizes the crisis of the medieval philosophy, that was based on the revelation. This crisis discovers the land of new philosophy. This philosophy stresses the autonomy of the human personality. (shrink)

The spiritual quest of Raymond Lull is of interest to modern philosophical discourse as occupying an intermediate position between the Middle Ages and the Renaissance and thus combining the features of these two eras in the history of the development of human thought. They are connected with the Middle Ages by theocentrism and traditionalism, and with the Renaissance by emphasizing the peculiar polyphony of the world, the predominance of plurality over unity, given in the autonomous dialogic space of the human (...) personality as a gradual immanentization of the presence of a transcendent deity, associated with the acceptance by man of the external world as the only possible one. This immanentization is carried out by Luli in the symbol of Love as the Unity of the Loving and the Beloved, explicating the thinker's introspection. The novelty of the work lies in the application of the teachings of A.F. Losev about the interpretive symbol, which made it possible to consider them as a special form of explication of the personality as its transcendence and simultaneous immanence, being a special form of introspection, which correlates with Lull's teaching about Love as a fluctuation in which the Beloved descends, and the Lover ascends. This contributes to the actualization of Lull's spiritual quest as an integrity, a unique eidos, in which each of the separate features of Raymond Lull's spiritual quest is realized in a special way, reflecting the intermediate position occupied by the thinker between the worlds of Antiquity and the Middle Ages. The proposed model of mutual positing of the "components" of Lull's teaching allows us to show one of the possibilities for the interaction of the thinker's logical system (understanding the force, its bearer and passively perceiving its beginning) and his theologically oriented personal spiritual quest as a special kind of dynamics in which the leading role is assigned to introspection as a personal intentions, a kind of mythological sub-foundation of the actual logical dimension of the thinker's teachings. (shrink)

The creativity of Rozanov is realized as the flow of experiences and associations. This experiences are putting together by means of the topic-conception “becoming”, that belongs to ancient categories. This categories are used to collect the dividual intuitions of Rozanov. Doctrine of Rozanov is interpreted as the coordination between the outside and the inside ranges of becoming. The inside rang of becoming includes by Rozanov the movement of people and things from birth to death. The inside ranges are corresponded with (...) concrete things and represents the complex analogues to the outside range. The specific by Rozanov lies in the impossibility of things to stop eternal formation. By Rozanov this formation eventually determines itself. It is by Rozanov the folded type of entropy. Rozanov explicates forms of entropy, when he describes his life und the being of world. His descriptions are the is the evidence. We explain the cosmos by Rozanov with help of ancient ontological categories and determine his creativity as an interaction between cosmos and chaos. To find balance between cosmos and chaos is the main eksistential problem of his doctrine and life. The decision of this problem is by Rozanov imposable, but this impossibility gives the opportunity to understand the world of Rozanov in context of different directions of philosophy. (shrink)

Our approach bases on the explication of Rosanov’s creativity as the special intention, that implements the unspeakable Self-Selfness of Vasiliy Rosanov. The ineffability of Self-Selfness can be dialectical expressed by Rosanov through phenomena, of that consists the Rosanov’s world. This ineffability actualizes by Rosanov by means of understanding as a filled emptiness, that determinates the specialties and the structure of the understood objects. The exposition of this emptiness conditions the antinomies of Rosanov’s creativity: one sides is understanding by Rosanov the (...) closed world, other sides it corresponds with the world of things. Rosanov mythically fills the void, using the intimate personal contact with the things. We consider the creativity of Rosanov as the synthesis of both this global directions of Rosanov’s theory: the vision of understanding through things, this vision causes the special perception of things by Rosanov. The things are by Rosanov neither material objects, nor the ideal essences. This are by Rosanov the givens, inherent to the understanding. At the same time Rosanov examines the things through understanding, including it with help of the carnivalisation in his own special world. This method defines in our opinion style and content of Rosanov’s works. The thinker realizes by means of the carnivalisation the understanding, according to the concrete things, creating the special world of life (reality). For Rosanov this world is the second world. (shrink)

The subject of this research is the historical evolution of the three world religions – Buddhism, Christianity, and Islam. The author analyzed the development of these religions based on the model of religious cycle, which in his opinion, is common to the majority of historical religions, in other words, religious systems created after the invention of writing. In accordance with the author’s concept, each of the aforementioned religion has gone through six stages of development: initial, orthodox, classical, reformist, critical, and (...) post-critical; as well as two types of crises – structural and system. The three methods are used in the course of this study: historical, comparative, and method of ascension from abstract to concrete. The main conclusion of the conducted research consists in the statement on the functional identity of historical development of Buddhism, Christianity, and Islam regardless of their doctrine of ritual practice. Author’s special contribution is defined by formulation of the abstract model of religious cycle that he applies to the evolution of the aforementioned religions. (shrink)