LOGIC OF COMPUTATIONAL COMPLEXITY

The paper centers on building the semantics of the modal metatheory for studying the classes of algorithmic complexity. Further the effectiveness of this calculus is studied on the example of researching the famous problem of computational complexity theory – the question of equality of the classes P and NP. The new theoretical and methodological approach to the problem is provided. The original semantics was developed that can be used for description of relations between classes of algorithmic complexity from the complexity theory. On the basis of this semantics the complete calculus of the logic of the computational complexity can be developed in future. It is the first time when modal logic is used for studying the relations between classes of algorithmic complexity. New theoretical and methodological approaches to the classical problems of the complexity theory are proposed. Paper matters for computer science, philosophy of mathematics, logic and theory of algorithms, cryptography.

THE PHENOMENON OF NBIC CONVERGENTION

The purpose of the article is in a philosophical analysis of phenomenon of NBIC convergence as a main contemporary trend in technology, which will influence on life experience and social life. The author using an analysis of themathical information created an original concept of changes in human life which will be triggered by synergistic effect of development of NBIC technologies. Possible risks which are related to uncontrolled development of technology, as examples provided cases of genetic modification of human and usage of artificial intelligence. The author created an original concept of changes in human life which will be triggered by synergistic effect after usage of NBIC technologies. The original philosophical conclusions are discovered such as changes in thinking about categories of natural – unnatural. The obtained results allow us to think that modern technologies give us big possibilities that we need to estimate adequately. Their meaning is not restricted just to usual human life.

RELATIONSHIP BETWEEN CANADA AND THE UNITED STATES: ASYMETRY AND INTERDEPENDENCE

The article analyze the nature and content of bilateral Canadian-American asymmetric relations with uses the general scientific methods of empirical knowledge. The asymmetry of quantitative and qualitative parameters of Canada and the USA, which is caused by historical, geographical, political, economic, demographic and cultural factors, is revealed. It is proved that in the conditions of interdependence, the asymmetry of military potentials is not a determining factor in relations between the two North American countries. It found that the existing asymmetry of indicators between Canada and the United States does not create opportunities for the strong side to dictate its conditions and does not allow these relations to be turned into a one-sided relationship. Key Canadian strategies aimed at reducing asymmetry in relations with the United States are identified. It is indicated that “soft power” is an important factor in strengthening Canada’s political position in the asymmetric model of coexistence with the United States. The Relations between Canada and the United States are characterized not only by the high level of asymmetry and the wide application of regulatory mechanisms, but also by the high degree of interdependence that is particularly noticeable in the economic and cultural spheres. The asymmetric relationship between Canadian-American is evident in terms of reaching consensus in a wide range of activities. Key words: USA, Canada, Canadian-American Relations, Asymmetry, Interdependence, Potential.

UKRAINE: EARLY REBELLIONS FOR INDEPENDENCE KHMELNYTSKY & MAZEPA

The purpose of the article is to highlight two pivotal events in Ukrainian history which contain archetypal figures for current Ukrainian national identity. The focus on telling the stories from the Ukrainian perspective and understanding the elements of the hero's journey within the stories, the archetypes at play, as well as the counter narrative adds a unique approach to understanding the complex history shaping Ukrainian identity and fueling the current conflict between Russia and Ukraine, and among the Ukrainian people. Understanding the main points of the stories from the Ukrainian perspective, and how they support Ukrainian national identity will help US policy makers in spotting and understanding the Russian counter narratives and how they are used to influence Russian, Ukrainian and western audiences.

LOVE (AMORE AND CARITAS) AS A COGNITION AND LINK BETWEEN RATIO AND INTELLECTUS. THE HIGHEST DIMENSION OF CREATIVITY

The purpose of the article is to reveal the historical and philosophical analysis of the phenomenon of love, which is the key to the work of Nicholas of Cusa in the light of his epistemological constructions, and in view of his reflections on the nature of human. The author focuses on the anthropological nature of the system of Nicholas of Cusa, exploring that this approach makes it possible to better understand the ontological basis of the tradition of correlation in the philosophy of Nicholas of Cusan intellectus and creative intentions in man, and also leads to the final concept of the anthropological doctrine of Nicholas of Cusa, namely, deiformitatem (deification). The obtained results can be used in the development of normative courses, special courses on the history of philosophy and philosophy of religion when considering medieval mysticism.

VAISHNAVA REMINISCENCES OF POSTMODERNIST CIVILIZATION

The purpose of the article is to focus attention on the place of Vaishnavism as one of the forms of postmodern expression in modern civilization. Research results – identification of the particularities of the representation of India in the postmodern era, the rather conservative and at the same time exclusively innovative and high-tech, post-modernization of the Hindu narrative, the specificity of the philosophical reflection of Vaishnavism as a manifestation of Hinduism. Scientific novelty – analysis of oriental / Neo-Hindu discourses in the postmodern context.

PHILOSOPHICAL POETRY OF THE AMERICAN TRANSCENDENTALIST WALT WHITMAN

The purpose of the article is to reveal the basic philosophical views of the American transcendentalist Walt Whitman. The author has made a historical and philosophical analysis of the basic philosophical views of the thinker, Walt Whitman's literary heritage was analyzed, and ideas typical of American transcendentalism were discovered. The author's interpretation of the basic philosophical views of Walt Whitman is offered. The results complement the idea of the history of American philosophy, namely the period of American transcendentalism, they can be used in educational programs, they can be useful to scientists, teachers, students, etc.

LOGICAL ERRORS AND COGNITIVE WARNINGS

In this article the author proposes to take a look at the external and internal factors of influence on human reasoning. They act as the main causes that allow a person to make instant decisions or actions. At the same time, they can also determine the human errors in thinking. According to the author, these two factors have a common characteristics and a single system of influence. Quite often they work simultaneously in pair.

HISTORIOGRAPHY OF PHILOSOPHY AND NATIONAL TRADITION. SOME REFLECTIONS ON THE BASIS OF DISCUSSIONS ON THE HISTORY OF POLISH PHILOSOPHY

The basis of paper consists of decades long discussion of Polish philosophers and historians of philosophy who touched upon the issue of national Polish philosophy and upon the problems of researching the history of Polish philosophy. The discussion led to numerous interesting conclusions which appear to be still valid for researchers of national philosophical traditions and also for philosophers who intend to contribute to philosophical tradition of their nation. Topical conclusions of their considerations can be formulated as methodological instructions for researching history of nation's philosophy and as advice for building philosophical tradition of the given nation.

SOCIAL AND POLITICAL ASPECTS OF THE FIRST STATE HISTORY OF JAPAN "NIHON SHOKI"

The article analyzes the historical and socio-political foundations for the first draft of the state history in Japan, which gave impetus to the processes of institutional building, as well as the design of mechanisms and structures of government that have proved their effectiveness for centuries in the future.