The phenomenon of Petro Mohyla in the modern humanitarian university is most often viewed precisely from the point of view of understanding his figure not only as a building Church, its defender, in a sense as a Christian conservative, but also as a guardian and building national statehood, creator of religious-national transformation and state-renewal Khmelnytsky era and - later - Mazepa. As the History of the Orthodox Church in Ukraine rightly points out, "after 1632, when the Commonwealth entered into the (...) reign of Wladyslaw IV and was headed by Petro Mohyla of Kiev, the Orthodox Church also entered a new era of its existence. The government's new course in resolving the religious issue, increasing political activity of the Orthodox community gave the Kyiv Metropolitanate the opportunity to restore legal status, to regulate relations with the state and society… This authority … was conditioned by the ability of the church institution to be full-blooded… the inner life of the church became perhaps the overriding task of Petro Mohyla... Petro Mohyla justified the principles of its own jurisdiction... emphasized the legitimacy of its power. ". (shrink)

The philosopher dealing with problems of the epistemology and logic of scientific knowledge cannot disregard those truly immense changes that have occurred in science in the present century. Moreover, he must interest himself not only in what has been learned in the objective world that is new, but by what new methods and means this knowledge has been acquired, how its structure has changed, what categories define the essence of contemporary scientific theorizing, and its outreach into cognition in the future. (...) Of course, the character, structure, and methods of the scientific acquisition of knowledge are determined in the final analysis by what it is that is being cognized, what things and processes are coming to be known. However, direct influence upon logical concepts in the theory of knowledge is brought to bear in the very process of cognition, in its methods and means of approaching the reflection of the object. (shrink)

A consistent causal interpretation of the Klein-Gordon equation treated as a field equation has been developed, and leads to a model of entities described by the Klein-Gordon equation, i.e., spinless, massive bosons, as objectively existing fields. The question arises, however, as to whether a causal interpretation based on a particle ontology of the Klein-Gordon equation is also possible. Our purpose in this article will be to indicate, by making what we believe is a best possible attempt at developing a particle (...) interpretation of the Klein-Gordon equation, that such an interpretation is untenable. To resolve the nonpositive-definite probability density difficulties with the Klein-Gordon equation, we modify this equation by the introduction of an evolution parameter. We base our subsequent considerations on this modified Klein-Gordon equation. Partly to motivate the need for a relativistic causal interpretation and partly to give emphasis to aspects of the causal interpretation often overlooked, we begin our article with a brief historical survey of the causal interpretation. (shrink)

Using covariant derivatives and the operator definitions of quantum mechanics, gauge invariant Proca and Lehnert equations are derived and the Lorenz condition is eliminated in U(1) invariant electrodynamics. It is shown that the structure of the gauge invariant Lehnert equation is the same in an O(3) invariant theory of electrodynamics.

It would be difficult to name a more interesting scientific problem than that of knowledge of the brain, its overall mechanisms and its molecular nature. Rational management of the brain in the future and utilization of the principles of its functioning to construct various mechanisms to undergird present-day technological progress should follow as direct consequences of development of that sphere of knowledge.