In this letter we demonstrate that the fermionic zero modes on a superconducting domain wall can be associated to an one dimensional \ supersymmetry that contains non-trivial topological charges. In addition, the system also possesses three distinct \ supersymmetries with non-trivial topological charges and we also study some duality transformations of the supersymmetric algebras.

The article gives a short account of V.A. Smirnovs scientific biography, including his work in Tomsk University in Siberia and in the Department of Logic of the Institute of Philosophy in Moscow.

Nunez's description of the brain as a medium capable of wave propagation has provided some fundamental insights into its dynamics. This approach soon reaches the descriptive limits of the brain as a physical system, however. We point out some biological constraints which differentiate the brain from physical systems and we elaborate on its consequences for future research.

Kont︠s︡ept︠s︡ii︠a︡ razvitii︠a︡ : osnovopolagai︠u︡shchiĭ print︠s︡ip -- Priroda i smysl mirovykh konstant -- Universalʹnyĭ kriteriĭ istiny -- Nevyuchennye uroki dialektiki : u kogo i kak uchitʹsi︠a︡ myslitʹ dialekticheski.

Certain modifications, by way of improvement, are proposed for the Feynman postulates in quantum mechanics. These modifications incorporate a criterion for the applicability of the principle of superposition. It is shown that the modified postulates, together with certain assumptions regarding the trajectory of a particle, lead to an expression for the position-momentum uncertainty relationship which is broadly in agreement with the conventional expression. The time-energy uncertainty relationship is, however, found to have a likely place only in the relativistic theory. A (...) criterion, in the form of a ratio involving the linear dimensions of the particle, is obtained for the validity of the classical mechanics approximation. The modified postulates are suggested to favor the statistical interpretation of quantum mechanics over the Copenhagen interpretation. (shrink)

"The Party's struggle to educate the people as atheists," said Comrade L. F. Il'ichev in his report to the Ideological Commission of the Central Committee of the CPSU, November 25, 1963, "has had a history and has gone through stages, at each of which concrete problems were solved, and forms and methods of work specific to the given period were developed.".

First of all - about the connections of culture and religion. This question is one of those who, in the recent past, was subjected to all kinds of distortions. Consequently, our contemporary Ukrainian society needs a true meeting of religion and culture. The attempt of Marxism to create a new humanism, which completely rejects religion and is based only on atheism, and even that which was given a militant character, proved to be insolvent. Even now we understand that it is (...) impossible to build a culture denying the close connection between religion and culture. (shrink)