We present a modernized proof, with a modification by M.A. Shtan’ko, of the Markov theorem on the unsolvability of the homeomorphy problem for manifolds. We then discuss a proof of the S.P. Novikov theorem on the unrecognizability of spheres for n≥5, from which we obtain a corollary about unrecognizability of all manifolds of dimension at least five. An analogous argument then proves the unrecognizability of stabilizations of all four-dimensional manifolds. We also give a brief overview of known results concerning (...) algorithmic recognizability of three-dimensional manifolds. (shrink)

Монография представляет собой исследование философских взглядов одного из представителей второй половины XIX века, мыслителя, публициста, литературного критика, переводчика, издателя, Н. Н. Страхова.

CHAPTER I Introduction The history of mankind can boast not only of its times of fame and glory but also of quieter times with a different kind of heroism. ...

Gardner’s theory of multiple intelligences has been further developed to focus on the research of human cognitive activities. Thus, the concept of emotional intelligence, which is the topic of the current paper, was introduced by John D. Mayer, Peter Salovey and ‎Daniel Goleman. General intelligence can be defined as the capacity to carry out abstract reasoning to understand meanings, to recognize the similarities and differences between two concepts and to make generalizations. Emotional intelligence is not a part of general intelligence. (...) Emotional intelligence can be defined as an ability of a human to perceive oneself and interact with others with the help of obtained and processed emotional information. Language acquisition is mediated by the necessity to communicate with others. Consequently, the ability to manage the process of communication is of utmost importance in learning a language. Virtual learning environment reduces dramatically the immediate interaction of the participants of the process of education. It undoubtedly affects the process of acquisition and demands to reconsider the distribution of different learning activities. (shrink)

The article considers modern transformations of the ideas concerning subject’s cognitive abilities towards object because of the emergence and development of artificial intelligence (AI) technologies. The developments of scientists and engineers from National Research University of Electronic Technology (Moscow, Russia) in the field of artificial intelligence have been taken as a foundation and material of this research. Their analysis allows making a conclusion that the humanity is rather far from the realization of ‘strong artificial intelligence’. We need a qualitative breakthrough (...) in AI material and technological basis for it. Applying ‘model-dependent realism’ by S. Hawking in the course of the speculations in the article, the author concludes that the purpose of cognition in modern science is not to describe an objective reality, but to organize its subjective perception by some definite way. So, the purpose of cognition is the perfection of cognition models permitting a subject ‘to capture’ the reality. This idea is completely confirmed by Maturana and Varela’s autopoiesis theory and von Foerster’s ‘second-order cybernetics’. The article drafts some prospects of moving away from post-nonclassical scientific thinking in its current understanding, because the development of AI technologies results in ‘blurring’ borders of subjectivity in the cognition process. The author concludes that the modern world is moving in another epistemological paradigm where a new scientific revolution is inevitable. (shrink)