Intermediate prepositional logics we consider here describe the setI() of regular informational types introduced by Yu. T. Medvedev [7]. He showed thatI() is a Heyting algebra. This algebra gives rise to the logic of infinite problems from [13] denoted here asLM 1. Some other definitions of negation inI() lead to logicsLM n (n ). We study inclusions between these and other systems, proveLM n to be non-finitely axiomatizable (n ) and recursively axiomatizable (n ). We also show that formulas (...) in one variable do not separateLM from Heyting's logicH, andLM n (n ) from Scott's logic (H+S). (shrink)

There is a Turing computable embedding $\Phi $ of directed graphs $\mathcal {A}$ in undirected graphs. Moreover, there is a fixed tuple of formulas that give a uniform effective interpretation; i.e., for all directed graphs $\mathcal {A}$, these formulas interpret $\mathcal {A}$ in $\Phi $. It follows that $\mathcal {A}$ is Medvedev reducible to $\Phi $ uniformly; i.e., $\mathcal {A}\leq _s\Phi $ with a fixed Turing operator that serves for all $\mathcal {A}$. We observe that there is a graph (...) G that is not Medvedev reducible to any linear ordering. Hence, G is not effectively interpreted in any linear ordering. Similarly, there is a graph that is not interpreted in any linear ordering using computable $\Sigma _2$ formulas. Any graph can be interpreted in a linear ordering using computable $\Sigma _3$ formulas. Friedman and Stanley [4] gave a Turing computable embedding L of directed graphs in linear orderings. We show that there is no fixed tuple of $L_{\omega _1\omega }$ -formulas that, for all G, interpret the input graph G in the output linear ordering $L$. Harrison-Trainor and Montalbán [7] have also shown this, by a quite different proof. (shrink)

Монография предназначена для специалистов в области социальной философии, социологии и истории, а также для широкого круга читателей.

t. 1. Vlastʹ kli︠u︡cheĭ -- t. 2. Na vesakh Iova.

The publication presents the initial passages of the famious Pali Brahmajālasuttanta with the corresponding parts of its traditional commentary Sumaṅgalavilāsinī as a sample of the ancient hypertext. It is meant as a valuable source to such fundamental philological and hermeneutical questions as what is commented ans what is disregarded by the commentator; how, why and whatfore is in commented.

Svoeobrazie nravstvennykh vozreniĭ K.N. Leontʹeva. Istoki ėticheskikh vzgli︠a︡dov K.N. Leontʹeva ; Fenomen "ėsteticheskogo amoralizma" -- Fenomen ėskhatologicheskoĭ ėtiki. Vizantizm kak nravstvennyĭ ideal ; Pravovoĭ ideal K.N. Leontʹeva v kontekste ėskhatologicheskoĭ ėtiki.

Coming fromI andCl, i.e. from intuitionistic and classical propositional calculi with the substitution rule postulated, and using the sign to add a new connective there have been considered here: Grzegorozyk's logicGrz, the proof logicG and the proof-intuitionistic logicI set up correspondingly by the calculiFor any calculus we denote by the set of all formulae of the calculus and by the lattice of all logics that are the extensions of the logic of the calculus, i.e. sets of formulae containing the axioms (...) of and closed with respect to its rules of inference. In the logiclG the sign is decoded as follows: A = (A & A). The result of placing in the formulaA before each of its subformula is denoted byTrA. The maps are defined (in the definitions of x and the decoding of is meant), by virtue of which the diagram is constructed. (shrink)

In the past twenty years, all the key authors who wrote about the state of postmodernity either began to be engaged in other research areas (Fredric Jameson) or declared that the postmodernism is dead (Linda Hutcheon). Since 2000, when the fatigue from the postmodernism became evident to everyone, various researchers, critics and theorists began to offer their concepts of our era. However, all these theories, emphasizing the change of cultural paradigms, interpret culture traditionally not paying attention to total digitalization and (...) the introduction of new technologies into our lives. However, in two concepts of our time these processes become central. These are the concepts of the digimodern and automodern. The focus of this article is the idea of automodernism, proposed by the American social theorist Robert Samuels in 2007/2009. He believes that our world is characterized by two contradictory tendencies – automation and the desire for autonomy (personal freedom). From his point of view, the former often does not allow to reach the latter due to certain circumstances. Samuels, using the example of a car, a personal computer, the Internet, etc., shows what exactly our culture is in the broadest sense. Analyzing the concept of “digital youth,” he also pays attention to the formation of a new subjectivity of the era of automodernity. Finally, the most interesting part of the concept of automodernism, which is most relevant today, is the criticism of leftwing social and philosophical concepts (Slavoj Žižek, Jameson) and cultural theories (Henry Jenkins). At the end of the article, the author mentions Adam Greenfield’s latest book Radical Technologies: The Design of Everyday Life. Thanks to this book, Samuels’ theory can be verified. (shrink)

1977 was a notable year in our country's history. The Soviet people and all progressive mankind celebrated the sixtieth anniversary of the Great October. The Resolution of the Central Committee of the CPSU "On the Sixtieth Anniversary of the Great October Socialist Revolution" [O 60-i godovshchine Velikoi Oktiabr'skoi sotsialisticheskoi revoliutsii] emphasized that "The October Revolution was a sociopolitical event whose grandeur is revealed more deeply and in sharper relief with each new step taken by humanity along the road of social (...) progress.". (shrink)