The ternary, not binary, Kripke-type relation on a set of possible worlds is an essential part of the semantics of entailment by Routley-Meyer [2]. The unpopularity of such approach among many logicians is due to its intuitive vague content and complexity. An attempt is made to use not one ternary relation but two binary relations and necessity of bibinarness is demonstrated. It is shown that both semantics are equal hence the soundness and completeness of the system R of entailment can (...) be established with the respect to the bibinary semantics. Furthermore, the ternary semantic with discrete matrix for Lukasiewicz system Lℵ0 , which was proposed in [3], could be transformed into the bibinary one and it leads to the conclusion of the completeness and soundness of Lℵ0 with the respect to the bibinary semantic. The brief consideration of the bibinary semantic intuitive content is added, which further logical study could be based on. (shrink)

We consider fine hierarchies in recursion theory, descriptive set theory, logic and complexity theory. The main results state that the sets of values of different Boolean terms coincide with the levels of suitable fine hierarchies. This gives new short descriptions of these hierarchies and shows that collections of sets of values of Boolean terms are almost well ordered by inclusion. For the sake of completeness we mention also some earlier results demonstrating the usefulness of fine hierarchies.

Work on the methodology of natural science involves serious difficulties over and above those encountered in any other aspect of natural science or of philosophy. Reference is to the obvious fact that in discussing methodological questions of, for example, physics, so as to be precise, it is not enough to know physics: it is also necessary to familiarize oneself with certain branches of philosophy, the history of science, and so forth. Furthermore, a professional cannot limit himself to "general familiarity" with (...) the material. He has to know the details and, if possible, the entire literature on the question under discussion. However, the volume of literature on physics has, within the memory of the author alone — that is, over approximately forty years — multiplied dozens of times. I cannot say how great has been the increase in the quantity of information on the methodology of natural science and related disciplines. But what is important is that the amount of material that has accumulated to date is enormous. Some notion of the scale of the work may be gained from the abstract journal Obshchestvennye nauki za rubezhom. Seriia 8. Naukovedenie. For example, no. 1 for 1980 contained abstracts of 72 articles and books; this amounts to over 400 titles a year . When we add to this the Soviet literature and the need to include material from many years, we arrive at a figure of four digits. Naturally, only a very small portion of the literature is made use of in any particular piece of work, but it is impossible to know beforehand which items will be specifically needed. (shrink)

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Language depth and complexity are comparable with the world reflected in its reality. The conceptual categories are formed by its means, allowing conceptualize ideas about the world, on the basis of which cognitive experience of man further develops. In all periods of its existence, the language is characterized by dynamism and synergy, the ability of self-development, improvement of socio-functional nature, taking care of maintaining its communicative suitability in the best condition. As a unique object of reality, as the most brilliant (...) creation of a human being, language deserves not only to be spoken, but also to get attention and be studied. Research experience proves that the language still holds many secrets and unrevealed laws of its being, development and functioning. Revealing these secrets and laws is possible on the basis of scientific and linguistic competence; the base substrate of it is communicative language competence, which itself can not get enough depth without the support of linguistic competence. Language is the most important means of formation and protection of ethnic and cultural consciousness and the identity of a man whose personal features begin to form on the base and with the help of language in early childhood. Historically, it is through the medium of the Russian language numerous peoples of Russia, the former Soviet Union, and abroad maintain and develop their culture in the broadest sense of the word connection, and it allows everyone to feel their place in the world and thus realize the dynamic integrity of mankind in the general context of space and time, rootedness in their limits, responsibility to them. Russian is the official language, and the state is obliged to develop and adopt measures linguoecological protective nature towards their language in the interests of Russian language and Russian-speaking communities abroad, and to ensure the preservation of its cultural and communicative power. The experience of Russian linguistics in formation of the theory of state language is invaluable in general sociolinguistic approach to language, based on the objective fact of ethnic, cultural and linguistic diversity of Russia. (shrink)