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)

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.

The scientific career of the outstanding Russian physiologist A. A. Ukhtomskii was complex and full of contradictions. A descendant of Prince Vsevolod Big Nest [Bol'shoe Gnezdo] of Suzdal', he was strongly influenced by the traditions and legends of his caste. As a juvenile he was sent to the Nizhnii Novgorod Corps of Cadets where he developed a profound interest in philosophy, psychology, history, and literature. His fellow cadets of the same age were amazed at, and sometimes ridiculed the young Ukhtomskii's (...) attempts to find answers to the burning questions of the day in the books of Shakespeare and Dostoevsky and in scientific works. Ukhtomskii's notebooks and synopses of those years show how this youth, from age 15 to 17, pondered over cardinal problems of world view, the contradictions of Russian society, and the future of science. The barracks life of the cadets, the rigorous schedule and supervision did not suppress Ukhtomskii's persistent desire to get a closer knowledge of the life of Nizhnii Novgorod, a major mill town and river port. He managed to make the acquaintance of members of a group of Marxist workers and maintained contact with one of them, M. Ia. Iakovlev , for over 40 years. (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.

It is a strange fact that people's opinions of psychoanalysis are only rarely tentative or unemphatic. It seems that one must either love it or hate it. Professor Cioffi, in a recent paper, has shown that he is no lover of psychoanalysis, and he makes what appears to be a devastating attack on Freud's theories and methods and on the credibility of the whole psychoanalytic discipline. Without wanting to ally myself wholeheartedly with the opposite camp, I want to show that (...) many of the main contentions of his paper are wrong. I shall argue that the objections he makes which, if valid, would be the most serious for Freudian theory, are unfounded. (shrink)

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)