This paper concerns modal logics appearing from the temporal ordering of domains in two-dimensional Minkowski spacetime. As R. Goldblatt has proved recently, the logic of the whole plane isS4.2. We consider closed or open convex polygons and closed or open domains bounded by simple differentiable curves; this leads to the logics:S4,S4.1,S4.2 orS4.1.2.

If a formal theory T is able to reason about its own syntax, then the diagonalizable algebra of T is defined as its Lindenbaum sentence algebra endowed with a unary operator □ which sends a sentence φ to the sentence □φ asserting the provability of φ in T. We prove that the first order theories of diagonalizable algebras of a wide class of theories are undecidable and establish some related results.

Summary Ideomotor apraxia is a cognitive disorder in which the patient loses the ability to accurately perform learned, skilled actions. This is despite normal limb power and coordination. It has long been known that left supramarginal gyrus lesions cause bilateral upper limb apraxia and it was proposed that this area stored a visualkinaesthetic image of the skilled action, which was translated elsewhere in the brain into the pre-requisite movement formula. We hypothesise that, rather than these two functions occurring separately, both (...) are complementary functions of chains of ‘‘mirror neurons’’ within the left inferior parietal lobe. We go on to propose that this neural mechanism in the supramarginal gyrus and its projection zones, which originally evolved to allow the creation of a direct map between vision and movement, was subsequently exapted to allow other sorts of cross-domain mapping and in particular those sorts of abstract re-conceptualisation, such as metaphor, that make mankind unique. (shrink)

В книге представлено понимание границ в психотерапии с позиций аналитической психологии. Для практикующих психологов и психотерапевтов, а также для студентов психологических вузов.

Исследование иллюстрируется примерами анализа самого современного искусства в сферах живописи, театра, кино, литературы.

Purpose. The knowledge influence analysis on the formation process of new anthropological images of man in the contexts of scientific achievements and innovative technologies is the basis of this study. It involves the solution of the following tasks: 1) explication of the ontological content of knowledge in the anthropo-cultural senses of the epoch; 2) analysis of the knowledge influence on the process of forming a new type of man; 3) characteristics of the modern anthropological situation in the context of digital (...) culture; 4) substantiation of interrelation of phatic communication with post-truth society in the dimensions of anthropo-social transformations of the present. Theoretical basis. Ontological content of knowledge determines the anthropo-cultural context of the epoch by forming a system of intellectual, value, social meanings of human life. The assertion of new anthropological types of man is caused by the changes in social and cultural space in the context of the growing influence of achievements in scientific knowledge and technology. Digital revolution as the process of expanding the possibilities of informational-digital reality, the substitution of knowledge for information gives rise to Homo digitalis – the digital man. He focuses on phatic communication, which in its intellectual meaninglessness is commensurate with the anthropological dimensions of post-truth society. Originality. It is substantiated that Homo digitalis is the result of a complex set of heterogeneous effects of scientific knowledge, which in modern post-truth conditions appears as different communicative practices. A condition for the formation of a new anthropological type of man in the perspective of scientific and technological progress is the affirmation of ethical wisdom. Conclusions. Knowledge in the process of evolution of socio-cultural life acquires constitutive significance for the process of formation of anthropological situations that manifest themselves in new images of man. Today, he is commensurate with the demands of digital culture, in which human life practices are increasingly becoming information and digital clusters embedded in the reality of a post-truth society. The means of overcoming the passivity of digital man is the formation of a new anthropological type based on a rethinking of the value system. (shrink)

This paper concerns modal logics of provability — Gödel-Löb systemGL and Solovay logicS — the smallest and the greatest representation of arithmetical theories in propositional logic respectively. We prove that the decision problem for admissibility of rules (with or without parameters) inGL andS is decidable. Then we get a positive solution to Friedman''s problem forGL andS. We also show that A. V. Kuznetsov''s problem of the existence of finite basis for admissible rules forGL andS has a negative solution. Afterwards we (...) give an algorithm deciding the solvability of logical equations inGL andS and constructing some solutions. (shrink)

Purpose. The purpose of the article is the analysis of the reasons and grounds of the crisis in the sphere of meaning-making, as well as searching answers to the questions about the meaning of human life in the contemporary world, which are maximally relevant in connection with the escalation of global problems, revealing the points of convergence between various theoretical positions, evaluation of their heuristic potential. Theoretical basis of the research is the historical-philosophical, comparative and system approaches, as well as (...) the analysis of philosophical insights in the field of global studies. Originality. Originality lies in the fact that this article is the first attempt to conduct comprehensive analysis in the problem of the sense of the Existence as it is presented in the first quarter of the 21st century and to relate it with the modern social situation that is characterized by a complex range of interconnected and interdependent anthropological problems of our time. Authors emphasize that the main reason in the crisis of meaning is that a man has lost touch with his roots, which is wildlife. He has created an artificial structure, civilization to satisfy his needs and finds no way to the transcendental, which is the true House of his being. Conclusions. A human must refuse from false self-conceit concerning his potential omniscience and omnipotence, cease dictating his own rules to the Existence, determine the boundaries of his freedom and try to clearly realize his place in the objective structure of being. The global situation can change for the better only if a dramatic change in the area of meaning-making happens. The decisive force, which may encourage nudging to the positive changes, can be either the free will of people who have realized the criticality of the situation or external natural and social circumstances that will make people reorganize radically. The proper prioritizing, a deep awareness of universal goals and solidarity between people could be the value basis that will become the foundation to find the meaning and create a more favorable future. (shrink)

A characteristic feature of the EU's current foreign policy course is its stepping up its policy towards relations with Islamic countries, especially the Middle East and Middle East, and enhancing its role in addressing key issues in the region. To date, the region has been identified in the Council of Europe and European Commission documents as a "key foreign policy priority".

The idea of the common good has been a signature feature of Catholic social teaching and so of modern Catholic engagement in public affairs. It has recently been suggested that the notion is now obsolete due to changes in the culture and politics of the West. In keeping with this suggestion, some argue that Catholics should abandon it in favor of an appeal based on lower intermediate goods in a manner more related to Augustine’s engagement with the largely pagan culture (...) of his time than to Aquinas’s categories tailored to an integrally Christian society. I argue that such a solution misreads aspects of the tradition and of the present political and cultural situation and I suggest some alternative grounds on which Catholic engagement with contemporary public life should proceed and that thinking again about the common good is a necessary part of such engagement. (shrink)