A free ultrafilter $\mathcal{U}$ on $\omega$ is called a $T$-point if, for every countable group $G$ of permutations of $\omega$, there exists $U\in\mathcal{U}$ such that, for each $g\in G$, the set $\{x\in U:gx\ne x, gx\in U\}$ is finite. We show that each $P$-point and each $Q$-point in $\omega^*$ is a $T$-point, and, under CH, construct a $T$-point, which is neither a $P$-point, nor a $Q$-point. A question whether $T$-points exist in ZFC is open.

New trends in the economic systems management in the context of modern global challenges: collective monograph / scientific edited by M. Bezpartochnyi, in 2 Vol. // VUZF University of Finance, Business and Entrepreneurship. – Sofia: VUZF Publishing House “St. Grigorii Bogoslov”, 2020. – Vol. 1. – 309 p.

We introduce proof nets and sequent calculus for the multiplicative fragment of non-commutative logic, which is an extension of both linear logic and cyclic linear logic. The two main technical novelties are a third switching position for the non-commutative disjunction, and the structure of order variety.

We define proof nets for cyclic multiplicative linear logic as edge bi-coloured graphs. Our characterization is purely graph theoretical and works without further complication for proof nets with cuts, which are usually harder to handle in the non-commutative case. This also provides a new characterization of the proof nets for the Lambek calculus (with the empty sequence) which simply are a restriction on the formulas to be considered (which are asked to be intuitionistic).

This work is devoted to the relations between Lambek’s Syntactic Calculus and noncommutative variants of Girard’s Linear Logic; in particular the paper will consider: the geometrical representation of the laws of LC by means of proof-nets; the discovery - due to such a geometrical representation - of some laws of LC not yet considered; the discussion of possible linguistic uses of these new laws.

Hilbert's conference lectures during the year 1922, Neuebegründung der Mathematik. Erste Mitteilung and Die logischen Grundlagen der Mathematik (both are published in (Hilbert [1935] 1965) pp. 157-195), contain his first public presentation of an axiom system for propositional logic, or at least for a fragment of propositional logic, which is largely influenced by the study on logical woks of Frege and Russell during the previous years.The year 1922 is at the beginning of Hilbert's foundational program in its definitive form. The (...) final public presentation by Hilbert of an axiom system for propositional logic is contained in the 1934 book Grundlagen der Mathematik, I (Hilbert and Bernays [1934] 1968). Sequent .. (shrink)

Данная работа является развитием и продолжением теоретических и концептуальных подходов к теме русской идеи, представленных в предыдущих работах автора. Рассчитана на специалистов-философов, аспирантов и преподавателей гуманитарных дисциплин.

The acceleration of the market globalisation process over the last three decades has internationalised clinical research and influenced both the way in which it is funded and the development and application of research practices. In addition, in recent years international multicentre randomised clinical trials have become the model par excellence for research on new medicines. The neoliberal model of globalisation has induced a decline in state power, both with regard to establishing national research for health priorities and to influencing the (...) development of adequate ethical guidelines to protect human beings that participate in multinational research. In this respect, poor and low-income countries, which lack sustainable control and review systems to deal with the ethical and methodological challenges of complex studies conducted by researchers from affluent countries and funded by large multinational pharmaceutical companies, are particularly vulnerable. The aim of the present paper is to explore critically some of the actual and possible ethical pitfalls of globalisation of clinical research and propose mechanisms for turning transnational clinical research into a more cooperative and fairer enterprise. (shrink)

Objectives: To examine the perspectives of journal editors and authors on overlapping and redundant publications in clinical research.Design: Pretested cross-sectional survey, containing both forced choice and open ended questions, administered by mail to the senior editors and one randomly selected author from all journals in the Abridged Index Medicus that published clinical research.Main measurements: The views of editors and authors about the extent of redundant publications, why they occur, how to prevent and respond to cases, and when the publication of (...) overlapping manuscripts is justified.Results: Seventy two per cent of editors and 65% of authors completed the survey. There was consensus between both groups that redundant publications occur because authors feel the pressure to publish and journals do not do enough to publicise, criticise, and punish cases, and that the publication of most types of overlapping articles is unacceptable. Sixty seven per cent of authors but only 31% of editors felt, however, that it was justified to publish an overlapping article in a non-peer reviewed symposium supplement, and 68% of editors but 39% of authors supported imposing restrictions on guilty authors’ future submissions. In written comments, 15% to 30% of both groups emphasised that it was justified to publish overlapping articles when there were different or non-English-speaking audiences, new data, strengthened methods, or disputed findings.Conclusions: Editors, authors, and other academic leaders should together develop explicit guidelines that clarify points of contention and ambiguity regarding overlapping manuscripts. (shrink)

In the article there is prevailed an idea that a kernel of the dynamic time ("past-present-future" integrity) is present. The nature of "the present" is concluded in social action. The present exists as a social act. To justify this point of view the author addresses to modern leading philosophers' works.

The article discusses issues explaining the effectiveness of practical application of mathematical results. The proposed approach is based on Leibniz’s metaphysics, a modern system theory and non-rational view of selection criteria in the “future needs” models.

Purpose. The purpose of this paper is to investigate the anthropological and socio-philosophical dimensions of human existence of the older age group given the challenges of pandemic threats caused by COVID-19. To this end, it is planned to solve a number of tasks, among which one should distinguish the following: 1) to investigate the manifestations of age discrimination in the context of the social and labor areas of human existence; 2) to focus on the asymmetry of the behavior of society (...) and the state relative to persons of the older age group in the field of healthcare in the context of a pandemic crisis; 3) to represent the anthropological features of changes in the socialization and activity of older people under the current conditions of globalization-pandemic challenges. Theoretical basis. Despite such a broad representation of the age-related issue in public relations, there are still no practical guarantees that would apply to discriminatory aspects of older age groups in various areas of their manifestation. The synergistic evolution of social reality requires substantive analysis of the issue under the current conditions for the transformation of social life, which is affected by globalization crises caused by the pandemic threats of COVID-19. Originality. The stereotypical assumptions underlying legal policy and established social relations are based solely on the application of chronological age. The novelty is in justifying an individual approach to the elderly through the personification of the personal characteristics of a person. The study of anthropological and socio-philosophical dimensions of the existence of a person of the older age group in the face of the challenges of pandemic threats caused by COVID-19 has made it possible to analyze the destructive nature of age discrimination in the context of the social and labor areas of human existence. As well as focus on the asymmetry of the behavior of society and the state in relation to these persons in the field of health care, and emphasize the anthropological features of changes in the socialization and human activity under the current conditions of globalization-pandemic challenges. Conclusions. External threats to human existence call for special attention to the implementation and protection of human rights, freedoms, individual freedoms, and identity. Pandemic threats have transformed all dimensions of human existence, especially for those groups of society that are less socially protected. The pandemic crisis has created additional grounds for discrimination against older people in various areas of human existence. Equalization of persons by age without personifying the personal characteristics of an individual is discrimination on an age basis, which violates the principles of democracy and humanism in the society, leads to stigmatization of the person, is the cause of the anthropological crisis of a person. (shrink)

Purpose. The article is aimed to study the anthropological, socio-philosophical and philosophical-legal dimensions of the ontological sphere of human life within the discourse of restricting human rights during pandemic threats. To do this, one should solve a number of tasks, among which are the following: 1) to explore the anthropological and praxeological understanding of fear as a primary component of human existence in a pandemic, which prevents people from changing their lives for the better and healthier, having fun and happiness; (...) 2) to put a focus on the habituation of fear as a two-dimensional adaptation to risks and threats from pandemics; 3) to reflect the anthropological features of changes in human life experience under the influence of the COVID-19 pandemic in the discourse of human rights and public health measures. Theoretical basis. Today, international guiding principles on human rights response to global natural threats have been updated. However, there are still no specific legal recommendations concerning measures on human rights protection during outbreaks of various infectious diseases. However, the influence of unexpected global challenges causes a change in the anthropological component of society and the state, so it requires immediate comprehensive research. Originality. It was substantiated a systematic approach to the implementation of modern healthcare policy towards the recognition of human life as the highest value, increasing the level of psychological preparedness for pandemic challenges and approximation of statutory provisions of human rights protection to modern challenges and threats to the health of the individual, society and state. The study of anthropological, socio-philosophical and philosophical-legal dimensions of human existence in the discourse of pandemic threats made it possible to reveal the profound influence of fear on human life, social justice and, consequently, identify the moral and legal dependence of the development level of society and the state on the level of axiological and anthropological concept of human dignity. Conclusions. Based on the study of statistical reports, international analysis and the use of personal authorial methods, the following can be stated: the methods of combating the modern pandemic have directly affected everyone on national and international level. Their influence is significant because it changes the rules of coexistence and life of people in all spheres. However, the influence on the consciousness and other intentions of the individual has mostly temporally insignificant limits. (shrink)

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)