In his 1936 paper,On the Concept of Logical Consequence, Tarski introduced the celebrated definition oflogical consequence: “The sentenceσfollows logicallyfrom the sentences of the class Γ if and only if every model of the class Γ is also a model of the sentenceσ.” [55, p. 417] This definition, Tarski said, is based on two very basic intuitions, “essential for the proper concept of consequence” [55, p. 415] and reflecting common linguistic usage: “Consider any class Γ of sentences and a sentence which (...) follows from the sentences of this class. From an intuitive standpoint it can never happen that both the class Γ consists only of true sentences and the sentenceσis false. Moreover, … we are concerned here with the concept of logical, i.e.,formal, consequence.” [55, p. 414] Tarski believed his definition of logical consequence captured the intuitive notion: “It seems to me that everyone who understands the content of the above definition must admit that it agrees quite well with common usage. … In particular, it can be proved, on the basis of this definition, that every consequence of true sentences must be true.” [55, p. 417] The formality of Tarskian consequences can also be proven. Tarski's definition of logical consequence had a key role in the development of the model-theoretic semantics of modern logic and has stayed at its center ever since. (shrink)

Following Henkin’s discovery of partially-ordered (branching) quantification (POQ) with standard quantifiers in 1959, philosophers of language have attempted to extend his definition to POQ with generalized quantifiers. In this paper I propose a general definition of POQ with 1-place generalized quantifiers of the simplest kind: namely, predicative, or “cardinality” quantifiers, e.g., “most”, “few”, “finitely many”, “exactly α ”, where α is any cardinal, etc. The definition is obtained in a series of generalizations, extending the original, Henkin definition first to a (...) general definition of monotone-increasing (M↑) POQ and then to a general definition of generalized POQ, regardless of monotonicity. The extension is based on (i) Barwise’s 1979 analysis of the basic case of M↑ POQ and (ii) my 1990 analysis of the basic case of generalized POQ. POQ is a non-compositional 1st-order structure, hence the problem of extending the definition of the basic case to a general definition is not trivial. The paper concludes with a sample of applications to natural and mathematical languages. (shrink)

Recent research in numerical cognition has begun to systematically detail the ability of humans and nonhuman animals to perceive the magnitudes of nonsymbolic ratios. These relationally defined analogs to rational numbers offer new potential insights into the nature of human numerical processing. However, research into their similarities with and connections to symbolic numbers remains in its infancy. The current research aims to further explore these similarities by investigating whether the magnitudes of nonsymbolic ratios are associated with space just as symbolic (...) numbers are. In two experiments, we found that responses were faster on the left for smaller nonsymbolic ratio magnitudes and faster on the right for larger nonsymbolic ratio magnitudes. These results further elucidate the nature of nonsymbolic ratio processing, extending the literature of spatial–numerical associations to nonsymbolic relative magnitudes. We discuss potential implications of these findings for theories of human magnitude processing in general and how this general processing relates to numerical processing. (shrink)

IntroductionThe COVID-19 pandemic has led to unprecedented strain to healthcare systems worldwide and posed unique challenges to the healthcare professionals and the general public.ObjectivesThe aim of this study is to evaluate the impact of COVID-19 on the mental health, behavioral, and physical wellbeing of HCPs in the early and mid-term periods of the pandemic in comparison to non-HCPs. Thus, facilitating and guiding optimum planning and delivery of support to HCPs.Methods and AnalysisAn observational cross-sectional survey and cohort study aiming to enroll (...) over 1050 participants. Study questionnaires will be completed at baseline and after 6-weeks and 4-months. Recruitment initiated July 2020. The study was designed in London, United Kingdom, but open to participants worldwide. Baseline: Questionnaires comprising of validated self-administered screening tools for depression, anxiety, sleep-related issues, wellbeing, and burnout. The questionnaires also explore changes in behavior and physical wellbeing of the participants. In addition, associations of these mental health and behavioral factors with work-related factors and support will be explored. Six-weeks and 4-months follow-up: Follow-up questionnaires will assess change in symptoms of anxiety and depression, sleep disorders, use of alcohol and other substances, behavioral or interpersonal relationship changes. Physical wellbeing will be assessed through the presence of suspected or confirmed COVID-19 infection and absence from work. We will also evaluate the impact of variable provision of personal protection equipment, extended working hours, and concern for the wellbeing of family members, anxiety levels, and evidence of burnout.Statistical ConsiderationsThe study has 80% power to detect a 10% difference of combined depression and/or anxiety symptoms between the groups using two-sided type 1 error at 0.05 at baseline. Assuming that only 50% of these HCPs agree to be a part of a cohort survey, we will have 80% power to detect around 12% difference in the two groups in reported physical symptoms, or prevalence of depression and/or anxiety at the end of the study.EthicsThe study was approved by the Cambridge East, Research Ethics Committee.Trial Registration NumberClinicalTrials.gov, NCT04433260. (shrink)

The age of maturity of children to consent for medical research is under debate, as different authorities regard the capacity of young teenagers as either satisfactory or not to grant consent without parental participation in the process. The present paper contrasts the generally accepted guideline for ethics in paediatric research in Canada with what the same children are allowed and expected to be able to do as babysitters. This comparison reveals deep incongruences in the way the maturity of the same (...) children is appreciated for two different tasks. (shrink)

The article discusses human dignity in the aspect of modern challenges of technological civilization, which has entered a new stage of its development. Human dignity as a category of ethics remains underestimated, since in the first row of ethical values humanitarians, as a rule, put the categories of freedom and justice. Today, “dignity” acquires a special and higher status, the concept of human dignity is being rethought, going beyond the ethical category itself as a virtue. In the global world, human (...) dignity is a response to such contemporary challenges as the formation of a communicative world community with a focus on digital civilization, the anthropological problem of the future of humanity, the ecological situation on a global scale, the reorientation of the ethical and legal relations of a globalizing world. Human dignity is a problem of national-ethnic and national-state relations in the transition to transnational regulatory interactions. In the interpretation of the nation, the authors do not share the well-known two approaches to understanding the nation, on the one hand ethnocultural, and on the other - national-civil. Both approaches lead, whenever possible or necessary, to the transnational posing of the question, when human dignity becomes a priority regardless of nationality. In this connection, the utopian idea of the possibility of a global ethos is touched upon. The authors focus on the anthropoxy-axiological approach to the understanding of human dignity, where the cosmological principle of human existence is determined by his creative power. The urgency of the problem of human dignity is due to the fact that, as it were, in the modern life world a person did not put the economy above morality, the basis of human dignity in its being is a value moral consciousness, in the depth of which basic human values of transnational nature “work”, contradicting values consumer society driven by practical interests. Human dignity in this regard should be interpreted as an absolute value and at the same time one should take into account the multidimensionality of the problem of dignity in the context of modern globalization processes. Based on the ontological understanding of globalization as megatrends in the self-movement of the natural historical process, the authors substantiate the anthropological value of human dignity, which has universal, transcultural significance. The use of an anthropoxy-axiological approach and interdisciplinary methods reveals the universal value of virtue, based on the anthropo-social moral nature and the creative value of man. The creative transformational activity itself will not be worthy in quality without moral responsibility. The modern concept of human dignity is addressed to the ethics of responsibility, which means responsibility, which highlights the moral and axiological attitude to life, the adoption of responsible decisions in modern conditions of sociocultural interactions. In the context of globalization, the philosophy of human dignity becomes the dominant of all conscious-volitional activities, the core of the moral rethinking of the transnational and national ratio in the light of tolerance, the ability to non-violence. At the same time, the authors indicate in the formulation of the main issue of the philosophy of human dignity the possibility of going beyond the ethical category of human dignity, since the unchanging core of the universal human values of goodness-beauty-truth does not lose its meaning in the global, changing world. (shrink)