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)

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)

In an era where decolonizing architectural pedagogy is imperative, cities stand as the forefront of radical thought, acting as crucibles for ideological, activist, and spatial dynamics. These urban landscapes are not just breeding grounds for new paradigms, but also reflect significant shifts in political and social frameworks. This study adopts the concept of the “radical city” as a prism to understand how local events echo global political and sociocultural disturbances. This research takes an innovative approach by integrating mixed-method pedagogies, student-driven (...) inquiries, and diverse case studies, spanning continents from Asia to Latin America, Europe to Africa, and the US to the UK. The aim is to explore the deep-rooted changes in these cities and to promote a decolonized approach to architectural education, moving beyond traditional, Eurocentric narratives. The backbone of this research is the course “Visualizing Radical Urbanism,” offered at the Huckabee College of Architecture, Texas Tech University, in Fall 2022 and Fall 2023. Through this course, students engage in a pedagogical journey involving exploration, research, analysis, and introspection on their selected radical city. Their diverse methodologies and expressive mediums converge in a comprehensive portfolio, showcasing their intellectual growth and culminating in a reflective essay on their urban subject. By focusing on educational research and time investment in this course, the study highlights the importance of sustained, critical engagement with urban environments. This approach not only enriches architectural education but also contributes to the broader discourse on urban activism and decolonization, reinforcing the need for diverse, inclusive, and globally aware architectural pedagogies. (shrink)

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)

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)

Purpose of the study is to find out the interdependence of the event as a factor of transformations in the established areas of human life and everyday routine as a way of existence of social being, which cover various types of human activity. Theoretical basis of the research is based on understanding of everyday routine as a form of social reality, a complex and multidimensional object that is constantly evolving, includes new forms of reality, and is influenced by various social (...) changes. The main function of everyday routine is the survival of individual and society, therefore the stable foundations of human existence play a dominant role in every life. In turn the event serves as a way of being existence, has a singular character, an individual expression, identifies elements that do not fit into the usual framework of everyday life. Originality of the obtained results lies in understanding event as the opposition of the phenomena world to the out of experience world of being, unexpected innovation that leads to the emergence of behaviours and structures that are new and unusual for everyday life. Event is not identical to empirical facticity, does not correspond to the usual understanding of phenomena and processes, and leads to a break from the everyday life, as it causes significant changes in human life on the individual and social levels. Unexpected change in everyday life caused by event is a traumatic collision with another dimension of being for an individual, as a result of it new meanings may open. Conclusions. On the background of everyday life, which is able to be in different states, function in a variety of relationships, to be manifested in numerous structures, junctions and connections, the event assumes the prospect of a new reality, contrary to previous representations. From existential point of view, event is always an interruption of everyday life, as for example, love or religious conversion. A large-scale event causes shocks that affect most or all individuals and communities that use multiple ways to react to an event – interpretation, selection, glorification, silence, valuations adjustment, phenomena, facts, celebration of holidays, rituals that are periodically repeated. (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)

Much progress has been made in the Soviet Union and a number of other socialist countries in studying and advancing the heritage of Marx and Engels in esthetics. The enrichment of our notions of the views of the founders of Marxism with respect to esthetics and literary criticism has promoted the further development of the discipline of esthetics. The progress achieved is the result and continuation of the work done by the older generation of Soviet philosophers, critics, and students of (...) literature fully thirty and thirty-five years ago in studying and elaborating the heritage of Marx and Engels. (shrink)

Two thought experiments are discussed which suggest, first, a geometric interpretation of the concept of a (say, vector) potential (i.e., as a kinematic quantity associated with a transformation between moving frames of reference suitably related to the problem) and, second, that, in a quantum treatment one should extend the notion of the equivalence principle to include not only the equivalence of inertial forces with suitable “real” forces, but also the equivalence of potentials of such inertial forces and the potentials of (...) suitable real forces. The two types of cancellation are physically independent of each other, because of the Aharonov-Bohm effect. Finally, we show that the latter effect itself can be understood “geometrically” as a kinematic effect arising upon the transformation between the two reference frames. (shrink)