Algebras of Intervals and a Logic of Conditional Assertions

Intervals in boolean algebras enter into the study of conditional assertions (or events) in two ways: directly, either from intuitive arguments or from Goodman, Nguyen and Walker's representation theorem, as suitable mathematical entities to bear conditional probabilities, or indirectly, via a representation theorem for the family of algebras associated with de Finetti's three-valued logic of conditional assertions/events. Further representation theorems forge a connection with rough sets. The representation theorems and an equivalent of the boolean prime ideal theorem yield an algebraic completeness theorem for the three-valued logic. This in turn leads to a Henkin-style completeness theorem. Adequacy with respect to a family of Kripke models for de Finetti's logic, ukasiewicz's three-valued logic and Priest's Logic of Paradox is demonstrated. The extension to first-order yields a short proof of adequacy for Körner's logic of inexact predicates.     

On Modal μ-Calculus and Non-Well-Founded Set Theory

A finitary characterization for non-well-founded sets with finite transitive closure is established in terms of a greatest fixpoint formula of the modal -calculus. This generalizes the standard result in the literature where a finitary modal characterization is provided only for wellfounded sets with finite transitive closure. The proof relies on the concept of automaton, leading then to new interlinks between automata theory and non-well-founded sets.     

Is transference the ‘total situation’?

This paper examines through the detailed explication of analytic material the author's experience of a psychoanalytic and a Jungian way of understanding the interactions between him and his patient. This comparative approach considers where the differences lie with respect to timing and content of interpretations and where the differences are essentially tactical rather than theoretical.     

人体系统非优性的进化论诠释

从进化论的角度论述了人体系统非优性的成因,说明了生物竿化在人体系统中保留下大量的时空沉迹,其形式与特征表现为层次套叠,多元集合,转化退化。从而成为新与旧,高级与低级,复杂与简单,一句话就是优 与非优相互缠绕,相互作用,互补关联的协同统一性,而疾病的发生则是这种辩证统一的失调或破坏。     

Towards international comparative research on the professionalisation of Religious Education

This article calls for international comparative research on the professionalisation of Religious Education (RE). To this end, it provides a rationale for focusing upon the concept of professionalisation and a theoretical justification for international comparative research, particularly identifying its significance in terms of the development of RE in England and Germany. The article outlines a methodology for exploring the concepts of professional knowledge, professional self-organisation and politics and professional development. The proposed methodology involves a systematic analysis of primary documentary sources including: (1) academic and professional journal articles and textbooks; (2) the archives of relevant institutions and organisations; and (3) external evidence, such as inspection and research reports. An analytical case study of two leading journals in each national context, Religion in Education in England and Der Evangelische Erzieher in Germany, in the immediate post-war era is appended to illustrate the benefits of implementing such a methodology across national boundaries.     

RELIGIOUS ETHICS AND EMPIRICAL ETHICS

In recent decades, cognitive and behavioral scientists have learned a great deal about how people think and behave. On the most general level, there is a basic consensus that many judgments, including ethical judgments, are made by intuitive, even unconscious, impulses. This basic insight has opened the door to a wide variety of more particular studies that investigate how judgments are influenced by group identity, self‐conception, emotions, perceptions of risk, and many other factors. When these forms of research engage ethical issues, they are sometimes called empirical ethics. This essay argues that the field of religious ethics would benefit from a more robust engagement with empirical ethics than it has thus far undertaken. In doing so, it offers a brief account of how issues of moral psychology and moral anthropology have been treated in religious ethics, and it highlights ways that the scientific findings challenge some prevailing norms in religious ethics. It ends by suggesting avenues by which religious ethics research could productively engage empirical ethics.     

Dispositional and comparative optimism interact to predict avoidance of a looming health threat

Research indicates that when confronted with a health threat, individuals high in both dispositional and comparative optimism employ a more avoidant style of coping than individuals high in dispositional but low in comparative optimism. We examined the hypothesis that threat distance moderates this interactive optimism association. In two studies, participants were randomly assigned to a looming or distant threat condition. Study 1 revealed that in the looming threat condition, participants high in both forms of optimism were more likely to minimise the threat and less inclined to seek additional health information relative to participants high in dispositional but low in comparative optimism. In Study 2, the same interaction pattern emerged on a measure of psychological abstraction suggesting these variables combine to alter broad information processing strategies. Implications for considering multiple forms of optimism when delivering health status information are discussed.     

Executive Function in Young Children and Chimpanzees (Pan troglodytes): Evidence From a Nonverbal Dimensional Change Card Sort Task

In this article the authors compared chimpanzees’ executive function with that of children. They developed a nonverbal dimensional change card sorting task, which indexed the development of executive function. Three pairs of mother and offspring chimpanzees and 30 typically developed 5-year-old children were presented with 2 target stimuli and a test stimulus comprising 2 dimensions (size and shape) on a display; they were required to sort the test stimulus according to 1 dimension (e.g., shape). After 5 consecutive correct trials, the participants had to sort the test stimulus according to the other dimension (e.g., size). The results showed that the chimpanzees often failed to sort the test stimuli according to the first and reversed dimensions. On the other hand, the children were correctly able to use both dimensions. These results indicate that chimpanzees may have less developed executive skills than children.