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.     

Children's behavioral styles at age 3 are linked to their adult personality traits at age 26

We observed 1,000 3-year-old children who exhibited five temperament types: Undercontrolled, Inhibited, Confident, Reserved, and Well-adjusted. Twenty-three years later, we reexamined 96% of the children as adults, using multiple methods of comprehensive personality assessment, including both self- and informant-reports. These longitudinal data provide the longest and strongest evidence to date that children's early-emerging behavioral styles can foretell their characteristic behaviors, thoughts, and feelings as adults, pointing to the foundations of the human personality in the early years of life.     

Inhibitory attentional control in patients with frontal lobe damage

The performance of a group of frontal lobe lesion and a group of frontal lobe dementia patients was compared with the performance of their respective matched normal control groups on two tests of inhibitory attentional control-the stop-signal reaction time task and a negative priming task. Both patient groups responded significantly slower than their respective normal control groups, but they showed only marginally significant selective impairments on the measures of inhibition. The data suggest that the specific inhibitory processes evaluated by these two tests are, in general, spared in patients with focal frontal lobe lesions or frontal lobe degeneration.     

Differential effects of emotional arousal in short- and long-term memory in healthy adults

Recent studies demonstrated important differences between short- and long-term memory mechanisms. Besides, the emotional component has a crucial role in memory formation. This study was carried out to answer whether there is a differential influence of emotional arousal in short- and long-term memory in healthy adults. Thirty-one healthy volunteers were divided into two major groups. In the first group long-term memory (LTM) was evaluated, with the testing session one week after training. The second group was tested 1h after training, where short-term memory (STM) was evaluated. Each group was divided in to two subgroups. One half of the volunteers was exposed to an emotionally neutral story, and the other half of each group was exposed to a closely matched but more emotionally arousing story. The testing session consisted of a questionary containing 80 questions of multiple choices. The results were evaluated through percentage of correct answers. Results showed that correct answers were increased, in LTM measures, in the subjects that were given the emotional version of the test. In STM measures, no differences were found between the emotional and neutral version. However, the presentation of emotional story caused an emotional reaction in both groups. The lack of effect of emotional arousal in STM suggests that amygdala is not related to STM mechanisms. Further studies using different approaches are needed to elucidate if STM processes are influenced by emotional arousal.     

Children as carers: the impact of parental illness and disability on children's caring roles

The nature and extent of young caring in the UK continue to be a feature of a growing number of research programmes motivated by a children and carers' rights philosophy. However, the context in which young caring occurs as a result of parental ill-health or disability can only be fully understood by examining the findings and implications of medical research into parental impairment, and the social movements that have served to re-define the concept of 'disability' in society. This paper examines the arguments put forward by medical researchers, by those proposing a social model of disability and by those who have specifically investigated the conditions and experiences of young carers. It argues that children's caring roles within families where there is parental illness or disability need to be understood not only as a reflection of the nature of the medical condition itself, but as a consequence of complex family, social and economic processes. A 'whole family' approach is proposed, where the needs of children and parents are respected and responded to.     

Neurocognitive Performance in Alcoholics: Is Polysubstance Abuse Important?

The neurocognitive effects of alcohol have been frequently examined. Studies reveal a wide array of cognitive deficits. Attempts to develop a parsimonious model for these effects have been difficult because of the intra- and intersubject variability. Complicating the development of a model of cognitive deficits in substance abusers is the common practice of polysubstance abuse. The use of theoretical models that focus on the underlying cognitive processes offers flexibility while maintaining sufficient theoretical precision. This article briefly reviews the literature on neurocognitive changes associated with substance abuse as well as the various theoretical models that have been studied. It also provides an overview of recovery of function. Its primary objective is to evaluate cognitive function among alcoholic subtypes, defined by patterns of other drug use. This analysis suggests there are significant differences in neurocognitive function among these subtypes.     

Civic religion in England: Traditions and transformations

As the religious diversity of English towns and cities has grown over the past thirty years due to the establishment in some places of sizeable communities of Hindus, Muslims and Sikhs, as well as other faiths, there have been important changes to local public religion. Traditional civic ceremonies, such as Remembrance Sunday, as well as new forms of civic celebration and commemoration, are now increasingly taking account of the diversity of faiths represented in Britain. This paper examines the consequences of religious diversity for English civic religion by looking at some of the traditions of civic ceremonies in England and at the way in which they have been transformed by the changing religious landscape of towns and cities. The paper also explores some of the dilemmas and questions that have emerged both for the Church of England as well as for the other faith communities when it comes to the design and delivery of civic ceremonies.     

Mathematical engineering and mathematical change 1

In this paper, I introduce and examine the notion of “mathematical engineering” and its impact on mathematical change. Mathematical engineering is an important part of contemporary mathematics and it roughly consists of the “construction” and development of various machines, probes and instruments used in numerous mathematical fields. As an example of such constructions, I briefly present the basic steps and properties of homology theory. I then try to show that this aspect of contemporary mathematics has important consequences on our conception of mathematical knowledge, in particular mathematical growth.