Theology and Mathematics—Key Themes and Central Historical Figures

This article provides a survey of the history of the dialogue between the disciplines of mathematics and theology. It identifies three principal historical periods—the ancient, the scientific revolution, and modern. It identifies five key themes—the ontological status of mathematics; mathematics as a bridge to a noumenal world; God's relationship to the physical universe and how mathematics is part of this; truth—its nature, how we know it, certitude; and the role of mathematics in culture. The author develops these themes by exploring the thinking of several major historical figures.     

Veiled Reality and Structural Realism

Abstract

The noted philosopher of science, Bernard d'Espagnat, tries to mediate between objective reality and empirical reality via the notion of veiled reality: namely, while the laws proper to things in themselves are unknown, their existence and interrelated activity can be inferred from observation and analysis of human experience. The author claims that Whiteheadian creativity offers a better candidate for the notion of veiled reality because it is a transcendent activity, not a transcendent actuality. Likewise, a revision of the Whiteheadian category of society as a structured field of activity for its constituent actual entities indirectly confirms Henri Poincaré's notion of structural realism.     

Poverty tourism and the problem of consent

Is it morally permissible for financially privileged tourists to visit places for the purpose of experiencing where poor people live, work, and play? Tourism associated with this question is commonly referred to as ‘poverty tourism’. While some poverty tourism is plausibly ethical, other practices will be more controversial. The purpose of this essay is to address mutually beneficial cases of poverty tourism and advance the following positions. First, even mutually beneficial transactions between tourists and residents in poverty tourism always run a risk of being exploitative. Second, there is little opportunity to determine whether a given tour is exploitative since tourists lack good access to the residents' perspectives. Third, if a case of poverty tourism is exploitative, it is so in an indulgent way; tourists are not compelled to exploit the residents. In light of these considerations, we conclude that would-be tourists should participate in poverty tours only if there is a well-established collaborative and consensual process in place, akin to a ‘fair trade’ process.     

Surface lightness influences perceived room height

Surprisingly little scientific research has been conducted on the effects of colour and lightness on the perception of spaciousness. Practitioners and architects typically suggest that a room's ceiling appears higher when it is painted lighter than the walls, while darker ceilings appear lower. Employing a virtual reality setting, we studied the effects of the lightness of different room surfaces on perceived height in two psychophysical experiments. Observers judged the height of rooms varying in physical height as well as in the lightness of ceiling, floor, and walls. Experiment 1 showed the expected increase of perceived height with increases in ceiling lightness. Unexpectedly, the perceived height additionally increased with wall lightness, and the effects of wall lightness and ceiling lightness were roughly additive, incompatible with a simple effect of the lightness contrast between the ceiling and the walls. Experiment 2 demonstrated that the floor lightness has no significant effect on perceived height, and that the total brightness of the room is not the critical factor influencing the perceived height. Neither can the results be explained by previously reported effects of brightness on apparent depth or perceived distance.     

The influence of action on episodic memory: A virtual reality study

A range of empirical findings suggest that active learning is important for memory. However, few studies have focused on the mechanisms underlying this enactment effect in episodic memory using complex environments. Research using virtual reality has yielded inconsistent results. We postulated that the effect of action depends on the degree of interaction with the environment and freedom in the planning of an itinerary. To test these hypotheses, we disentangled the interaction and planning components of action to investigate whether each enhances factual and spatial memory. Seventy-two participants (36 male and 36 female) explored a virtual town in one of three experimental conditions: (a) a passive condition where participants were immersed as passenger of the car (no interaction, no planning); (b) a planning-only condition (the subject chose the itinerary but did not drive the car); (c) an interaction-only condition (the subject drove the car but the itinerary was fixed). We found that itinerary choice and motor control both enhanced spatial memory, while factual memory was impaired by online motor control. The role of action in memory is discussed.     

The importance of internal facial features in learning new faces

For familiar faces, the internal features (eyes, nose, and mouth) are known to be differentially salient for recognition compared to external features such as hairstyle. Two experiments are reported that investigate how this internal feature advantage accrues as a face becomes familiar. In Experiment 1, we tested the contribution of internal and external features to the ability to generalize from a single studied photograph to different views of the same face. A recognition advantage for the internal features over the external features was found after a change of viewpoint, whereas there was no internal feature advantage when the same image was used at study and test. In Experiment 2, we removed the most salient external feature (hairstyle) from studied photographs and looked at how this affected generalization to a novel viewpoint. Removing the hair from images of the face assisted generalization to novel viewpoints, and this was especially the case when photographs showing more than one viewpoint were studied. The results suggest that the internal features play an important role in the generalization between different images of an individual's face by enabling the viewer to detect the common identity-diagnostic elements across non-identical instances of the face.     

Reply to John Turri

Abstract

In this article I develop Heidegger’s phenomenology of poetry, showing that it may provide grounds for rejecting claims that he lapses into linguistic idealism. Proceeding via an analysis of the three concepts of language operative in the philosopher’s work, I demonstrate how poetic language challenges language’s designative and world‐disclosive functions. The experience with poetic language, which disrupts Dasein’s absorption by emerging out of equipmentality in the mode of the broken tool, brings Dasein to wonder at the world’s existence in such a way that doubt about its reality cannot enter the picture.     

Measuring Situation Awareness in Virtual Environment-Based Training

We evaluated the efficacy of a computer-based situation awareness (SA) measurement system for training dismounted infantry SA in an urban terrain virtual reality (VR) simulation. Based on past research, we hypothesized that the SA measures would be sensitive to individual (squad leader) differences, and that the frequency of specific probes would reveal differences in critical SA requirements among scenarios. Three infantry squads performed multiple trials across two different scenarios. A confederate platoon leader posed probes to squad leaders during trials and experts made ratings afterward. Results revealed squad leaders had similar responses to probes, despite differences in combat experience. Analysis of probe frequency revealed different high priority SA elements and decisions for each scenario. The SA behavior and communication ratings revealed differences among squads, which trended with experience. Measures of SA were also consistent across the test scenario as a result of similar mission types and task difficulties. We discuss the implication of our findings for future research and theory within this area.     

AULA virtual reality test as an attention measure: Convergent validity with Conners’ Continuous Performance Test

The majority of neuropsychological tests used to evaluate attention processes in children lack ecological validity. The AULA Nesplora (AULA) is a continuous performance test, developed in a virtual setting, very similar to a school classroom. The aim of the present study is to analyze the convergent validity between the AULA and the Continuous Performance Test (CPT) of Conners. The AULA and CPT were administered correlatively to 57 children, aged 6–16 years (26.3% female) with average cognitive ability (IQ mean = 100.56, SD = 10.38) who had a diagnosis of attention deficit/hyperactivity disorder (ADHD) according to DSM-IV-TR criteria. Spearman correlations analyses were conducted among the different variables. Significant correlations were observed between both tests in all the analyzed variables (omissions, commissions, reaction time, and variability of reaction time), including for those measures of the AULA based on different sensorial modalities, presentation of distractors, and task paradigms. Hence, convergent validity between both tests was confirmed. Moreover, the AULA showed differences by gender and correlation to Perceptual Reasoning and Working Memory indexes of the WISC-IV, supporting the relevance of IQ measures in the understanding of cognitive performance in ADHD. In addition, the AULA (but not Conners’ CPT) was able to differentiate between ADHD children with and without pharmacological treatment for a wide range of measures related to inattention, impulsivity, processing speed, motor activity, and quality of attention focus. Additional measures and advantages of the AULA versus Conners’ CPT are discussed.     

Understanding suicidal behaviour in young people referred to specialist CAMHS: a qualitative psychoanalytic clinical research project

A qualitative psychoanalytic clinical research project using a post-Kleinian contemporary approach was undertaken by a team of seven qualified and experienced child psychotherapists working in community Tier 3 Child and Adolescent Mental Health Services (CAMHS). A number of referred young people who deliberately harmed themselves or attempted suicide, who fulfilled the inclusion criteria and consented to participate, were offered an extended individual and family assessment. Grounded Theory analysis of the qualitative data led to the formulation of the Truth Danger Theory. Typical situations in which suicidal behaviour occurred were identified, including intergenerational confusion, neglect, physical and/or sexual abuse within the family, Oedipal conflict, maternal depression and families in which there was a chronically ill sibling. We found that there was a marked disparity between the young person's experience of relationships in the family and the family's own account of their situation, a fractured reality. This can be reflected in an incongruence in the young person's presentation, which may be misleading when assessing risk. The young person feels him/herself to be in a dead end from which there seems to be no escape. Self-harm, for some, contains this impossible dilemma (albeit pathologically) but when it does not, suicide may seem the only option. The Truth Danger Theory provides explanations and predictions for suicidal behaviour and has implications for clinical practice.