Beyond first-order logic: the historical interplay between mathematical logic and axiomatic set theory

What has been the historical relationship between set theory and logic? On the óne hand, Zermelo and other mathematicians developed set theory as a Hilbert-style axiomatic system. On the other hand, set theory influenced logic by suggesting to Schröder, Löwenheim and others the use of infinitely long expressions. The question of which logic was appropriate for set theory — first-order logic, second-order logic, or an infinitary logic — culminated in a vigorous exchange between Zermelo and Gödel around 1930.     

Women's views about intimate examinations and sexually inappropriate practices by their general practitioners

Abstract

The aim of this survey of 472 adult women was to assess women patients' feelings about intimate examinations and their perceptions and experiences of sexually inappropriate medical practice. Two-thirds of women preferred a women doctor for intimate examinations. Slightly more than two-thirds found intimate examinations embarrassing and stressful, and strongly expressed the need for information and on-task, health-related comments during these examinations. General personal comments or non-medical touching were not particularly welcomed, even for the purpose of comforting the patient. There was a range of views about patients' personal relationships with doctors, with the lines between acceptable and unacceptable behaviour somewhat ambiguous. A small but significant number of women perceived that they had been sexually harassed (5%) or abused (3%) by a doctor, with this experience more common for non-English speaking women. Results were discussed in terms of implications for improved doctor practice, particularly during intimate examinations and with vulnerable patients.     

Do perceived differences in religion matter at work?

Over 90% of the United States population affiliates with an organised religion. There has been, however, very little research regarding religion in work organisations. This study focuses on the effects of individual perceptions of religious dissimilarity, as a characteristic of deep-level diversity, on perceived cohesion. A scale is developed to measure individual perceptions of the dissimilarity of religion. Two different studies are used to establish reliability and validity of this scale. In addition, some implications of the negative relationship between individual perceptions of religious dissimilarity and perceived cohesion for organisations are discussed.     

A Cantorian Argument Against Infinitesimals

In 1887 Georg Cantor gave an influential but cryptic proof of theimpossibility of infinitesimals. I first give a reconstruction ofCantor's argument which relies mainly on traditional assumptions fromEuclidean geometry, together with elementary results of Cantor's ownset theory. I then apply the reconstructed argument to theinfinitesimals of Abraham Robinson's nonstandard analysis. Thisbrings out the importance for the argument of an assumption I call theChain Thesis. Doubts about the Chain Thesis are seen to render thereconstructed argument inconclusive as an attack on the infinitelysmall.     

A meta‐analysis of serotonin metabolite 5‐HIAA and antisocial behavior

During the past 25 years, researchers have examined the relationship between neurochemical variables and antisocial behavior in human adults, but none has been studied more intensely than the serotonin metabolite 5‐hydroxyindoleacetic acid (5‐HIAA). The goal of the current study was to employ meta‐analytic procedures to quantitatively evaluate selected evidence on the relationship between 5‐HIAA and antisocial behavior. It was expected that antisocial groups would show reduced cerebrospinal fluid 5‐HIAA compared with non–antisocial groups. This study also aimed to assess moderators that could influence the relationship between 5‐HIAA and antisociality. An electronic search and strict inclusion criteria identified 20 reports used in this meta‐analysis. Results showed a significant overall mean effect size (ES = –.45, P < .05) in the direction of lowered 5‐HIAA in antisocial vs. non–antisocial groups. A significant moderating effect for age indicated that groups comprised of antisocial individuals younger than 30 years exhibited larger negative effect sizes (ES = –1.37, P < .05) than groups with older subjects (ES = –.31, P < .05). There were no moderating effects for gender, target of violence, history of suicide, and alcoholism. Age effects may help explain age‐related declines in crime. The fact that effects did not differ based on other moderating variables supports models of reduced serotonin in antisocial individuals, regardless of type of crime or psychiatric problems. Aggr. Behav. 28:299–316, 2002. © 2002 Wiley‐Liss, Inc.     

Interfaith Dialogue and the Science-and-Religion Discussion

The science-and-religion dialogue has so often assumed that the key issues for discussion are those that have arisen within the Western Christian religious and intellectual tradition that little interest has been devoted to the possible insights that the presence of non-Christian voices in the dialogue might bring. In the following I explore the benefits of a truly multireligious dialogue on science and religion and offer a model for integrating various religious perspectives into the science-and-religion dialogue. Of course, taking the multifaith perspectives of the religions seriously also means making a dialogue between religions a component of the science-and-religion dialogue, and I discuss how such a dialogue might unfold along with key ideas that might emerge in ever more interesting ways once the dialogue begins.