Infinitesimals

Conclusion The infinitesimal methods commonly used in the 17th and 18th centuries to solve analytical problems had a great deal of elegance and intuitive appeal. But the notion of infinitesimal itself was flawed by contradictions. These arose as a result of attempting to representchange in terms ofstatic conceptions. Now, one may regard infinitesimals as the residual traces of change after the process of change has been terminated. The difficulty was that these residual traces could not logically coexist with the static quantities traditionally employed by mathematics. The solution to this difficulty, as it turns out, is to regard these quantities asalso being subject to (a form of) change, for then they will have the same nature as the infinitesimals representing the residual traces of change, and will become,ipso facto, compatible with these latter.In fact, the category-theoretic models which realize the Principle of Infinitesimal Linearity may themselves be regarded as representations of a general concept of variation (cf. Bell (1986)). While the static set-theoretical models represent change or motion by making a detour through the actual (but static) infinite, the varying category-theoretic models enable such change to be representeddirectly, thus permitting the introduction of geometric infinitesimals and, as we have attempted to demonstrate in this paper, the virtually complete incorporation of the methods of the early calculus.It is surely a remarkable — even an ironic — fact that the contradiction between the flux of the objective world and the stasis of mathematical entities has found its resolution in category theory, a branch of mathematics commonly, and, as one now sees, mistakenly, regarded as the summit of gratuitous abstraction.     

Television sex roles in the 1980s: Do viewers' sex and sex role orientation change the picture?

This study investigated viewer perceptions of female and male television characters as a result of viewer sex and sex role orientation. Young adult viewers (N=677) rated television characters and themselves using the Personal Attributes Questionnaire (PAQ). Viewers were classified as feminine, masculine, androgynous, or undifferentiated in their PAQ orientations. The television characters were four men and four women who shared the lead and a working relationship on crime action shows. Results indicated that viewers rated all the male characters as stereotypical masculine, but only one female character as stereotypical feminine. Viewer sex and sex role orientations did affect ratings. Viewer sex had a greater impact on the ratings of female characters than on the ratings of male characters. Female viewers tended to rate female characters as higher in instrumental and masculine traits than male viewers did. Results based on sex role orientation of the viewer were inconsistent across characters, but in general, undifferentiated viewers rated both male and female characters as low in expressive and instrumental traits compared to how androgynous viewers rated them. Further, a masculine sex role orientation appeared to block perception of expressive traits in both male and female characters.This research was supported in part by a University of Akron faculty research grant.     

Degree of Detail of Eyewitness Testimony and Mock Juror Judgments1

The influence of the degree of detail of eyewitness testimony on two sides of a court case was investigated in two experiments. In the first experiment subject-jurors read a civil court case involving an automobile-pedestrian accident. The plaintiff and the defendant presented conflicting eyewitness accounts. Judgments of the relative credibility of the eyewitnesses on each side and the percentage of negligence of the parties were influenced by the relative degree of detail of the eyewitness testimony on each side. In the second experiment subject-jurors read a criminal court case involving robbery and murder. The prosecution and defense presented conflicting eyewitness accounts. The degree of detail of the prosecution eyewitness testimony influenced judgments of guilt and judgments of the credibility of the eyewitnesses. An examination of the reasons for verdicts and credibility judgments revealed that some subjects inferred that an eyewitness who gave testimony with a greater degree of detail had a better memory for the trivial details and the culprit than an eyewitness who gave testimony with a lesser degree of detail. Implications of these results for the legal system are discussed.     

The influence of color and demand characteristics on muscle strength and affective ratings of the environment

Demand characteristics may influence claims that the color pink inhibits muscle strength whereas blue increases muscle strength. In Experiment 1, undergraduates (N = 59; 30 women, 29 men) were told either that the experimenters thought pink would increase and blue decrease strength or that blue would increase muscle strength and pink decrease muscle strength. A hand dynamometer assessed grip strength as subjects stared at each of 8 differently colored panels. Results indicated that men viewing the pink or orange panels had higher grip strength under pink-strengthen than under pink-weaken instructions. The reverse relationship was found for men viewing a green panel. For women, the pink-weaken instructions resulted in a higher grip strength than did the pink-strengthen instructions, regardless of actual color present. In Experiment 2, women in a no-instruction control condition had lower grip strength than women given the pink-weaken instructions. For men, the control (no-instruction) condition resulted in higher grip strength than the pink-weaken condition. Results of both studies suggest that men followed overt demand characteristics but that women reacted with increased intensity to any suggestion that a stereotypically feminine pink is associated with weakness.     

Using the Family Paper Sculpture for education,therapy, and research

The Family Paper Sculpture is a semi-projective task useful in family life education, in clinical work with families, and in research involving family system variables. Families or individuals are asked to make a picture of the family using round disks for individuals, red and black strips to show similarities and differences among individuals, and boundary markers to show individuals who are separate, or pairs, or groups of individuals who belong together. Examples are given which demonstrate the value of the technique for educational, therapeutic, and research purposes.She is on leave from the University of Houston-Clear Lake, Houston, Texas, where she is an Associate Professor of Behavioral Sciences.The research reported here was supported in part by grants from the (U.S.) National Institute of Mental Health.     

The effects of affirmative action on male-female relationships among African Americans

This article focuses on the little-discussed issue of the impact of affirmative action on black male-female dynamics and interpersonal relationships. Three decades of civil rights campaigns, including often-controversial affirmative action policies, have produced several unanticipated consequences, one of the most crucial being the great disparity between African American males and females in social and economic advancement. While black women have achieved, black men have fallen behind, in part due to the subtle racism of affirmative action implementation. Using fantasy to search for new truths and better directions, the article presents a fictionalized account of the devastating effect of this disparity on African American women. Black women's reactions to the allegorical symbolism of the Twenty-Seventh Year Syndrome are dealt with in the article, and become the basis for reconsidering the message of the Chronicle and enlarging upon its meaning for black male-female relationships, and for the future of affirmative action and other programs of racial uplift.     

Experiential self‐understanding

The notion of insight is at one and the same time central to psychoanalysis and to the self‐understanding that is part of everyday life. Through clinical material and critical engagement with contemporary philosophical work on self‐knowledge, this paper clarifies one crucial aspect of this key notion. Self‐understanding of the sort we have in mind, while of course involving cognitive elements, is not sufficiently accounted for by cognition about one's affects, motivations, or other aspects of the psyche, nor by the simple conjunction of such cognition with felt affect, motivational urges, etc. Nor is it best modelled in terms of internal self‐observation. Rather, it is the product of an ongoing process of the unfolding articulation of one's psychic life. The notion of experience is important here in three ways. First, lived experience is that out of which the self‐understanding arises. Second, this self‐understanding is a development and articulation of these aspects of our inner lives; it is a part of that same lived perspective. And third, this understanding in turn shapes one's experience of one's inner world: as it is attained, one's experience of oneself thereby changes. Central here is the emphasis upon a developing process involving the ability to speak from one's subjective perspective while experiencing one's subjective perspective as the perspective that it is.     

Neither Muslim nor Other: British Secular Muslims

Secular Muslims constitute a significant group within the Muslim population of the UK, though under the prevalent multicultural policies their voice is often ignored. This article introduces some of the more outspoken secular, ex-Muslim, and atheist British Muslims and analyses their positions toward major issues that preoccupy the Muslim community and society at large. The secularists are highly critical of multiculturalism for creating mutually hostile communities controlled by conservative religious leaders. In the heated public debate on Islamism, they oppose both its militant and its more pragmatic versions. They are strongly opposed to religious terrorism, and also to the imposition of Sharia law, the wearing of hijab, and separate Islamic schools, though they may differ as to the right ways to combat them. Caught between Islamism, which is often supported by the radical left, and the far right, Muslim secularists are among the staunchest supporters of universal human values and of integration.     

The Structure and Sources of Right‐wing Authoritarianism and Social Dominance Orientation

Right‐wing authoritarianism (RWA) and social dominance orientation (SDO) are widely used constructs in research on social and political attitudes. This study examined their hierarchical and correlative structure (across sexes, generations and rater perspectives), as well as how genetic and environmental factors may contribute to individual differences in them (using different rater perspectives and nuclear twin family data). We found a substantive common aspect (beyond shared artificial variance arising from socially desirable responding) underlying both RWA and SDO: aggression against subordinate groups. We discussed how this aspect could help to explain the commonly reported correlation between the two concepts in Western countries. Estimates of genetic and environmental components in RWA and SDO based on self‐reports were quite comparable with those based on peer reports. When controlling for error variance and taking assortative mating into account, individual differences in RWA were primarily due to genetic contributions including genotype–environment correlation, whereas variance in SDO was largely attributable to environmental sources shared and not shared by twins. The findings are discussed in terms of the utility of RWA and SDO as basic constructs to describe individual differences in social attitudes and with respect to the different patterns of genetic and environmental influences that underlie them. Copyright © 2016 European Association of Personality Psychology     

Early Adult Outcomes of Students at “Risk”

It is commonly assumed that students from disadvantaged backgrounds often drop out of school and that dropping out necessarily leads to low educational attainment and negative labor force outcomes. Using data from the High School and Beyond sophomore cohort from the years 1980 to 1992, this paper assesses the validity of that assumed sequence of educational and labor force outcomes. The analysis is organized around the hypothesis that it is not just dropping out of school but also later actions taken by the students who are at risk that explain their poor early adult outcomes. Comparisons are made between those with many of the specified risk characteristics and those with none of them. For both educational attainment and earnings, the later contingent actions explain more of the difference between high-risk and no-risk students than being a high school dropout does. The results show the importance of examining the role of career contingencies and taking multiple life domains into account.