A partially ordered extention of the integers

This paper presents a monotonic system of Post algebras of order +* whose chain of Post constans is isomorphic with 012 ... -3-2-1. Besides monotonic operations, other unary operations are considered; namely, disjoint operations, the quasi-complement, succesor, and predecessor operations. The successor and predecessor operations are basic for number theory.The editing of this unified version of two previous papers [Epstein, Rasiowa 1990, 1991] by the authors was completed, except for footnotes, while the first author visited at Warsaw University during June–July, 1994. The footnotes were added by the first author in September, 1994.Presented byRyszard Wójcicki     

Applications of object relations theory and self-psychology in current group therapy

In an effort to explore how group therapists can apply psychoanalytic theory in the group modality to advantage, two major developments in analytic theory are examined. 1) Kernberg stresses the neutral interpretive stance and utilizes concepts of protective identification and splitting in dealing with borderline pathology. This paper illustrates concretely how such theory can be used by the group therapist to encourage working through in the group situation. 2) Kohut's work stresses the empathic, nurturant analytic stance and focuses upon idealization, the grandiose self and the self-object. An understanding of these concepts helps the group therapist avoid obstacles in the treatment of narcissistic patients and can enrich the therapeutic work. The paper concludes that treatment of the difficult patient may be enhanced by the group situation in combination with specific psychoanalytic concepts.     

A Q-Methodological Study of Women's Subjective Perspectives on Mathematics

The objective of this study was to explore, using Q-methodology, women's subjective reactions to and experiences with mathematics. Ninety-six undergraduate women from a private university conducted Q-sorts on items that related to their personal experiences, attitudes, and belief/awareness of gender stereotypes for math. On the basis of the Q-factor analysis, three unique perspectives toward math emerged. The perspectives were classified as Successfully Encouraged, Stereotypically Discouraged, and Mathematically Aversive. These groupings were differentiated by their variety of experiences, attitudes, and awareness of stereotypes about math. Measures of math self-schema, math anxiety, and self-reported math ability were also used to interpret the groupings. This research revealed the women's various experiences with and attitudes toward math. The findings are integrated with previous theories in order to understand women's underrepresentation in math-related fields.     

The artist as transgressor in Mandel'štam's poetry

In Mandel'tam's writing, artistic creativity is described as based on the indispensable yet contradictory modes of compliance and deviation. The artist, by his artistic nature, must be an obedient disciple to the tradition that inspires him, and, at the same time, a violator who renders what inspires him in an individual form. Thus, art implies iterability through novelty. In the totalitarian state, this double nature of art acquires a sinister context and brings the artist to an unavoidable conflict with the state. He has a choice between a servile compliance with the state's command and artistic independence. If the artist complies, he loses his ingenuity; if, on the other hand, he has the courage to break away from the established order, his fate is martyrdom. The criteria of truth and falsehood, the issue of loyalty, of compromise and collaboration or resistance become most relevant. Such words as outcast or non-contemporary acquire the meaning of non-collaborationist or enemy of the people. In the totalitarian state a genuine artist is viewed as a law-breaker, and his art leads him to crime. The notions of compliance and deviation cease being merely aesthetic terms and assume in Mandel'tam's poetry complex, subtle and tragic overtones.I would like to express my gratitude to John Barnstead, Thomas Blakeley, James Doull, Elena Glazov-Corrigan, Gregory Glazov, Leonard Kazdan, Peter Kussmaul, Malcolm Ross, Detlev Steffen, and Ieva Vitins for their valuable criticism, suggestions, and revisions of my English.     

How long is “now”? Phenomenology and the specious present

The duration of now is shown to be important not only for an understanding of how conscious beings sense duration, but also for the validity of the phenomenological enterprise as Husserl conceived it. If now is too short, experiences can not be described before they become memories, which can be considered to be transcendent rather than immanent phenomena and therefore inadmissible as phenomenological data. Evidence concerning (a) the objective duration of sensations in various sensory modalities, (b) the time necessary for sensations to enter consciousness and (c) the variability in the subjective sense of time's passing under different conditions is used to conclude that the duration of now can actually vary under normal conditions from about 10 ms to several seconds and in extreme cases up to several hours. Thus the immanent moment can be long enough to encompass a report of the contents of consciousness, making phenomenology a viable project. A further speculation from the evidence described is that consciousness takes discrete samples of the external world, at a rate inversely proportional to the duration of the now moment.     

Children's understanding of some temporal terms denoting order,duration, and simultaneity

This study examined the comprehension by children of the concepts of order, duration, and simultaneity as reflected in certain linguistic structures. The children in the study were 3, 5, and 7 years old. Temporal order was examined through children's comprehension of two-clause sentences containing the conjunctions after, before, since, and until. Temporal duration was examined through children's understanding of one-clause sentences containing the progressive aspect and two-clause sentences containing the conjunctions since and until. These two conjunctions signal duration in the main clause when they conjoin two clauses. Simultaneity was studied through children's comprehension of two-clause sentences containing while. The results revealed that the order sentence structures (before and after) were generally comprehended by the children before the duration or simultaneous sentence structures, although at 7 years of age children were still not performing above chance on the order relation in since and until sentences. The duration sentence structures were comprehended by the children before the simultaneous sentence structures. The results support the literature in cognitive psychology and in philosophy which argues that order is simpler than duration is simpler than simultaneity.This report is based on a dissertation submitted to the University of Michigan in partial fulfillment of the requirement for the Ph.D.     

Family therapy with one-parent families

In this article the author introduces an integrative approach to family therapy with one-parent families. This includes a diagnostic framework built on the developmental stages of the family, critical areas, and—most importantly—specific settings and therapeutic strategies based on the assumption that one-parent families can raise children as successfully as other families, but in a different manner.The term one-parent families is used in this article, although it is not the correct expression, simply because no child has only one parent. The term binuclear families does not fit with all of them, and single-parent-led families seems to be ambiguous but quite cumbersome to use.     

The Self Psychology of Heinz Kohut: What's It All About Theologically?

As a psychoanalytic thinker who offered by means of his self psychology a new paradigm of psychological development and functioning, Heinz Kohut was also a theologian manqué. With the help of the method of interpretation devised by Paul Tillich and David Tracy, Kohut's limit-concepts of tragic man, the self-object, and empathy, all set within his theory of narcissism, are elucidated as theological constructs. These are critiqued for adequacy from a Christian perspective. The conclusion is that Kohut's understanding of the human dilemma and of the way of salvation correlates well with Christianity, while his view of empathy as the means of salvation has created some confusion. Kohut has thus left an unfinished, profoundly important, agenda for theologians and clinicians.     

Illustrating two complementary enterprises at the interface of psychology and religion through reading Winnicott

Our work at the interface of psychology and religion can proceed in two complementary directions. When reading a psychological theory, (1) we may pay special attention to how certain concepts in particular, and the system of ideas as a whole, are being or might be used to interpret religious phenomena. We may focus on how those ideas may be involved in doing psychology of religion: the psychological interpretation of religious phenomena. Alternatively, (2) we may pay special attention to how certain concepts in particular, and the system of ideas as a whole, are being or might be used, either implicitly or explicitly, to make claims about human nature, about the meaning and purpose of life, about God. We may identify the psychology as religion-theology: psychological ideas potentially functioning in a religious-theological manner. I will illustrate this by: (a) examining D. W. Winnicott's article, Transitional Objects and Transitional Phenomena (1953/1986) in terms of three successive concepts or categories: transitional object, transitional phenomena, and a third intermediate area of experiencing; (b) considering how these categories can be used in psychology of religion; (c) reconsidering how the psychological categories may function as religious-theological. The discussion is intended to illustrate how we might more fully appreciate how and why a psychological theory may work well in doing psychology of religion when we more fully appreciate how that psychology implicitly functions as theology.     

Michael Balint's Group Approach: The Boston Balint Group

Michael Balint was a physician/psychoanalyst who trained in Hungary and emigrated to England in 1939 when Nazi Germany began to dominate Europe. At the Tavistock Clinic, he and his wife met with social workers and physicians around case discussion seminars. With his strong interest in medicine and his curiosity about the patient-physician relationship, he initiated research/training groups with interested physicians, which ultimately led to publication of the now-classic The Doctor, His Patient, and the Illness, a rich text that has become a virtual staple of family practice residencies, along with Balint Groups for training. Balint refrained from considering his groups psychotherapy in order to minimize resistance of his physician-students. But because the groups lasted sometimes for years and explored transference and countertransference in patient-physician relationships, he acknowledged that the result was personal growth of the participants. His techniques are described and an example of a Balint Group (Boston Group) are presented here.     

On finite approximability of ψ-intermediate logics

The aim of this note is to show (Theorem 1.6) that in each of the cases: = {, }, or {, , }, or {, , } there are uncountably many -intermediate logics which are not finitely approximable. This result together with the results known in literature allow us to conclude (Theorem 2.2) that for each : either all -intermediate logics are finitely approximate or there are uncountably many of them which lack the property.     

An educational-therapeutic group for drug and alcohol abusing combat veterans

Vietnam veterans have had a high incidence of substance abuse, resulting from attempts to control posttraumatic symptoms. Their recovery from drug and alcohol dependency has meant involvement in treatment for resolution of posttraumatic symptoms. The author found that the addition of a short-term educational-therapeutic group experience, focusing on the symptoms of posttraumatic stress disorder, was helpful for the participants. They worked-through important war-related experiences via the following phases: (1) Breaking through detachment and establishing control over disruptive symptoms, (2) Revealing experiences of death and dehumanization (3) Describing the internal death of self experience, and (4) Beginning the grief response.     

A longitudinal study of the marriage role expectations of college women: 1961–1984

The marriage role expectations of female university students enrolled in an introductory marriage and family course at the University of Kentucky in 1961 (N=72), 1972 (N=58), 1978 (N=115), and 1984 (N=81) were compared. The 1972 group was found to be significantly more egalitarian than the 1961 group in overall marriage role expectations and on all subscales except authority. The 1978 and 1984 groups were significantly more egalitarian than the 1961 group on overall marriage role expectations and on all seven of the subscales: authority, homemaking, child care, personal characteristics, social participation, education, and employment and support. The 1978 group was significantly more egalitarian than the 1972 group only on authority and homemaking, with no significant differences on the other five subscales or on overall role expectation score. The 1984 group was significantly more egalitarian than the 1972 group only on authority, homemaking, and child care, and was slightly (not satistically significant) more traditional on personal characteristics and social participation. There were no significant differences between the 1978 and 1984 groups on overall expectation or on any of the subscales. In fact, the 1984 group was slightly more traditional on homemaking, personal characteristics, social participation, employment and support, and overall expectations. The data from this study showed the greatest gain in egalitarian trends to be between 1961 and 1972, with a continuation of the trends at a somewhat slower rate of change between 1972 and 1978, and a discontinuation of the trend toward more egalitarian expectations between 1978 and 1984.The data were collected in February 1961, January 1972, September 1978, and September 1984. Special acknowledgement and appreciation are expressed to Jessie Ringo (retired), University of Kentucky, for making the 1961 data available for this study.     

Distinctions between subgroups of asthmatic children: Parental reactions to experimental separation

Parental reactions to experimental separation were analyzed for two groups of asthmatic children, those for whom behavioral factors were judged highly relevant to asthma and those for whom such factors appeared unimportant. The former group of 13 (predicted positives) had shown a highly significant improvement in asthma during separation from their families; the latter group of 12 (predicted negatives) had not. Coding of standardized interviews conducted around the time of separation disclosed that parents (mothers, especially) of predicted positives scored significantly higher than parents of predicted negatives on such scales as fussing over the child at the time of leave taking, missing child, experiencing pain and discomfort during the separation, being anxious over child's welfare, etc. Psychological test data did not discriminate between the parents' or childrens' groups as clearly as the more focused separation interviews but the test results were consistent with interview differences. The separation elicited very strong emotional reactions from several mothers.This study was supported by United States Public Health Service Grant No. HD01060 from the National Institute of Child Health and Human Development. Kirk Brady, John Means, loan Muser, and Claire Purcell contributed to data collection and/or data analysis.     

Dowód aksjomatyzowalności pewnychn-wartościowych rachunków zdań

Praca ta zostaa wykonana pod kierunkiem prof. drJerzego Supeckiego. Jej szczególny przypadek dotyczcyn-wartociowego rachunku zda o jednej wartoci wyrónionej by referowany w Warszawie na zjedzie Grupy Logiki Instytutu Filozofii i Socjologii PAN. Streszczenie tego referatu [5] zostao wydrukowane w Sprawozdaniach Wydziau Nauk Spoecznych PAN.Allatum est die 19 Aprilis 1963     

The numbers game: Gender and attention to numerical information

Research suggests that males outperform females on standardized tests of math ability from early adolescence onward. Several explanations for this difference focus on the different experiences of females and males with numerical information. We reasoned that males have more experience with numerical information than females because typical male interests (e.g., sports) are more likely to involve numerical information than typical female interests (e.g., physical appearance). Thus, we predicted that males would attend more to numerical information than would females, at least when the information was presented in a male-related or gender-neutral context. Females were expected to attend more than males when the context was female-related. Results using White/Caucasian subjects provided some support for these predictions. Implications for future research on the relationship between the gender-linkage of math materials and gender differences in math performance are discussed.     

The Client Is the Most Important Common Factor: Clients' Self-Healing Capacities and Psychotherapy

I first briefly review the dodo bird verdict and suggest that we should be responding to it by looking for a new way to conceptualize how therapy works. Then I describe the dominant medical or treatment model of psychotherapy and how it puts the client in the position of a dependent variable who is operated on by supposedly potent therapeutic techniques. Next I argue that the data do not fit with this model. An alternative model is that the client is the most important common factor and that it is clients' self-healing capacities which make therapy work. I then argue that therapy has two phases—the involvement phase and the learning phase—and that the involvement phase is the most important. I next review the five learning opportunities provided by therapy. Finally, I argue that a relational model of therapy focused on consultation, collaboration, and dialogue is better than a treatment model.     

Naive realism about operators

A source of much difficulty and confusion in the interpretation of quantum mechanics is a naive realism about operators. By this we refer to various ways of taking too seriously the notion of operator-as-observable, and in particular to the all too casual talk about measuring operators that occurs when the subject is quantum mechanics. Without a specification of what should be meant by measuring a quantum observable, such an expression can have no clear meaning. A definite specification is provided by Bohmian mechanics, a theory that emerges from Schrödinger's equation for a system of particles when we merely insist that particles means particles. Bohmian mechanics clarifies the status and the role of operators as observables in quantum mechanics by providing the operational details absent from standard quantum mechanics. It thereby allows us to readily dismiss all the radical claims traditionally enveloping the transition from the classical to the quantum realm — for example, that we must abandon classical logic or classical probability. The moral is rather simple: Beware naive realism, especially about operators!     

A paradigm shift in Heidegger research

The Beiträge zur Philosophie mandates a paradigm shift in Heidegger scholarship. In the face of (1) widespread disarray in the current model, the new paradigm (2) abandons Sein as a name for die Sache selbst, (3) understands Welt/Lichtung/Da as that which gives being, (4) interprets Dasein as apriori openedness rather than as being-there, (5) understands the Kehre as the interface of Geworfenheit and Entwurf, not as a shift in Heidegger's thinking, (6) interprets Ereignis as the opening of the Da rather than as appropriation, and (7) understands human finitude as what gives all forms of being and all epochs in the history of being. The conclusion alludes to the function of Mitdasein (co-openness) as die Sache selbst.     

Critical discussion

InExplaining Science: A Cognitive Approach, Ronald Giere (1988), proposes what he calls a cognitive theory of science (p. 2). Giere intends his view to be a broadly scientific account employing the resources of the cognitive sciences (Giere, 1988, p. 2). This paper argues that Giere does not secure a firm foundation for a cognitive theory of science because he leaves the door wide open for social constructivist interpretations of his views. In order to avoid social constructivism, Giere needs to adopt or develop an objective (i.e. non-conventionalist) concept of similarity.