Syntactic features and synonymy relations: a unified treatment of some proofs of the compactness and interpolation theorems

This paper introduces the notion of syntactic feature to provide a unified treatment of earlier model theoretic proofs of both the compactness and interpolation theorems for a variety of two valued logics including sentential logic, first order logic, and a family of modal sentential logic includingM,B,S ₄ andS ₅. The compactness papers focused on providing a proof of the consequence formulation which exhibited the appropriate finite subset. A unified presentation of these proofs is given by isolating their essential feature and presenting it as an abstract principle about syntactic features. The interpolation papers focused on exhibiting the interpolant. A unified presentation of these proofs is given by isolating their essential feature and presenting it as a second abstract principle about syntactic features. This second principle reduces the problem of exhibiting the interpolant to that of establishing the existence of a family of syntactic features satisfying certain conditions. The existence of such features is established for a variety of logics (including those mentioned above) by purely combinatorial arguments.Presented byMelvin Fitting     

An examination of the cross-ethnic equivalence of measures of negative life events and mental health among Hispanic and Anglo-American children

Recently there has been concern over the need for mental health research within ethnic minority populations, particularly Hispanic populations. Although there has been research focusing upon the similarity of mental health problems among Hispanic and Anglo-American samples, the absence of information regarding the cross-ethnic measurement equivalence of the assessment tools used in these comparisons seriously limits the interpretability of these findings. The two reported studies were designed to (a) examine the cross-ethnic functional and scalar equivalence of several mental health measures by examining the interrelations of these mental health indicators and examining the regression equations using negative life events to predict mental health outcomes; and (b) compare several mental health indicators among Hispanic and Anglo-American 8- to 14-year-old children. Findings suggest considerable cross-ethnic functional and scalar equivalence for the measure of depression, conduct disorders, and negative life events. In addition, findings indicate that the Hispanic children scored higher in depression than did the Anglo-American children, but this difference could be a function of differences in SES. The reader is cautioned that the present samples included only English-speaking and primarily Mexican American children. This study was funded by the National Institute for Mental Health Grant 2-P50-MH39246-06 to support the Preventive Intervention Research Center at Arizona State University. The authors gratefully acknowledge the contributions made by Tim Ayers, Carolyn Berg, Leah Gensheimer, Joanne Gersten, Nancy Groppenbacher, Lisa Jack, Lillian Lengua, Marcia Michaels, Irwin Sandler, and Jerome Short.     

Stress,social support,and problem-solving appraisal/skills: Prediction of suicide severity within a college sample

This study assessed whether stress, social support, and interpersonal problem-solving appraisal/skills were predictive of level of suicidality within a chronic suicidal college sample. Stepwise regression analyses were used to assess whether stress, social support, and problem-solving were independently predictive of severity of suicide ideation. In addition, hierarchical regression analyses were used to test the mediational nature of social support and problem-solving in the stress-suicidality relationship. Problem-solving confidence was found to be a significant predictor of severity of suicide ideation. In addition, both perceived problem-solving skills and social support mediated the relationship between stress and level of suicide ideation. However, only one of the two perceived problem-solving skills interactions was in the expected direction. This study provided support for the importance of problem-solving confidence and the interaction of stress and social support in the prediction of suicide severity. Unlike previous studies, this study did not find problem-solving skills/deficits to mediate the stress-suicidality relationship.This research was supported by NIMH Grant 1-18MH48133.     

Book reviews

Private Practice Youngstown, Ohio 44512     

The last invasion of human privacy and its psychological consequences on survivors: A critique of the practice of embalming

In spite of the fact that it is required only occasionally for sanitary reasons and not legally mandatory, the practice of embalming is widespread in contemporary American society. This study explores the historical, cultural and psychological factors which gave rise to the practice of embalming and why the practice continues. Two case studies are presented in which delayed grief reactions were present; linkages with embalming are described. It is suggested that the frightening finitude of the self and a fear of death in modern society have led to practices in which the corpse is viewed as looking “natural,” thus denying the reality of death. Embalming is seen as the final assault on the self, which can also carry with it problematic psychological consequences for the survivors.     

Attention to adjacent and separate positions in space: An electrophysiological analysis

Some theories of visuospatial attention propose that attention can be divided between separated zones of space that exclude the intervening region, whereas other theories state that the focus of attention must encompass aunitary, continuous zone. These contrasting viewswere evaluated in an experiment 9n which subjects were required to monitor two of four stimulus locations for targets; the two relevant locations were adjacent in one condition and were separated by an intervening irrelevant location in a second condition . To assess the distribution of attention across the relevant and irrelevant locations, event-related brain potentials(ERPa)were recorded to taskirrelevant “probe” stimuli that were occasionally presented at the individual stimulus locations. When the relevant locations were adjacent, probes presented at irrelevant locations elicited smaller sensory-evoked electrophysiological responses than probes presented at relevant locations, consistent with an attentional suppression of inputs from the unattended locations. When the relevant locations were separated by an irrelevant location, however, the sensory responses evoked by probes presented at this intervening irrelevant location were not suppressed, and target detection performance became slower and less accurate. These results suggest that attentionforms a unitary zone that may expand to encompass multiple relevant locations but must also include the area between them; as a result, irrelevant information arising from intervening locations is not suppressed and perceptual processing is compromised.     

School-Wide Behavioral Support: Starting the Year Off Right

Two years of office referral data are presented in evaluation of a school-wide behavioral support program designed to define, teach, and reward appropriate student behavior in a rural middle school (grades 6, 7, and 8). During 1994-95, the school had 530 students and recorded 2,628 office referrals. The 1995-96 school year began with a full day in which students were taught five school expectations. Throughout the year, students also received rewards for appropriate behavior and office referrals for infractions. Results during 1995-96 document a 42% reduction in office referrals from the previous year. While the evaluation results do not document functional relationship, they suggest an efficient process for evaluating school-wide behavioral support, teaching appropriate behaviors, and changing the overall climate of the school. Implications for future research, and the use of schools as a unit of analysis, are discussed.