Inconsistent Models of Arithmetic Part I: Finite Models

The paper concerns interpretations of the paraconsistent logic LP which model theories properly containing all the sentences of first order arithmetic. The paper demonstrates the existence of such models and provides a complete taxonomy of the finite ones.     

On a Paradox of Hilbert and Bernays

The paper is a discussion of a result of Hilbert and Bernays in their Grundlagen der Mathematik. Their interpretation of the result is similar to the standard intepretation of Tarskis Theorem. This and other interpretations are discussed and shown to be inadequate. Instead, it is argued, the result refutes certain versions of Meinongianism. In addition, it poses new problems for classical logic that are solved by dialetheism.     

EFFECTS OF REINFORCEMENT HISTORY AND INSTRUCTIONS ON THE PERSISTENCE OF STUDENT ENGAGEMENT

We examined the effects of three reinforcement histories on the persistence of task engagement by 2 fourth-grade students using a partially counterbalanced ABCDBCD design. In each condition, an experimenter made four student contacts during the first 2 min of each session (reinforcement baseline), followed by an 8-min extinction period. The reinforcement history that contained an instructional control component produced the greatest persistence in student engagement. The applied relevance of instructional control is discussed.     

Certification and Licensure Issues

Certification and licensure are important credentials for counselors. In less than 25 years, licensure laws on counseling have been passed in 41 states and the District of Columbia. Although much progress has been made regarding certification and licensure, all is not bliss. A reaction to certification and licensure issues is provided.     

REFLECTIONS ON AFFIRMATIVE ACTION GOALS IN PSYCHOLOGY ADMISSIONS

Four goals of affirmative action in higher education are described as they relate to psychology admissions. Broadly conceived, these goals are compensating for past injustice, correcting present inequity, promoting intellectual diversity, and enhancing the presence of role models. It is argued that the four goats differ in their underlying assumptions about the purposes of affirmative action and that these differences can result in disparate admission decisions. Data from three experiments on decision making in graduate psychology admissions are presented to illustrate the analysis. In these studies, academic psychologists rated the admissibility of hypothetical graduate student applicants who varied on a number of characteristics (e g., ethnicity, social class, interest in minority research) pertinent to affirmative action. A consistent pattern of ethnic group differences in admissibility ratings was documented, illustrating that compensation for past injustice can be interpreted as a salient affirmative action goal in graduate admissions decisions. Implications of the analysis for clarifying admissions decisions guided by affirmative action goals are discussed.     

Prenatal gender preference of mothers of feminine and masculine boys: Relation to sibling sex composition and birth order

A mother's (prenatal) wish for a girl has, at times, been implicated as an etiological factor for boyhood femininity or its DSM-III-R diagnostic equivalent, the Gender Identity Disorder of Childhood. In one sample of 52 feminine and 52 nonclinical control boys from Los Angeles, the proportion of mothers who recalled a wish for a girl during the pregnancy did not differ significantly between groups (26.9% vs. 19.2%, respectively); however, in both groups, the maternal wish for a girl was significantly more common in sibships in which all of the proband's older siblings were male. In a second sample of 103 feminine boys from Toronto, the maternal wish for a girl was significantly higher than that found in the Los Angeles sample (43.7% vs. 26.9%), but a control group was not available; as in the Los Angeles sample, the maternal wish for a girl was significantly more common in sibships in which all of the proband's older siblings were male. Implications of these findings for further study of maternal influences on boyhood femininity are discussed.     

Attentional bias to threat: Roles of trait anxiety, stressful events, and awareness

Attentional biases for threat stimuli were assessed in high and low trait anxious subjects (n = 66) using a probe detection task. To examine the effects of trait anxiety and situational stressors, each subject was tested three times: Under no stress, laboratory-induced stress, and examination-induced stress. To evaluate the role of awareness, half the word stimuli were presented very briefly (14 msec) and masked, and the other half were presented for 500 msec without a mask. Results showed that high trait anxious subjects under exam stress showed an attentional bias towards unmasked threat stimuli compared with low trait subjects. This effect was not found under lab-induced stress, suggesting that the attentional bias for unmasked threat in high trait subjects may be a function of a prolonged stressor, rather than a transient increase in state anxiety. The results from the masked exposure condition were not predicted; high trait anxious subjects shifted attention towards the spatial location of threat words despite lack of awareness of their lexical content, but this bias was only apparent in the no-stress condition. The results are discussed in relation to recent cognitive theories of anxiety.