B-varieties with normal free algebras

The starting point for the investigation in this paper is the following McKinsey-Tarski's Theorem: if f and g are algebraic functions (of the same number of variables) in a topological Boolean algebra (TBA) and if C(f)C(g) vanishes identically, then either f or g vanishes identically. The present paper generalizes this theorem to B-algebras and shows that validity of that theorem in a variety of B-algebras (B-variety) generated by SCI _B -equations implies that its free Lindenbaum-Tarski's algebra is normal. This is important in the semantical analysis of SCI _B (the Boolean strengthening of the sentential calculus with identity, SCI) since normal B-algebras are just models of this logic. The rest part of the paper is concerned with relationships between some closure systems of filters, SCI _B -theories, B-varieties and closed sets of SCI _B -equations that have been derived both from the semantics of SCI _B and from the semantics of the usual equational logic.To the memory of Jerzy Supecki     

Podstawowe własności systemów dedukcyjnych opartych na nieklasycznych logikach. cz. II.

Allatum est die 28 Augusti 1959     

Harder Won and Easier Lost? Testing the Double Standard in Gender Rules in 62 Countries

Sex Roles - There is a longstanding tradition in the Netherlands to announce the birth of a child by sending out birth announcement cards to friends and family. These cards provide a glimpse of the...     

Reversed better-than-average effect in direct comparisons of nonsocial stimuli depends on the set size

Studies on direct comparative judgments typically show that, for items that are positively evaluated, a single item randomly drawn from a larger set of similar items tends to be judged as better than average (the BTA effect). However, Windschitl, Conybeare, and Krizan (2008) demonstrated that, under timing conditions that do not favor focusing attention on the single item, the reversal of the BTA effect occurs. We report two experiments showing that the magnitude of the reversed BTA effect increases as a function of the size of a multiitem referent with which a single item target is compared. Specifically, in direct comparative judgments of the attractiveness of positively evaluated objects (nice-looking cloth buttons, attractive buildings, or cupcakes), underestimation of the attractiveness of singletons, as compared with a multiitem set (reversed BTA effect), increased with the increased set size. Analysis of absolute judgments obtained for singletons and for small and large multiitem sets suggests that, for attractive stimuli, both the reversed BTA effect in comparative judgments and its sensitivity to set size occur as a result of a positive relationship between set size and perceived attractiveness in absolute judgments.     

Intuitive (in)coherence judgments are guided by processing fluency, mood and affect

Recently proposed accounts of intuitive judgments of semantic coherence assume that processing fluency results in a positive affective response leading to successful assessment of semantic coherence. The present paper investigates whether processing fluency may indicate semantic incoherence as well. In two studies, we employ a new paradigm in which participants have to detect an incoherent item among semantically coherent words. In Study 1, we show participants accurately indicating an incoherent item despite not being able to provide an accurate solution to coherent words. Further, this effect is modified by affective valence of solution words that are not retrieved from memory. Study 2 replicates those results and extend them by showing that mood moderates incoherence judgments independently of affective valence of solutions. The results support processing fluency account of intuitive semantic coherence judgments and show that it is not fluency per se but fluency variations that drive judgments.     

Temperament and Anxiety: The Mediating Role of Metacognition

The present study examines a simple model for the relationship between temperament, anxiety and maladaptive metacognition. A clinical sample of patients diagnosed with anxiety disorders (n?=?216) completed a set of self-reported questionnaires measuring temperament dimensions, state anxiety and metacognitions. Three temperament traits were included in the hypothesized model: emotional reactivity, perseveration and briskness. A structural equation modeling analysis supported a model in which the relationship between the three temperament traits and anxiety were fully mediated by metacognition. Dissimilar models were identified for the male and female subgroups, and also with reference to individual categories of maladaptive metacognition. The findings support the significance of metacognition as a factor influencing the temperament-anxiety relationship. Moreover, they confirm the roles both of emotional reactivity and of perseveration, being major traits related to anxiety which also turned out to be strongly associated with metacognition. In case of the models for the categories of metacognition, emotional reactivity was associated with negative beliefs, perseveration with negative and positive beliefs, while briskness predicted anxiety independently of metacognition. These results suggest the existence of more specific associations between temperament traits, anxiety, and various types of metacognition.     

Does Individualistic Culture Lower the Well-Being of the Unemployed? Evidence from Europe

The paper tests whether the well-being cost of own unemployment is higher in individualistic countries and among persons with more individualistic orientations. I consider two dimensions of individualism: family support and self-reliance. I adopt a multilevel regression methodology on data of the European Values Study (2008) for 42 European countries. The results confirm that in Europe individualism correlates with higher well-being cost of own unemployment. Specifically, the relationship between unemployment and well-being is moderated by the family support norm. Its effect size is substantial, similar to the effect of country unemployment rate. This paper is the first one to establish in a comparative context that the well-being cost of own unemployment is higher in individualistic countries. It is also the first one to investigate the mechanisms behind this regularity. In contrast to the theoretical predictions, the importance of personal orientations is much weaker than the one of normative factors. Consistently with previous literature, the results suggest that the support among family members depends more on social norms than on individual values.