On Complete Representations of Reducts of Polyadic Algebras

Following research initiated by Tarski, Craig and Németi, and futher pursued by Sain and others, we show that for certain subsets G of ^ω ω, atomic countable G polyadic algebras are completely representable. G polyadic algebras are obtained by restricting the similarity type and axiomatization of ω-dimensional polyadic algebras to finite quantifiers and substitutions in G. This contrasts the cases of cylindric and relation algebras. Presented by Robert Goldblatt     

Men appear more lateralized when noticing emotion in male faces

Empirical tests of the "right hemisphere dominance" versus "valence" theories of emotion processing are confounded by known sex differences in lateralization. Moreover, information about the sex of the person posing an emotion might be processed differently by men and women because of an adaptive male bias to notice expressions of threat and vigilance in other male faces. The purpose of this study was to investigate whether sex of poser and emotion displayed influenced lateralization in men and women by analyzing "laterality quotient" scores on a test which depicts vertically split chimeric faces, formed with one half showing a neutral expression and the other half showing an emotional expression. We found that men (N = 50) were significantly more lateralized for emotions indicative of vigilance and threat (happy, sad, angry, and surprised) in male faces relative to female faces and compared to women (N = 44). These data indicate that sex differences in functional cerebral lateralization for facial emotion may be specific to the emotion presented and the sex of face presenting it.     

Children's Antisocial and Prosocial Lies to Familiar and Unfamiliar Adults

Although parents frequently instruct children not to lie, children often observe lie‐telling within the family environment. To date, no empirical research has examined children's spontaneous lie‐telling to different lie‐recipients. The current study examined children's spontaneous deceptive behaviour to parents and unfamiliar adults. In Experiment 1 (N = 98), children's (ages 6–9) antisocial lies to a parent or an unfamiliar adult were examined using a modified Temptation Resistance Paradigm. In Experiment 2, (N = 99) children's (ages 6–9) prosocial lies to a parent versus an unfamiliar adult were examined using the Disappointing Gift Paradigm. Results indicate that, across different types of lies, children are more likely to lie to an unfamiliar adult than to a parent. Copyright © 2013 John Wiley & Sons, Ltd.     

Martin's Axiom,Omitting Types,and Complete Representations in Algebraic Logic

We give a new characterization of the class of completely representable cylindric algebras of dimension 2 #lt; n w via special neat embeddings. We prove an independence result connecting cylindric algebra to Martin's axiom. Finally we apply our results to finite-variable first order logic showing that Henkin and Orey's omitting types theorem fails for L _n, the first order logic restricted to the first n variables when 2 #lt; n#lt;w. L _n has been recently (and quite extensively) studied as a many-dimensional modal logic.     

On Neat Reducts of Algebras of Logic

SC , CA , QA and QEA stand for the classes of Pinter's substitution algebras, Tarski's cylindric algebras, Halmos' quasipolyadic algebras, and quasipolyadic equality algebras of dimension , respectively. Generalizing a result of Németi on cylindric algebras, we show that for K {SC, CA, QA, QEA} and ordinals < , the class Nr K of -dimensional neat reducts of -dimensional K algebras, though closed under taking homomorphic images and products, is not closed under forming subalgebras (i.e. is not a variety) if and only if > 1.From this it easily follows that for 1 < < , the operation of forming -neat reducts of algebras in K does not commute with forming subalgebras, a notion to be made precise.We give a contrasting result concerning Halmos' polyadic algebras (with and without equality). For such algebras, we show that the class of infinite dimensional neat reducts forms a variety.We comment on the status of the property of neat reducts commuting with forming subalgebras for various reducts of polyadic algebras that are also expansions of cylindric-like algebras. We try to draw a borderline between reducts that have this property and reducts that do not.Following research initiated by Pigozzi, we also emphasize the strong tie that links the (apparently non-related) property of neat reducts commuting with forming subalgebras with proving amalgamation results in cylindric-like algebras of relations. We show that, like amalgamation, neat reducts commuting with forming subalgebras is another algebraic expression of definability and, accordingly, is also strongly related to the well-known metalogical properties of Craig, Beth and Robinson in the corresponding logics.     

Development of executive functioning in school-age Tunisian children

Research regarding executive functioning (EF) in children rarely focuses on populations in African or Middle-Eastern Arabic-speaking countries. The current study used a cross-sectional design to examine the developmental trajectories of school-age Tunisian children in three domains of executive control (inhibition of prepotent responses, cognitive flexibility, and working memory) as well as their mutual interactions and the effects of gender and parents’ education level. Inhibitory processes, cognitive flexibility, and working memory were assessed using the Stroop test, a version of the Hayling test adapted for children, simple and alternating tasks of verbal fluency, and verbal and visuospatial span tasks (forward and backward spans). The study population included 120 7- to 12-year-old Tunisian children (60 girls, 60 boys) who were grouped and matched for age, gender, and parents’ education level. The results revealed an overall effect of age on executive performance, whereas gender and parents’ education level showed non-significant effects. In addition, executive indices were significantly associated with fluid intelligence level. Partial correlation analyses (controlled for age) found significant links between indices that assessed the same executive process, except for inhibitory processes; the temporal indices for inhibitory processes showed relative independence. The correlations between indices that assessed distinct executive processes were weaker (but significant). Overall, the results suggest that executive components in school-age Tunisian children operate according to relatively homogeneous developmental trajectories, marked by peaks of maturity that differ according to the assessed index. A transcultural approach to EF is discussed in terms of the unity and diversity of its components.     

An Interpolation Theorem for First Order Logic with Infinitary Predicates

An interpolation Theorem is proved for first order logic withinfinitary predicates. Our proof is algebraic via cylindricalgebras.¹     

Anxiety and hostility to an "outsider," as moderated by low perceived power

The hostile and anxious responses of young adults to an immigrant (vs. native-born) stranger were examined as a function of participants' self-perceived power. In Studies 1 and 2, individuals with low perceived social power (males, in particular) showed high anxiety toward an "outsider" but more so if that individual was an immigrant (and thus posed an ambiguous threat to their position in the hierarchy). In Study 3, young adult males competed on a reaction time test with an immigrant or native-born rival. With immigrant rivals, males with low perceived social power showed relatively high aggression toward an immigrant rival and derogation of the rival's formidability; however, they showed a more deferential pattern with native-born rivals.     

Sentiment toward marketing: Should we care about consumer alienation and readiness to use technology?

Consumer sentiment toward marketing has been extensively addressed in the marketing literature. However, while most existing studies provide contributions regarding the levels of consumer perceptions of the marketing function, most fall short of providing significant insights into the antecedents of these sentiment levels. That is to say, little is offered to help marketers understand why consumers perceive the marketing function the way they do. In this study, a conceptual framework is developed in an attempt to explore consumer sentiment toward marketing in light of the increasing technological tendencies of today's marketplace. Alienation from the marketplace is assumed to be an exogenous variable that affects the degree to which individuals are ready to embrace new technologies in everyday life. The model is empirically tested using structural equation modeling. Alienation from the marketplace is found to be negatively associated with sentiment toward marketing and the drivers of technology readiness, but positively associated with the inhibitors of technology readiness. More significantly, readiness to embrace technology is found to exhibit a strong and consistent relationship with sentiment toward marketing. Copyright © 2011 John Wiley & Sons, Ltd.