Philosophy of Mathematics in the Warsaw Mathematical School

The aim of this paper is to present and discuss the philosophical views concerning mathematics of the founders of the so called Warsaw Mathematical School, i.e., Wac?aw Sierpiński, Zygmunt Janiszewski and Stefan Mazurkiewicz. Their interest in the philosophy of mathematics and their philosophical papers will be considered. We shall try to answer the question whether their philosophical views influenced their proper mathematical investigations. Their views towards set theory and its rôle in mathematics will be emphasized.     

Tits use amodal completion in predator recognition: a field experiment

Amodal completion enables an animal to perceive partly concealed objects as an entirety, and to interact with them appropriately. Several studies, based upon either operant conditioning or filial imprinting techniques, have shown that various animals (both mammals and birds) can perform amodal completion. Before this study, the use of amodal completion by untrained animals in the recognition of objects had not been considered. Using two feeders, we observed in a field experiment the reaction of tits to the torso of a sparrowhawk (partly occluded or an ‘amputated’ dummy) in two different treatments (sparrowhawk torso vs. complete dummy pigeon; and torso vs. complete dummy sparrowhawk). It is clear that the birds considered the two torso variants as predators and kept away from both of them when the second feeder offered a ‘pigeon’ instead. On the other hand, when a ‘complete sparrowhawk’ was present on the second feeder, the number of visits to the occluded torso remained low; while the number of visits to the amputated one increased threefold. Birds risked perching near what was clearly an amputated torso; while the fear of a “hiding” (occluded) torso remained unchanged, when the second feeder did not provide a safe alternative. Such discrimination between torsos requires the ability for amodal completion. Our results demonstrate that in their recognition process, the birds not only use simple sign stimuli, but also complex cognitive functions.     

Burnout predictors among prison officers: The moderating effect of temperamental endurance

The study investigates whether work stressors, coping styles, and work-related social support predict burnout among prison officers (N = 476). It was hypothesized that coping and social support would mediate the effects of work stressors on burnout and that these effects would be moderated by temperamental endurance. Results of structural equation modeling showed that emotion-oriented coping was positively related to emotional exhaustion, and negatively to personal accomplishment. Task-oriented coping was positively related to personal accomplishment. Social support from work was negatively related to emotional exhaustion. The effects of work stressors on burnout were mediated by work-related social support and by emotion-oriented coping. Additionally, some of these mediating effects were moderated by endurance. Work-related social support was negatively related to depersonalization only among participants with strong endurance. High level of work stressors predicted high emotion-oriented coping only among individuals with weak endurance.     

Coping self-efficacy mediates the effects of negative cognitions on posttraumatic distress

Although cognitive distortions have predicted posttraumatic distress after various types of traumatic events, the mechanisms through which cognitive distortions influence posttraumatic distress remain unclear. We hypothesized that coping self-efficacy, the belief in one's own ability to manage posttraumatic recovery demands, would operate as a mediator between negative cognitions (about self, about the world, and self-blame beliefs) and posttraumatic distress. In the cross-sectional Study 1, data collected among 66 adult female victims of child sexual abuse indicated that coping self-efficacy mediated the effects of negative cognitions about self and about the world on posttraumatic distress. The same pattern of results was found in a longitudinal Study 2, conducted among 70 survivors of motor vehicle accidents. Coping self-efficacy measured at 1 month after the trauma mediated the effects of 7-day negative cognitions about self and about the world on 3-month posttraumatic distress. In both studies self-blame was not related to posttraumatic distress and the effect of self-blame on posttraumatic distress was not mediated by coping self-efficacy. The results provide insight into a mechanism through which negative cognitions may affect posttraumatic distress and highlight the potential importance of interventions aimed at enhancing coping self-efficacy beliefs.     

Variation in the serotonin transporter gene modulates selective attention to threat

The 5-HTTLPR is an insertion/deletion polymorphism in the promoter region of the serotonin transporter gene. Prior research has revealed associations between the short-allele variant of this polymorphism, enhanced self-reported negative emotionality, and hypersensitivity of fear relevant neural circuits. In a sample of 50 healthy women we examined the role of 5-HTTLPR for cognitive-affective processing of phylogenetical fear-relevant stimuli (spiders) in a dot probe task. In contrast to homozygote long-allele carriers (ll), participants carrying at least 1 short allele (ss and sl) selectively shifted attention toward pictures of spiders, when these were presented for a duration of 2,000 ms. These results argue for an involvement of 5-HTTLPR in cognitive processing of threatening stimuli and thus, underpin its general role for individual differences in negative affect.     

Reciprocal relations among job demands, job control, and social support are moderated by neuroticism: A cross-lagged analysis

This study investigated whether neuroticism moderates the relations among social support (from coworkers and supervisors) and work strain characteristics (i.e. job demands and job control). A full cross-lagged panel analysis was used to test whether social support predicts job demands and control or whether job demands and job control predict support among individuals with high and low neuroticism. Workers (N =  247; 42.1% men) of five occupations filled out questionnaires twice, with a time gap of 1 month. Work characteristics (job demands, job control, and social support) together with age and gender were included in a two-group path model with neuroticism as a moderator. Neuroticism moderated relations between social support and work strain characteristics: among individuals with high neuroticism, high job demands predicted low support from supervisors and low job control predicted low support from supervisors. Among individuals with low neuroticism, high support from supervisors predicted high job control.     

Personality traits and anxiety symptoms: the multilevel trait predictor model

Investigation of relations between personality traits and mental disorders can inform key issues in psychopathology research. However, it has been hindered by extensive correlations among the traits. Building on studies of affect-psychopathology relations (e.g., the tripartite model), an organizational framework is proposed to solve this problem with respect to anxiety pathology. To test the resulting model, associations between four traits (negative emotionality, positive emotionality, anxiety sensitivity, and negative evaluation sensitivity) and four anxiety symptoms (chronic worry, obsessive-compulsive symptoms, panic, and social anxiety) were examined in an undergraduate sample (N=907). Confirmatory factor analyses supported operationalizations of the constructs in this study. Examination of the trait-symptom links using hierarchical multiple regression analyses supported most of the predicted relations. Specifically, negative emotionality emerged as a general predictor that was significantly related to all four symptom dimensions. In contrast, anxiety sensitivity was specific to panic and worry, whereas negative evaluation sensitivity was specific to social anxiety and worry. Finally, positive emotionality was uniquely related to social anxiety. The model accounted for a substantial amount of variance in the symptoms and almost all of the covariation among them.     

Accessory stimuli modulate effects of nonconscious priming

In a recent study, it was shown that subliminal priming (SP) effects are affected by the temporal predictability of a stimulus onset. If predictability is not given, SP effects are eliminated (Naccache, Blandin, & Dehaene, 2002). In two experiments, we investigated how different levels of preparation for target processing affect SP effects. For this purpose, an accessory tone stimulus was presented at different times prior to a subliminal priming task. The results demonstrate a clear modulation of the SP effects at different foreperiod intervals. Relative to conditions without an accessory stimulus, SP effects were smaller for short foreperiod intervals of the accessory stimulus, and larger for long foreperiod intervals. The results suggest that the presentation of an accessory stimulus facilitates response activation processes because of the participants' enhanced level of preparation for stimulus processing.     

Toward a comprehensive view of the skills involved in word reading in Grades 4, 6, and 8

Research to date has proposed four main variables involved in reading development: phonological awareness, naming speed, orthographic knowledge, and morphological awareness. Although each of these variables has been examined in the context of one or two of the other variables, this study examines all four factors together to assess their unique contribution to reading. A sample of children in Grades 4, 6, and 8 (ages 10, 12, and 14 years) completed a battery of tests that included at least one measure of each of the four variables and two measures of reading accuracy. Phonological awareness, orthographic knowledge, and morphological awareness each contributed uniquely to real word and pseudoword reading beyond the other variables, whereas naming speed did not survive these stringent controls. The results support the sustained importance of these three skills in reading by older readers.