Mathematical concepts for analyzing ambiguous situations

Abstract

We examine some mathematical tools for dealing with ambiguous situations. The main tool is the use of non-standard logic with truth-values in what is called a locale. This approach is related to fuzzy set theory, which we briefly discuss. We also consider probabilistic concepts. We include specific examples and describe the way a researcher can set up a suitable locale to analyse a concrete situation.     

The effect of object–valence relations on automatic evaluation

Two experiments tested the effect of co-occurrence of a target object with affective stimuli on automatic evaluation of the target when the relation between the target and the affective stimuli suggests that they have opposite valence. Participants learned about targets that ended an unpleasant noise or a pleasant music. The valence of such targets is opposite to the valence of the affective stimuli that co-occur with them. Participants reported preference for targets that ended noise over targets that ended music, but automatic evaluation measures revealed the opposite preference. This suggests that automatic evaluation is sensitive to co-occurrence between stimuli more than to the relation between the stimuli, and that relational information has a stronger influence on deliberate evaluation than on automatic evaluation. These conclusions support the associative-propositional evaluation model (Gawronski & Bodenhausen, 2006), and add evidence regarding the sensitivity of the evaluative-conditioning effect to relational information.     

Episodic future thinking in children compared to adolescents

Episodic thinking involves the ability to re-create past and to construct future personal events, which contain event-specific (episodic) and general (semantic) details. The richness of episodic thought for past events improves as children move into adolescence. The current study aims to examine changes in episodic future thinking and to establish the cognitive underpinning of these changes. Typically developing children (n = 14) and adolescents (n = 15) were tested using an adapted version of the Child Autobiographical Interview (CAI) that required generation of past and future personally relevant events. Relational memory and executive skills were also examined. Significant developmental gains were found in richness of events recall across temporal directions (past and future) and across different types of details (episodic and semantic). Developmental gains in richness of past events were also shown to correspond to developmental gains in generation of future events. Moreover, developmental changes in relational memory and (to a lesser extent) executive functions were found to relate to increases in the amount of episodic (but not semantic) details provided. Our study highlighted the similarities between past and future episodic thinking in typically developing children and adolescents. It also raises a possibility that children with developmental and neurological disorders with impaired relational memory and/or executive skills may be at risk of difficulties with episodic thinking.     

Two facets of cognitive control in analogical mapping: The role of semantic interference resolution andgoal-driven structure selection

The study used scene analogies to investigate two component processes of analogical thinking: resolution of semantic interference, which emerges when the proper mapping between analogically matching objects is incoherent with their categorical features (e.g., stereotypical functions), and goal-driven selection of the key relational structure, by directing attention to the most promising objects which constitute that structure among many other candidate objects. We manipulated interference by placing in corresponding scenes the objects from one category in different relational roles. Selection was loaded by including additional, relationally irrelevant objects in a scene. We also manipulated relational complexity and the presence of salient objects (people) in relations. Increased load on both interference resolution and selection decreased the accuracy of analogical mapping, but these factors did not interact. Moreover, the factors yielded opposite patterns of interaction with relational complexity. Finally, salience eased selection, but tended to negatively influence interference resolution. In summary, inference resolution and selection seem to constitute two relatively independent facets of cognitive control involved in analogical thinking. Selection may act before mapping occurs, while interference influences analogy making only if an interfering object takes part in mapping.     

Programming of time-to-peak force for brief isometric force pulses: Effects on reaction time

According to the parallel force unit model (PFUM) the programming of an isometric force pulse requires the specification of the number of force units and force unit duration. The programming of a force pulse with minimal time-to-peak force is an exception, however, as force unit duration is limited by the minimal possible value, which should be easier to adjust than larger force unit durations. Therefore, the duration of the programming process should be shorter for these force pulses and hence should result in shorter reaction time (RT). Four experiments assessed this prediction using a response precueing procedure. In each experiment the participants produced isometric flexions with their left or right index finger, and time-to-peak force was manipulated within a block. The results are consistent with the predictions of PFUM. The results, however, are at variance with alternative accounts which assume that RT depends primarily on response duration or rate of force production.     

Logic Games are Complete for Game Logics

Game logics describe general games through powers of players for forcing outcomes. In particular, they encode an algebra of sequential game operations such as choice, dual and composition. Logic games are special games for specific purposes such as proof or semantical evaluation for first-order or modal languages. We show that the general algebra of game operations coincides with that over just logical evaluation games, whence the latter are quite general after all. The main tool in proving this is a representation of arbitrary games as modal or first-order evaluation games. We probe how far our analysis extends to product operations on games. We also discuss some more general consequences of this new perspective for standard logic.     

Mattering at the Intersection of Psychology,Philosophy, and Politics

Mattering is an ideal state of affairs consisting of two complementary psychological experiences: feeling valued and adding value. Human beings can feel valued by, and add value to, self, others, work, and community. To make sure that the need for mattering is fulfilled, we must balance feeling valued with adding value. Moreover, we must balance adding value to self with adding value to others. Unfortunately, the dominant neoliberal philosophy does not support the values required to ensure the experience of mattering. Whereas a healthy and fair society would require equilibrium among values for personal, relational, and collective well-being, the dominant philosophy in many parts of the world favors personal at the expense of relational and collective values. Neoliberal economic and social policies have resulted in diminished sense of mattering for millions of people. Some people respond to cultural pressures to achieve higher status by becoming depressive or aggressive. Some marginalized groups, in turn, support xenophobic, nationalistic, and populist policies in an effort to regain a sense of mattering. To make sure that everyone matters, we must align the psychology, philosophy, and politics of mattering. The political struggle for a just and equitable distribution of mattering takes place in social movements and the policy arena. The perils and promises of these efforts are considered.     

A Review and Meta‐Analysis Examining Conceptual and Operational Definitions of Problematic Internet Use

This study examined different conceptual and operational definitions of problematic Internet use (PIU). 3 perspectives of PIU are described along with a meta‐analytic review (K = 112) conducted to explore the implications stemming from how PIU is measured. The results offer evidence to support the construct validity of measures developed from the impulse control disorder and relationship resource deficits traditions but raise questions about substance dependence measures of PIU. Additionally, there were small but noteworthy differences in the associations between PIU and key antecedents and outcomes that could be attributed to PIU measurement tradition. Suggestions for developing a more robust body of scholarship on PIU are offered.     

Relational spirituality and depression among married couples in Antigua

The World Health Organization indicates depression is the leading cause of disability worldwide. At the same time researchers have found religion/spirituality is inversely associated with depression. However, the mechanisms by which spirituality/religion impacts mental health have not been clearly identified particularly in non-western populations. Relational spirituality is a concept that focuses attention on the ways people relate to the sacred. This study examines whether different ways of relating to the sacred are implicated in levels of depression and whether marital partners affect each other’s level of relational spirituality and depression. Ninety-one (n?=?91) married heterosexual couples in the Caribbean Island of Antigua completed measures of relational spirituality and depression. Data were analysed using path analysis and through Actor Partner Interdependence Model methods. Results of the analysis showed wives’ and husbands’ depression scores covaried (COV?=?6.59, Pearson r?=?.28, p?β?=??.24, unstandardised B?=??3.23, se?=?1.30), and higher instability scores (β?=?.49, unstandardised B?=?5.46, se?=?.96). The husbands’ disappointment (β?=?.21, unstandardised B?=?2.17, se?=?.95) and instability (β?=?.54, unstandardised B?=?4.65, se?=?.72) were positively related to their depression scores. The results demonstrate relational spirituality is a useful framework for addressing depression in individuals as well as married couples.