On the notions of indiscernibility and indeterminacy in the light of the Galois–Grothendieck theory

We analyze the notions of indiscernibility and indeterminacy in the light of the Galois theory of field extensions and the generalization to \(K\) -algebras proposed by Grothendieck. Grothendieck’s reformulation of Galois theory permits to recast the Galois correspondence between symmetry groups and invariants as a Galois–Grothendieck duality between \(G\) -spaces and the minimal observable algebras that discern (or separate) their points. According to the natural epistemic interpretation of the original Galois theory, the possible \(K\) -indiscernibilities between the roots of a polynomial \(p(x)\in K[x]\) result from the limitations of the field \(K\) . We discuss the relation between this epistemic interpretation of the Galois–Grothendieck duality and Leibniz’s principle of the identity of indiscernibles. We then use the conceptual framework provided by Klein’s Erlangen program to propose an alternative ontologic interpretation of this duality. The Galoisian symmetries are now interpreted in terms of the automorphisms of the symmetric geometric figures that can be placed in a background Klein geometry. According to this interpretation, the Galois–Grothendieck duality encodes the compatibility condition between geometric figures endowed with groups of automorphisms and the ‘observables’ that can be consistently evaluated at such figures. In this conceptual framework, the Galoisian symmetries do not encode the epistemic indiscernibility between individuals, but rather the intrinsic indeterminacy in the pointwise localization of the figures with respect to the background Klein geometry.     

Observing a client's grieving process: bringing logical positivism into qualitative grief counselling research

This positional paper originates from our need as researcher/practitioners to establish a meaningful epistemological framework for research into bereaved people's journey through loss and grief over time. We describe how the field of grief research has a long and established biological basis, in keeping with a positivist epistemology. However, there has been a diminution of the influence of logical positivism in twenty-first-century counselling research. We argue that in grief counselling research, naturalistic observation of the grieving process within a logical positivist paradigm, remains a valid and valuable construct. We posit an observational protocol for the grief counselling process which minimises the intrusion of research method into the therapeutic process. We offer this as a means of conducting qualitative research within a bereavement counselling service. Further, we suggest that the development of an observational protocol for a client's grieving process has potential implications for developing good practice in grief work.     

Qualitative job insecurity and in-role performance: a bidirectional longitudinal relationship?

This study adds to the understanding of the relationship between qualitative job insecurity and employee in-role performance, by analysing the association longitudinally. While social exchange theory predicts that the relationship should be negative and bidirectional, the job preservation motivation model indicates a self-correcting mechanism, where job insecurity leads to increased performance, which, in turn, could decrease job insecurity. We developed competing hypotheses and examined them using structural equation modelling in a heterogeneous sample of 337 employees. For employees with a higher professional level, results pointed towards a reciprocal causal relationship between qualitative job insecurity and in-role performance, indicating a loss cycle. For employees with a lower professional level, results showed a small positive direct causal relationship between qualitative job insecurity and in-role performance, while the negative direct path from in-role performance to qualitative job insecurity did not reach statistical significance. This is the first study to test the diverging theoretical predictions of social exchange theory and the job preservation motivation model, with regard to the relationship between qualitative job insecurity and in-role performance. Being longitudinal, our study only allows us to hint at possible causal relationships between the involved variables, the chronological order being necessary, but not sufficient to prove causality.     

Latino parents’ science beliefs and support of high school students’ motivational beliefs: Do the relations vary across gender and familism values?

Based on the Eccles’ expectancy-value theory, the objectives of this study were (1) to examine the longitudinal relations between Latino parents’ science beliefs, parents’ science support, and high school students’ science motivational beliefs, and (2) to test whether these relations varied by familism values and adolescent gender. Multi-informant longitudinal survey data were collected from 104 Latino parents and adolescents during 9th and 10th grade. Parents’ perceptions of their adolescents’ science ability and value of science in 9th grade predicted higher parent science support at home in 10th grade if they were parents of boys. In contrast, these relations were not statistically significant for parents of daughters. Parent support in 9th grade predicted higher adolescent motivational beliefs one year later. This work provides evidence that parent support is important for high school student success in this understudied population.     

Helping others or helping oneself? An episodic examination of the behavioral consequences of helping at work

Scholars have paid an increasing amount of attention to organizational citizenship behaviors (OCBs), with a particular emphasis on helping others at work. In addition, recent empirical work has focused on how OCB is an intraindividual phenomenon, such that employees vary daily in the extent to which they help others. However, one limitation of this research has been an overemphasis on well‐being consequences associated with daily helping (e.g., changes in affect and mental depletion) and far less attention on behavioral outcomes. In this study, we develop a self‐regulatory framework that articulates how helping others at work is a depleting experience that can lead to a reduction in subsequent acts of helping others, and an increase in behaviors aimed at helping oneself (i.e., engaging in political acts). We further theorize how two individual differences—prevention focus and political skill—serve as cross‐level moderators of these relations. In an experience sampling study of 91 full‐time employees across 10 consecutive workdays, our results illustrate that helping is a depleting act that makes individuals more likely to engage in self‐serving acts and less likely to help others. Moreover, the relation of helping acts with depletion is strengthened for employees who have higher levels of prevention focus.     

An Affordance-Based Approach to Visually Guided Overtaking

When an automobile driver overtakes a lead vehicle while avoiding oncoming traffic, does he or she do so with reference to the limits of his or her car? We investigated overtaking from the perspective of the theory of affordances. We define the overtake-ability affordance as a ratio of the minimum satisfying velocity required for safe overtaking (MSV) to the maximum velocity of the driver's car (V_max). Two groups of participants performed overtaking maneuvers, if deemed possible, by driving either a slow (V_max = 25 m/s) or a fast (V_max = 32.5 m/s) virtual car in overtaking situations constrained by 14 values of MSV. For any given MSV condition, participants in the fast car group were more likely to attempt an overtaking maneuver. However, when MSV was expressed in intrinsic units as a ratio of V_max for both groups, the frequency of overtaking was not significantly different across groups. Furthermore, overtaking frequency dropped to near 0% for both groups when MSV exceeded V_max. In accordance with the affordance-based framework (Fajen, 2007), our results suggest that participants select their overtaking maneuvers by perceiving an overtake-ability affordance.     

Religion,Cultural Clash,and Muslim American Attitudes About Politically Motivated Violence

Does adherence to Islam predict attitudes about “suicide bombing” among American Muslims? This study examines the effects of religious and political factors on views of politically motivated violence (PMV). We draw from diverse scholarship, emphasizing arguments that are inspired by Samuel Huntington's Clash of Civilizations perspective, as well as recent work in the sociology of Islam. Using a measure that gauges support for “suicide bombing” from the 2007 Pew Survey of American Muslims, results from logistic regression models suggest that political views and religious factors have a minimal effect on Muslim American attitudes toward suicide bombing. Furthermore, we find that Qur’ānic authoritativeness (i.e., the view that the Qur’ān is the word of God and not written by men) is associated with lower odds of supporting this form of PMV. We discuss the implications of our findings for the often anecdotal and alarmist accounts that link Muslim religiosity to support for “radical” extremism. We close with study limitations and avenues of future research.     

Concreteness and item-to-list context associations in the free recall of items differing in context variability

Context variability can be defined as the number of preexperimental contexts in which a given concept appears. Following M. Steyvers and K. J. Malmberg's (2003) work, the authors have shown that concepts that are experienced in fewer preexperimental contexts generally are better remembered in episodic memory tasks than concepts that are experienced in a greater number of preexperimental contexts. The purpose of this article is to demonstrate that low context variability confers its memorial advantage because of stronger item-to-list context associations as compared with high context variability. Three experiments that use environmental context changes from study to test demonstrate that the low context variability advantage is eliminated when item-to-list context associations are not available because of environmental changes at test. In addition, the low context variability advantage is eliminated when inward processing at study prevents the formation of item-to-list context associations.     

Depression, Marital Satisfaction and Communication in Couples: Investigating Gender Differences

The correlation between depression and dysfunctional marital interaction is well documented, but only a few studies have examined gender-related differences in marital interaction patterns of couples with a depressed partner. In this paper we examined differences in observed marital communication in a sample of 62 Swiss couples presenting for treatment of depression. There were 16 maritally distressed couples with a depressed wife, 21 maritally nondistressed couples with a depressed wife, 18 maritally distressed couples with a depressed husband, and 7 maritally nondistressed couples with a depressed husband. Marital interaction behavior was found to depend on gender, depression, marital distress, as well as gender of the depressed partner. Our results suggest the need for a gender-sensitive model of the link between marital interaction and depression.     

Best practices for missing data management in counseling psychology

This article urges counseling psychology researchers to recognize and report how missing data are handled, because consumers of research cannot accurately interpret findings without knowing the amount and pattern of missing data or the strategies that were used to handle those data. Patterns of missing data are reviewed, and some of the common strategies for dealing with them are described. The authors provide an illustration in which data were simulated and evaluate 3 methods of handling missing data: mean substitution, multiple imputation, and full information maximum likelihood. Results suggest that mean substitution is a poor method for handling missing data, whereas both multiple imputation and full information maximum likelihood are recommended alternatives to this approach. The authors suggest that researchers fully consider and report the amount and pattern of missing data and the strategy for handling those data in counseling psychology research and that editors advise researchers of this expectation.