On Certainty,Change, and “Mathematical Hinges”

Annalisa Coliva (Int J Study Skept 10(3–4):346–366, 2020) asks, “Are there mathematical hinges?” I argue here, against Coliva’s own conclusion, that there are. I further claim that this affirmative answer allows a case to be made for taking the concept of a hinge to be a useful and general-purpose tool for studying mathematical practice in its real complexity. Seeing how Wittgenstein can, and why he would, countenance mathematical hinges additionally gives us a deeper understanding of some of his latest thoughts on mathematics. For example, a view of how mathematical hinges relate to Wittgenstein’s well-known river-bed analogy enables us to see how his way of thinking about mathematics can account nicely for a “dynamics of change” within mathematical research—something his philosophy of mathematics has been accused of missing (e.g., by Robert Ackermann (Wittgenstein’s city, The University of Massachusetts Press, Amherst, 1988) and Mark Wilson (Wandering significance: an essay on conceptual behavior, Oxford University Press, Oxford, 2006). Finally, the perspective on mathematical hinges ultimately arrived at will be seen to provide us with illuminating examples of how our conceptual choices and theories can be ungrounded but nevertheless the right ones (in a sense to be explained).

     

Followership at a distance: Follower adjustment to distal leadership during COVID-19

Leader distance theory has received scant empirical attention in the extant literature; however, the “work from home” orders associated with COVID-19 have made this theory and its empirical findings highly relevant for organizations. Our study integrates leader distance theory and followership theory to understand how follower role beliefs affect follower effort, performance, and withdrawal under physical leader distance and varying conditions of leader interaction frequency. Using a three-wave survey methodology with 260 adults working remotely, our study finds that followers' levels of effort, performance, and withdrawal were contingent on leader interaction frequency. Specifically, followers with a coproduction role orientation, who see their role as more collaborative, reported higher levels of effort under conditions of high leader interaction. Furthermore, the indirect effect of coproduction on follower performance and withdrawal via effort was moderated by leader interaction frequency. The results for followers with passive role orientations, however, were in the opposite direction. These followers reported less effort when leader interaction was high, and the mediational chain predicting performance and withdrawal was contingent on leader interaction frequency. Our study contributes to the ongoing conversation about the positive and negative effects of leader distance and positions followership characteristics as important boundary conditions of distal leadership.     

Third Conference of the GWP (2019)

Journal for General Philosophy of Science -     

Longitudinal Associations Between the Five-Factor Model of Personality and The Bi-Factor Model of Psychopathology: Continuity,Pathoplasty and Complication Effects in Adolescents

The study of the bifactor structure of psychopathology, which includes a general factor of psychopathology (or p factor) in addition to the internalizing and externalizing factors, has gained attention. However, its associations with the Five-Factor Model (FFM) of personality has been addressed in few studies, and none has examined different plausible etiological models (i.e., continuity, pathoplasty, complication) to explain its relationship, which is the aim of the present research. Additionally, the longitudinal association of the General Factor of Personality (GFP) and the p factor will be also explored. Personality and psychopathological symptoms of high school students were assessed at three time points (once a year) (n?=?655; M?=?13.79, SD?=?1.24; 49.8% girls). Confirmatory Factor Analysis (and measurement invariance across waves) were tested for the traits, the GFP and the bifactor model of psychopathology. While the bifactor model and the one-factor solution for each personality trait displayed good fit to the data and remained invariant over time, the structure of the GFP was adequate and invariant in two of the three waves. The resulting factors were included in cross-lagged panel models and showed that the FFM traits and the psychopathology factors influenced each other reciprocally. Most associations fell in line with the continuity model, but minor pathoplastic and complication effects were also reported. Similar associations were found between the GFP and the p factor. These results suggest that interventions in riskier personality profiles might prevent the development of general and more specific psychopathology spectra.

     

The Relative Importance and Interaction of Contextual and Methodological Predictors of Mean rWG for Work Climate

A variety of collective phenomena are understood to exist to the extent that workers agree on their perceptions of the phenomena, such as perceptions of their organization’s climate or perceptions of their team’s mental model. Researchers conducting group-level studies of such phenomena measure individuals’ perceptions via surveys and then aggregate data to the group level if the mean within-group agreement for a sample of groups is sufficiently high. Despite this widespread practice, we know little about the factors potentially affecting mean within-group agreement. Here, focusing on work climate, we report an investigation of a number of expected contextual (social interaction) and methodological predictors of mean r_WG, a common statistic for judging within-group agreement in applied psychology and management research. We used the novel approach of meta-CART, which allowed us to assess the relative importance and possible interactions of the predictor variables. Notably, mean r_WG values are driven by both contextual (average number of individuals per group and cultural individualism-collectivism) and methodological factors (the number of items in a scale and scale reliability). Our findings are largely consistent with expectations concerning how social interaction affects within-group agreement and psychometric arguments regarding why adding more items to a scale will not necessarily increase the magnitude of an index based on a Spearman-Brown “stepped-up correction.” We discuss the key insights from our results, which are relevant to the study of multilevel phenomena relying on the aggregation of individual-level data and informative for how meta-analytic researchers can simultaneously examine multiple moderator variables.

     

ADHD Behaviors and Social Functioning in Preschool Children: The Moderating Role of Emotion Recognition

This study examined the moderating role of emotion recognition on the association between preschoolers’ ADHD behaviors and social functioning outcomes. Sixty preschoolers (48.3% female; M_age?=?3.94, SD_age?=?.56) were recruited from Head Start-affiliated classrooms. Teacher-rated ADHD behaviors and an objective measure of children’s emotion recognition were assessed at the beginning of the school year. Teacher ratings of social functioning outcomes were obtained approximately three months after the start of school. Hierarchical regressions examined the unique and interactive effects of ADHD behaviors and emotion recognition on preschoolers’ social functioning outcomes (i.e., oppositional behaviors, peer behavior problems, and social-emotional school readiness). The interaction between ADHD behaviors and emotion recognition predicted oppositional behaviors, peer behavior problems and social-emotional school readiness such that higher levels of emotion recognition appear to buffer the negative association between ADHD behaviors and adaptive social functioning. Preliminary considerations for interventions aimed at promoting preschoolers’ social functioning are discussed.

     

Adversariality in Argumentation: Shortcomings of Minimal Adversariality and A Possible Reconstruction

Argumentation - Minimal adversariality consists in the opposition of contradictory conclusions in argumentation, and its usual metaphorical expression as a game between combating arguers has seen...     

Evaluating Reasoning in Natural Arguments: A Procedural Approach

Argumentation - In this paper, we formulate a procedure for assessing reasoning as it is expressed in natural arguments. The procedure is a specification of one of the three aspects of...     

Hesitancy to Return to the Pre-pandemic Routine

Journal of Rational-Emotive & Cognitive-Behavior Therapy - The goal of the present study was to explore COVID-19 related hesitancy, which represents the inability of people to return to...