Conceptual engineering for mathematical concepts

In this paper I investigate how conceptual engineering applies to mathematical concepts in particular. I begin with a discussion of Waismann’s notion of open texture, and compare it to Shapiro’s modern usage of the term. Next I set out the position taken by Lakatos which sees mathematical concepts as dynamic and open to improvement and development, arguing that Waismann’s open texture applies to mathematical concepts too. With the perspective of mathematics as open-textured, I make the case that this allows us to deploy the tools of conceptual engineering in mathematics. I will examine Cappelen’s recent argument that there are no conceptual safe spaces and consider whether mathematics constitutes a counterexample. I argue that it does not, drawing on Haslanger’s distinction between manifest and operative concepts, and applying this in a novel way to set-theoretic foundations. I then set out some of the questions that need to be engaged with to establish mathematics as involving a kind of conceptual engineering. I finish with a case study of how the tools of conceptual engineering will give us a way to progress in the debate between advocates of the Universe view and the Multiverse view in set theory.     

Leader Arrogance and Subordinate Outcomes: the Role of Feedback Processes

Purpose

The purpose of this study was to investigate the association between leader arrogance on subordinate outcomes of feedback seeking, morale, and burnout through its relationships with subordinate feedback environment perceptions. Additionally, perceived organizational support and subordinate feedback orientation are examined as moderators that influence the degree to which leader arrogance exerts its effects on these outcomes.

Design/Methodology/Approach

Survey data were obtained from 302 participants on Amazon’s Mechanical Turk website and analyzed using Hayes’ (2013) PROCESS in SPSS.

Findings

Subordinates with more arrogant supervisors reported less favorable feedback environment perceptions, and subsequently, lower levels of feedback seeking, morale, and higher levels of burnout. Perceived organizational support and feedback orientation were identified as significant moderators in these relationships. Subordinates were less vulnerable to the negative outcomes of leader arrogance when they experienced higher levels of perceived organizational support. Finally, subordinates with favorable feedback orientations exhibited lower levels of feedback seeking in the face of the unfavorable feedback environments associated with arrogant leaders.

Implications

Given these findings, leader arrogance should be of great concern to organizations, as subordinates exposed to arrogant leaders are likely to experience adverse outcomes. Supplementing perceptions of organizational support may help alleviate some of these effects. Additionally, subordinates with favorable feedback orientations may be particularly vulnerable to the effects of leader arrogance on outcomes of feedback seeking and morale.

Originality/Value

This study is the first to demonstrate the interpersonal implications of leader arrogance for subordinates, as well as explore mediators that play a role in these relationships.

     

Anxiety,depression, and the suicidal spectrum: a latent class analysis of overlapping and distinctive features

ABSTRACT

Anxiety and depression diagnoses are associated with suicidal thoughts and behaviours. However, a categorical understanding of these associations limits insight into identifying dimensional mechanisms of suicide risk. This study investigated anxious and depressive features through a lens of suicide risk, independent of diagnosis. Latent class analysis of 97 depression, anxiety, and suicidality-related items among 616 psychiatric outpatients indicated a 3-class solution, specifically: (1) a higher suicide-risk class uniquely differentiated from both other classes by high reported levels of depression and anxious arousal; (2) a lower suicide-risk class that reported levels of anxiety sensitivity and generalised worry comparable to Class 1, but lower levels of depression and anxious arousal; and (3) a low to non-suicidal class that reported relatively low levels across all depression and anxiety measures. Discriminants of the higher suicide-risk class included borderline personality disorder; report of worthlessness, crying, and sadness; higher levels of anxious arousal and negative affect; and lower levels of positive affect. Depression and anxiety diagnoses were not discriminant between higher and lower suicide risk classes. This transdiagnostic and dimensional approach to understanding the suicidal spectrum contrasts with treating it as a depressive symptom, and illustrates the advantages of a tripartite model for conceptualising suicide risk.     

Equivalence‐based instruction of academic skills: Application to adolescents with autism

This study evaluated the efficacy of three equivalence‐based instruction procedures on the acquisition of novel academic skills by 3 adolescents diagnosed with autism in a school setting. The skills targeted for instruction were related to topics in history, science, and mathematics, and were taught using different training structures from the PEAK‐E curriculum. All participants demonstrated mastery of the trained relations and the tested derived relations following all variants of equivalence‐based instruction.     

Stages of Learning Motivation: Development and Validation of a Measure1

Prochaska and colleagues’(e.g., Prochaska, DiClemente, & Norcross, 1992) stages‐of‐change theory was employed in the current study to reconceptualize the assessment of motivation to learn. We used the stages‐of‐change framework to develop and test a multidimensional measure of learning motivation using 3 independent samples. The pattern of relationships among the learning stages and learning criteria provided strong support for the appropriateness of using a stage‐based perspective to frame learning motivation. In addition, hierarchical regression analysis showed that the Stages of Learning Motivation Inventory (SOLMI) explained variance in the criteria (e.g., exam average, class satisfaction) beyond controls and a commonly used measure of learning motivation. Implications for practice and future research are discussed.     

Self-Objectification, Self-Esteem, and Gender: Testing a Moderated Mediation Model

The purpose of the present research was to test the mediating roles of body shame and appearance anxiety in the relation between self-surveillance and self-esteem; and to investigate whether gender (male, female) and stereotypical gender roles (masculinity, femininity) moderated the proposed mediation model. Canadian undergraduate university men and women (n?=?198) completed measures of self-surveillance, gender, gender roles, body shame, appearance anxiety, and self-esteem. Regression analyses demonstrated that greater self-surveillance predicted lower self-esteem, and this relation was fully mediated by body shame and appearance anxiety. With the exception of masculinity interacting with self-surveillance to predict body shame and appearance anxiety, neither gender nor stereotypical gender roles moderated the proposed paths. Implications are discussed.     

Witness self‐efficacy: Development and validation of the construct

Despite the application of Self‐Efficacy Theory (Bandura, 1977 , 2000 ) to many areas of psychology, there is a lack of research on self‐efficacy in the ability to testify in court. The present study fills this gap by incrementally developing the construct of Witness Self‐Efficacy and establishing its psychometric properties. Study I features exploratory and confirmatory factor analyses yielding a two‐factor Witness Self‐Efficacy Scale (WSES). The two components are Poise and Communication Style. Study II uses a second data collection to show that both WSES domains possess convergent, divergent, and predictive validity relations consistent with those expected using an SET framework. Notably, WSES components predicted perceptions of witness credibility and sentencing outcomes above and beyond witness extraversion, general self‐efficacy, and general self‐confidence. Implications for SET and witness preparation training are discussed. Copyright © 2010 John Wiley & Sons, Ltd.     

The unanticipated resilience of trait self-knowledge in the face of neural damage

This paper explores the question of what the self is by reviewing research conducted with both normal and neuropsychological participants. Findings converge on the idea that the self may be more complex and differentiated than some previous treatments of the topic have suggested. Although some aspects of self-knowledge such as episodic recollection may be compromised in individuals, other aspects-for instance, semantic trait summaries-appear largely intact. Taken together, these findings support the idea that the self is not a single, unified entity. Rather, it is a set of interrelated, functionally independent systems. In the process of reviewing neuropsychological findings, an unexpected result emerges: trait self-knowledge appears unusually robust with respect to neural and cognitive damage that render other aspects of self-knowledge dysfunctional in varying degrees.