A Virtue-Based Defense of Mathematical Apriorism

Mathematical apriorists usually defend their view by contending that axioms are knowable a priori, and that the rules of inference in mathematics preserve this apriority for derived statements—so that by following the proof of a statement, we can trace the apriority being inherited. The empiricist Philip Kitcher attacked this claim by arguing there is no satisfactory theory that explains how mathematical axioms could be known a priori. I propose that in analyzing Ernest Sosa’s model of intuition as an intellectual virtue, we can construct an “intuition–virtue” that could supply the missing explanation for the apriority of axioms. I first argue that this intuition–virtue qualifies as an a priori warrant according to Kitcher’s account, and then show that it could produce beliefs about mathematical axioms independent of experience. If my argument stands, this paper could provide insight on how virtue epistemology could help defend mathematical apriorism on a larger scale.     

Exposure-based Interventions for the management of individuals with high levels of needle fear across the lifespan: a clinical practice guideline and call for further research

Needle fear typically begins in childhood and represents an important health-related issue across the lifespan. Individuals who are highly fearful of needles frequently avoid health care. Although guidance exists for managing needle pain and fear during procedures, the most highly fearful may refuse or abstain from such procedures. The purpose of a clinical practice guideline (CPG) is to provide actionable instruction on the management of a particular health concern; this guidance emerges from a systematic process. Using evidence from a rigorous systematic review interpreted by an expert panel, this CPG provides recommendations on exposure-based interventions for high levels of needle fear in children and adults. The AGREE-II, GRADE, and Cochrane methodologies were used. Exposure-based interventions were included. The included evidence was very low quality on average. Strong recommendations include the following. In vivo (live/in person) exposure-based therapy is recommended (vs. no treatment) for children seven years and older and adults with high levels of needle fear. Non-in vivo (imaginal, computer-based) exposure (vs. no treatment) is recommended for individuals (over seven years of age) who are unwilling to undergo in vivo exposure. Although there were no included trials which examined children < 7 years, exposure-based interventions are discussed as good clinical practice. Implementation considerations are discussed and clinical tools are provided. Utilization of these recommended practices may lead to improved health outcomes due to better health care compliance. Research on the understanding and treatment of high levels of needle fear is urgently needed; specific recommendations are provided.     

Distinguishing the Ratio Bias from Unsystematic Error: Situation and Individual‐difference Effects

People often perceive the occurrence of events to be less likely when the likelihood of the event is expressed in ratios consisting of smaller numbers versus larger numbers, an effect known as the ratio bias. This work presents a theoretical framework for the conditions that need to be met for the ratio bias to occur. In doing so, we contrast effects on the ratio bias to those on unsystematic error, which have often been confounded in previous research. We find that the ratio bias is weaker (1) when both sets of numbers are relatively large than when both sets of numbers are relatively small; (2) for scenarios involving lottery tickets than for scenarios involving drawing balls from a bin; and (3) when a physical display depicting the numbers is provided to participants. Each of these factors reduced the ratio bias without reducing unsystematic error. Additionally, we show that unsystematic error is lower among people who (1) reason on the basis of proportions rather than on the basis of the numerator and denominator individually; (2) score higher on the rational scale of the Rational–Experiential Inventory; and (3) are of higher numeracy. We use these results to distinguish causes of error generally from those on the ratio bias specifically and discuss the implications for our understanding of when the ratio bias occurs. Copyright © 2018 John Wiley & Sons, Ltd.     

Cross-cultural comparison of ADHD symptoms among Japanese and US university students

Problems related to attention, hyperactivity, and impulsiveness are known to impact social, academic, and vocational success. When the problems begin in childhood and lead to impaired functioning, the syndrome is identified as attention-deficit/hyperactivity disorder (ADHD). Symptoms of the syndrome persist into adolescence and adulthood for many individuals, but less is known about characteristics of adults compared to children, especially adults attending university. Furthermore, there is little cross-national and cross-cultural research. This study compared DSM-IV-TR ADHD symptoms of US university students (N=271) to Japanese peers (N=712). Comparison of group means on a DSM-IV-TR-based checklist indicated that Japanese students reported more problems with inattention (and overall ADHD symptoms) but not hyperactive-impulsive symptoms. Although differences were statistically significant, effect sizes were small, indicating that for practical purposes, the students reported similar levels of symptoms. Japanese students reported higher rates of meeting or exceeding symptom counts that comprise diagnostic criteria for ADHD, but differences were quite small. Using DSM-IV-TR thresholds, 5.70% of US students and 6.27% of Japanese students reported enough symptoms to meet the cut-off for inattentive, hyperactive/impulsive, or combined type during childhood. With regard to recent problems, 2.66% of US students and 4.52% of Japanese students reported enough symptoms to meet the cut-off for one of the three subtypes. Comparisons using other methods of calculating rates are also provided. This research adds to the limited knowledge of ADHD symptoms in university students across countries and it supports the view that ADHD is not merely a cultural construct. This study is among the first to identify potential attention problems in Japanese university students.     

Counterfactual reasoning and the problem of selecting antecedent scenarios

A recent group of social scientists have argued that counterfactual questions play an essential role in their disciplines, and that it is possible to have rigorous methods to investigate them. Unfortunately, there has been little (if any) interaction between these social scientists and the philosophers who have long held that rigorous counterfactual reasoning is possible. In this paper, I hope to encourage some fresh thinking on both sides by creating new connections between them. I describe what I term “problem of selecting antecedent scenarios,” and show that this is an essential challenge in real-life counterfactual reasoning. Then, I demonstrate that the major extant theories of counterfactuals (especially the Lewis/Stalnaker theory and Igal Kvart’s rival account) are unable to solve this problem. I show that there are instances of real-life counterfactual reasoning in the social sciences that are counterexamples to both of these accounts. And finally, I develop a new theory of how to select antecedent scenarios that overcomes these difficulties, and so would be part of a more adequate theory of counterfactuals (and counterfactual reasoning).     

Longitudinal Test of Forgiveness and Perceived Forgiveness as Mediators between Religiosity and Marital Satisfaction in Long-Term Marital Relationships

Abstract

Substantial research has found relations between religiosity and martial satisfaction. More longitudinal studies are needed to understand the inner-workings of this relationship. Over a four-year period, dyadic data from 331 married couples was used to test the longitudinal mediating effects of spousal forgiveness and partners’ perceptions of spousal forgiveness between religiosity and marital satisfaction. Husbands’ religiosity was associated with increases in wives’ marital satisfaction but the measures of forgiveness were not significant mediators in this relationship. Wives’ religiosity was predictive of lower levels of wives’ perceptions of spousal forgiveness, which led to decreases in both wives’ and husbands’ marital satisfaction.     

The Implications of Adolescents’ Academic Word Knowledge for Achievement and Instruction

The purpose of the current study was to determine relationships between orthographic and morphological awareness of academic words and achievement across content areas. Participants (n = 256), diverse seventh and eighth graders, took three word knowledge measures; two standardized achievement measures were used as outcomes. Orthographic awareness of academic words explained variance in achievement, beyond overall breadth of vocabulary knowledge, with significant changes in R² ranging from 0.02 to 0.08. Morphological awareness of academic words explained variance in achievement, beyond overall breadth of vocabulary knowledge, with significant changes in R² ranging from 0.06 to 0.16.     

Action-control beliefs and behaviors as predictors of change in adjustment across the transition to middle school

Abstract

We examined longitudinal changes in young adolescents’ (N=368) action-control beliefs, coping behaviors, and adjustment (i.e., positive and negative affect, depression, aggression) across the transition from elementary school to middle school. Results indicated greater inter-individual instability in adjustment during this transition than during the previous school year. Using ordinary least-squares (OLS) growth models to extract intra-individual change scores for each variable (i.e., slopes and intercepts), we conducted a series of stepwise regressions to determine which features of control beliefs and coping behaviors best predicted changes in adjustment across the transition to middle school. We found that negative coping behaviors (i.e., antisocial coping) consistently predicted negative changes in the adjustment variables (e.g., greater depression, more aggression), whereas positive beliefs and behaviors did not consistently predict changes in the adjustment variables.     

DETERMINATION AND EVALUATION OF RATE MEASUREMENTS IN THE ANALYSIS OF SPACE MEDICAL DATA

Measures of rate of change and of rate of rate of change are developed for application to physiological and psychological data. Examples are given of the use of these measures with heart-rate data for comparisons within and between subjects. It is shown that the measures provide information over and above that offered by means and variances, and that the measures appropriately reflect the impact of external variables.