Definability and Invariance

In his thesis Para uma Teoria Geral dos Homomorfismos (1944), the Portuguese mathematician José Sebastião e Silva constructed an abstract or generalized Galois theory, that is intimately linked to F. Klein’s Erlangen Program and that foreshadows some notions and results of today’s model theory; an analogous theory was independently worked out by M. Krasner in 1938. In this paper, we present a version of the theory making use of tools which were not at Silva’s disposal. At the same time, we tried to keep in mind, so much as possible, the gist of his standpoint.     

The defeasible nature of coherentist justification

The impossibility results of Bovens and Hartmann (2003, Bayesian epistemology. Oxford: Clarendon Press) and Olsson (2005, Against coherence: Truth, probability and justification. Oxford: Oxford University Press.) show that the link between coherence and probability is not as strong as some have supposed. This paper is an attempt to bring out a way in which coherence reasoning nevertheless can be justified, based on the idea that, even if it does not provide an infallible guide to probability, it can give us an indication thereof. It is further shown that this actually is the case, for several of the coherence measures discussed in the literature so far. We also discuss how this affects the possibility to use coherence as a means of epistemic justification.     

Does your trust in strangers or close acquaintances promote better health? Societal residential mobility matters

ABSTRACT

Some studies indicated that different types of trust are qualitatively different psychological experiences, which may lead to different health outcomes. The present study examined the effect of two types of trust, i.e., generalized trust and interpersonal trust, on promoting physical health and subjective well-being in regions varying in societal residential mobility. The data from a nationally representative sample, including 10,968 participants from 28 provinces/municipalities in China, were analyzed. The results showed that the negative relationship between generalized trust and depressed mood was stronger in the regions with higher societal residential mobility whereas the positive relationship between interpersonal trust and physical health and the negative relationship between interpersonal trust and depressed mood were stronger in the regions with lower societal residential mobility. These results highlight the importance of socio-ecological characteristics in understanding the adaptive functions of different types of social capital on health outcomes. (143 words; max: 150 words)     

Generalized Anxiety Disorder in Older Medical Patients: Diagnostic Recognition, Mental Health Management and Service Utilization

Background Primary care physicians often treat older adults with Generalized Anxiety Disorder. Objective To estimate physician diagnosis and recognition of anxiety and compare health service use among older adults with GAD with two comparison samples with and without other DSM diagnoses. Methods Participants were 60+ patients of a multi-specialty medical organization. Administrative database and medical records were reviewed for a year. Differences in frequency of health service use were analyzed with logistic regression and between-subjects analysis of covariance. Results Physician diagnosis of GAD was 1.5% and any anxiety was 9%, and recognition of anxiety symptoms was 34% in older adults with GAD. After controlling for medical comorbidity, radiology appointments were increased in the GAD group relative to those with and without other psychiatric diagnoses, χ² (2, N = 225) = 4.75, p < .05. Conclusions Most patients with anxiety do not have anxiety or symptoms documented in their medical records.     

Nonparametric item response theory axioms and properties under nonlinearity and their exemplification with knowledge space theory

This paper investigates the dichotomous Mokken nonparametric item response theory (IRT) axioms and properties under incomparabilities among latent trait values and items. Generalized equivalents of the unidimensional nonparametric IRT axioms and properties are formulated for nonlinear (quasi-ordered) person and indicator spaces. It is shown that monotone likelihood ratio (MLR) for the total score variable and nonlinear latent trait implies stochastic ordering (SO) of the total score variable, but may fail to imply SO of the nonlinear latent trait. The reason for this and conditions under which the implication holds are specified, based on a new, simpler proof of the fact that in the unidimensional case MLR implies SO. The approach is applied in knowledge space theory (KST), a combinatorial test theory. This leads to a (tentative) Mokken-type nonparametric axiomatization in the currently parametric theory of knowledge spaces. The nonparametric axiomatization is compared with the assumptions of the parametric basic local independence model which is fundamental in KST. It is concluded that this paper may provide a first step toward a basis for a possible fusion of the two split directions of psychological test theories IRT and KST.     

Look before you leap: the role of negative urgency in appraisals of ambiguous and unambiguous scenarios in individuals high in generalized anxiety disorder symptoms

Negative interpretation bias, the propensity to make threatening interpretations of ambiguous information, is associated with symptoms of generalized anxiety disorder (GAD). Apart from its relationship with intolerance of uncertainty (IU), little is known about what explains the presence of this cognitive bias in GAD. One factor may be negative urgency (NU), the tendency to take rash action when distressed, which is related to GAD symptoms and to cognitive biases in nonclinical populations. The aim of the present study was to examine the relationship between NU and interpretation bias in individuals high in GAD symptoms (N = 111). IU, trait anxiety, and other forms of impulsivity were examined concurrently as competing correlates of interpretation bias. Greater NU and IU were found to be unique correlates of greater threatening interpretations of ambiguous scenarios. Greater NU was also a unique correlate of greater threatening interpretations of negative and positive scenarios. No other forms of impulsivity were uniquely related to interpretation bias. The findings suggest that greater NU may have a role in the tendency for individuals high in GAD symptoms to make threatening interpretations in response to ambiguous scenarios, overtly threatening situations, and situations without indication of threat or danger. Theoretical implications of these findings are discussed.     

Is There a Place for Traditional Values and Virtues in Society Today?

This paper argues that rather than looking to the past for a previously developed set of traditional values and virtues we should instead look to the past for ways of thinking about morality and ethics which may be found in the “tradition” and which may also be relevant for the contemporary situation. It examines the causes of the disconnection between traditional ways of thinking and the contemporary situation at two levels: the marginalization of morality and the disarray in ethics. Both aspects are found to be rooted in the emergence of the empirical scientific differentiation of consciousness. The paper then goes on to ask what resources in the tradition may be found to overcome the gap between ancient and modern, or traditional and contemporary, ways of thinking about morality and ethics. The contemporary relevance of the thought of Bernard Lonergan to this issue is examined.     

Should metacognition be measured by logistic regression?

Are logistic regression slopes suitable to quantify metacognitive sensitivity, i.e. the efficiency with which subjective reports differentiate between correct and incorrect task responses? We analytically show that logistic regression slopes are independent from rating criteria in one specific model of metacognition, which assumes (i) that rating decisions are based on sensory evidence generated independently of the sensory evidence used for primary task responses and (ii) that the distributions of evidence are logistic. Given a hierarchical model of metacognition, logistic regression slopes depend on rating criteria. According to all considered models, regression slopes depend on the primary task criterion. A reanalysis of previous data revealed that massive numbers of trials are required to distinguish between hierarchical and independent models with tolerable accuracy. It is argued that researchers who wish to use logistic regression as measure of metacognitive sensitivity need to control the primary task criterion and rating criteria.     

Inscrutability and ontological commitment

There are two doctrines for which Quine is particularly well known: the doctrine of ontological commitment and the inscrutability thesis—the thesis that reference and quantification are inscrutable. At first glance, the two doctrines are squarely at odds. If there is no fact of the matter as to what our expressions refer to, then it would appear that no determinate commitments can be read off of our best theories. We argue here that the appearance of a clash between the two doctrines is illusory. The reason that there is no real conflict is not simply that in determining our theories’ ontological commitments we naturally rely on our home language but also (and more importantly) that ontological commitment is not intimately tied to objectual quantification and a reference-first approach to language. Or so we will argue. We conclude with a new inscrutability argument which rests on the observation that the notion of objectual quantification, when properly cashed out, deflates.

The structure of feared social situations among individuals with a lifetime diagnosis of social anxiety disorder in two independent nationally representative mental health surveys

The present study employed both exploratory and confirmatory factor analytic approaches with nationally representative samples of individuals with a lifetime diagnosis of social anxiety disorder (n=1123; n=3091, respectively) using split-halves of the National Comorbidity Replication Survey (n=9282) and cross-validated with the Canadian Community Health Survey on Mental Health and Wellbeing (n=36,984). Strong support was found for a three-factor solution. This model was obtained from exploratory factor analysis and was further evaluated using two confirmatory factor analytic investigations in the two national samples. The three social situational domains reflected (1) Social Interaction Fears, (2) Observation Fears, and (3) Public Speaking Fears. Individuals with generalized social anxiety disorder (i.e., those who endorsed 7 or more of 13 feared social situations assessed in the survey) were significantly more likely to report Social Interaction Fears and Observation Fears compared to individuals with non-generalized social anxiety disorder (i.e., those who endorsed only 6 or fewer of 13 feared social situations). Individuals with generalized social anxiety were particularly characterized by combinations of Public Speaking Fears plus Social Interaction Fears and Observation Fears. The clinical and classification implications of our study for DSM-V are discussed.