Two Examples of How the History of Mathematics Can Inform Theology

In several of his writings, Bernard Lonergan emphasized the study of mathematics and especially its history as being important for philosophy and theology. In this article, I offer two examples of how the history of mathematics might inform theology. My first example explores the disparities between Euclid's Elements and Aquinas' Summa Contra Gentiles. My second example applies the idea of incompleteness to the “good and necessary consequence” clause of the Westminster Confession of Faith.     

Theories of reasoning and the representational level: A reply to Oaksford

Oaksford (2001) considers that the findings of Espino, Santamaría, and García Madruga (2000a) could be explained by the Probability Heuristics Model (PHM) proposed by Chater and Oaksford (1999). He specifically voices three objections, the two main ones being based on the fact that PHM is not a theory about syllogism representation. If this is the case, we consider that PHM cannot explain our data, because most of them were registered before the participants evaluated the conclusion. We argue that only a theory at the representational level can property explain these data.     

Universal Biology Does Not Prescribe Planetary Isolationism

Stephen Hawking’s caution against messaging extraterrestrial intelligence is a claim of universal biology and is probably false.     

Long-term aversive taste memory requires insular and amygdala protein degradation

Some reports have shown that the ubiquitin-proteasome system (UPS) is necessary to degrade repressor factors to produce new proteins essential to memory consolidation. Furthermore, recent evidence suggests that memory updating also relies on protein degradation through the UPS. To evaluate whether degradation of proteins is part of the cellular events needed for long-term storage of taste aversion, we injected lactacystin--an UPS inhibitor--into the amygdala and/or insular cortex 30 min before the first or second training trials. The results revealed that degradation of proteins in either the amygdala or insular cortex suffices for long-term stabilization of first-time encounter taste aversion. On the other hand, lactacystin applied in the insula, but not in the amygdala, before the second training prevented long-term storage of updated information. Our results support that degradation of proteins by means of the UPS is required every time taste aversion is to be stored in long-term memory.     

Comparing the temporal stability of self-report and interview assessed personality disorder

Findings from several large-scale, longitudinal studies over the last decade have challenged the long-held assumption that personality disorders (PDs) are stable and enduring. However, the findings, including those from the Collaborative Longitudinal Personality Disorders Study (CLPS; Gunderson et al., 2000), rely primarily on results from semistructured interviews. As a result, less is known about the stability of PD scores from self-report questionnaires, which differ from interviews in important ways (e.g., source of the ratings, item development, and instrument length) that might increase temporal stability. The current study directly compared the stability of the Diagnostic and Statistical Manual of Mental Disorders (4th ed.; DSM-IV) PD constructs assessed via the Schedule for Nonadaptive and Adaptive Personality (SNAP-2; Clark, Simms, Wu, & Casillas, in press) with those from the Diagnostic Interview for DSM-IV Personality Disorders (Zanarini, Frankenburg, Sickel, & Yong, 1996) over 2 years in a sample of 529 CLPS participants. Specifically, we compared dimensional and categorical representations from both measures in terms of rank-order and mean-level stability. Results indicated that the dimensional scores from the self-report questionnaire had significantly greater rank-order (mean r=.69 vs. .59) and mean-level (mean d=0.21 vs. 0.30) stability. In contrast, categorical diagnoses from the two measures evinced comparable rank-order (mean κ=.38 vs. .37) and mean-level stability (median prevalence rate decrease of 3.5% vs. 5.6%). These findings suggest the stability of PD constructs depends at least partially on the method of assessment and are discussed in the context of previous research and future conceptualizations of personality pathology.     

Disentangling the prospective relations between maladaptive cognitions and depressive symptoms

In a four-wave, cohort-longitudinal design with a community sample of 515 children and adolescents (grades 2 through 9), this study examined the longitudinal structure of and prospective interrelations between maladaptive cognitions and depressive symptoms. Multigroup structural equation modeling generated four major findings. First, the longitudinal structures of maladaptive cognitions and depressive symptoms consist of a single time-invariant factor and a series of time-varying factors. Second, evidence supported a model in which depressive symptoms predicted negative cognitions but not the reverse. Third, the time-invariant components of cognition and depression were highly correlated. Fourth, the strength of the depression-to-cognition relation increased with age. Implications regarding the mechanisms underlying clinical interventions with depressed children are discussed.     

Adjective checklist to assess the big five personality factors in the Argentine population

The aim of this work was to develop an adjective checklist to assess the Big Five personality factors in the Argentine population. The new instrument was administered to pilot (n= 112), validation (n= 372), and replication (n= 309) samples. The final version of the checklist included 67 adjectives encompassing its 5 dimensions. Factor analysis results were consistent with the Five-factor model. Internal consistency of scales was very good and convergent correlations with the Big Five Inventory (BFI; John, Donahue, & Kentle, 1991) were substantial. Face validity, as evaluated by 2 independent raters, was good. Preliminary evidence of validity for the checklist is presented. Finally, the Adjective Checklist for Personality Assessment and BFI are compared, taking into consideration their psychometric properties in our cultural context. Study limitations and future research are discussed.     

Alexithymia and experimentally induced emotion recognition in people with somatizations

This study is part of an investigation aimed at assessing the cognitive-emotional process of emotional recognition in somatizing patients. The specific objective was to verify whether there were differences in the self-assessment of emotional reaction among patients with somatization and non-clinical controls. To obtain the self-assessment of their emotional reaction in the affective dimensions of valence and activation in clinical and control participants, we resorted to a procedure that minimizes the use of verbal skills and comprehension. Participants were 119 people, 47 patients and 72 non-clinical participants. The prevalence of alexithymia in the clinical group was 42.55%, whereas in non-clinical controls, it was 30.55%. Results showed the existence of a deficit in the clinical group's self-assessment of activation in response to the corresponding images with high levels of the affective dimension of activation and high valence images, associated with the clinical condition but not with alexithymia. Alexithymia has a modulatory effect on the clinical participants' and controls' evaluation of the valence of the unpleasant images or of low valence pictures.