Failure of interpolation in relevant logics

Craig's interpolation theorem fails for the prepositional logicsE of entailment,R of relevant implication andT of ticket entailment, as well as in a large class of related logics. This result is proved by a geometrical construction, using the fact that a non-Arguesian projective plane cannot be imbedded in a three-dimensional projective space. The same construction shows failure of the amalgamation property in many varieties of distributive lattice-ordered monoids.     

Duality for algebras of relevant logics

This paper defines a category of bounded distributive lattice-ordered grupoids with a left-residual operation that corresponds to a weak system in the family of relevant logics. Algebras corresponding to stronger systems are obtained by adding further postulates. A duality theoey piggy-backed on the Priestley duality theory for distributive lattices is developed for these algebras. The duality theory is then applied in providing characterizations of the dual spaces corresponding to stronger relevant logics.The author gratefully acknowledges the support of the National Sciences and Engineering Research Council of Canada.     

Gains v. losses,or context dependence generated by confusion?

Animal Cognition - Tversky and Kahneman introduced the term framing for the finding that people give different answers to the same question depending on the way it is posed. One form of framing...     

Size of the neocerebellar vermis is associated with cognition in healthy elderly men

Cerebellar volumes show small positive correlations with cognitive ability in young adults, but no studies have examined this relationship in older adults. Furthermore, no studies have examined relationships between sizes of subareas of the cerebellum and cognitive ability. We hypothesized that size of the two areas of the neocerebellar vermis would correlate with a battery of eight cognitive tests in 50 men aged 65-70. Size of the neocerebellar areas of the vermis correlated positively with several cognitive tests (r's=.29-.37, p<.05), whilst sizes of other parts of the vermis did not correlate with any cognitive tests. Total cerebellar volumes correlated significantly with a test of nonverbal reasoning (r=.030, p=.42). These findings suggest a specific association of neocerebellar vermis size with variations in cognitive ability in older adults.     

Improvement of Thematic Classification in Offender Profiling: Classifying Serbian Homicides Using Multiple Correspondence,Cluster, and Discriminant Function Analyses

This paper investigates thematic classification of homicides for the purpose of behavioural investigative analysis (e.g. offender profiling). Previous research has predominantly used smallest space analysis (SSA) to conceptualise and classify offences into thematic groups based on crime scene behaviour data. This paper introduces a combined approach utilising multiple correspondence analysis (MCA), cluster analysis (CA), and discriminant function analysis (DFA) to define and differentiate crime scenes into expressive or instrumental and impersonal or personal crimes. MCA is used to derive the latent structural dimensions in the crime data and produce quantitative scores for each offence along these dimensions. Two‐step CA was then utilised to classify offences. Offence dimensional scores were then used to predict cluster membership under DFA, producing cluster centroids corresponding to MCA dimensions. Centroids were plotted on the MCA correspondence map to simultaneously conceptualise crime classification and the latent structure of the Serbian crime data. Classification of offences based on MCA dimensional scores were 91.5% accurate. This MCA–CA–DFA approach may reduce some of the more subjective aspects of SSA methodology used in classification, whilst producing a product more amenable to objective and cumulative review. Implications for offender profiling research utilising SSA and this approach are discussed. Copyright © 2014 John Wiley & Sons, Ltd.     

Hilbert's Inferno: Time Travel for the Damned

Combining time travel with certain kinds of supertask, this paper proposes a novel model for Hell. Temporally‐closed spacetimes allow otherwise impossible opportunities for material kinds of damnation and reveal surprising limitations on metaphysical objections to Hell. Prima facie, eternal damnation requires either infinite amounts of time or time for the damned to speed‐up arbitrarily. However, spatiotemporally finite ‘time travel’ universes can host unending personal torment for infinitely many physical beings, while keeping fixed finite limits on rates of temporal passage. Such ‘Hilbert's Inferno’ spacetimes suggest neither materialism nor the finitude of time and space need forbid Hell. A material Hell can be spatiotemporally finite yet eternal for its inhabitants. Hilbert's Inferno also sheds light on Hell's location and accessibility, and shows that some spacetimes are intrinsically better suited to punishment than reward.     

Comparison of the role of self-efficacy and illness representations in relation to dietary self-care and diabetes distress in adolescents with type 1 diabetes

This cross-sectional study examined the joint effects of self-efficacy and illness representations on dietary self-care and diabetes distress in adolescents with type 1 diabetes by comparing two theoretical models: the Self-regulation Model (Leventhal, H., Meyer, D., & Nerenz, D. (1980). The common-sense representations of illness danger. In S. Rachman (Ed.), Medical Psychology (Vol. 2, pp. 7–30). New York: Pergamon.) and Social Cognitive Theory (Bandura, A. (1997). Self efficacy: The exercise of control. New York: W.H. Freeman.). One hundred and fifty-one adolescents with type 1 diabetes completed self-report measures of dietary self-efficacy, illness representations, dietary self-care and diabetes distress. Data were analysed using structural equation modelling. The model best supported by the data (Leventhal's Self-regulation Model) showed that dietary self-efficacy, perceived consequences and treatment effectiveness had direct and independent effects on both dietary self-care and diabetes distress. Together with dietary self-efficacy, perceived short-term treatment effectiveness was a significant predictor of dietary self-care. Age was found to be a negative predictor of short-term treatment effectiveness beliefs. Diabetes distress was best predicted by self-efficacy and perceived consequences. It can be concluded that to target effectively dietary self-care and distress, clinicians should focus on key illness representation variables (perceived short-term treatment effectiveness and perceived consequences) in conjunction with self-efficacy.     

论人的脆弱性和依赖性

人类所有的脆弱性是人性的一个基本事实。人类的脆弱性与人类的德性需要是内在相关的。但是,在漫长的西方哲学史上,对于人的脆弱性以及人的依赖性这一基本的人性事实却很少有人注意。然而,人类需要承认依赖性的德性。