Distributive lattices with a dual homomorphic operation

The lattices of the title generalize the concept of a De Morgan lattice. A representation in terms of ordered topological spaces is described. This topological duality is applied to describe homomorphisms, congruences, and subdirectly irreducible and free lattices in the category. In addition, certain equational subclasses are described in detail.     

Between Abduction and the Deep Blue Sea

Stathis Psillos and James Ladyman et al. have recently joined battle over Bas van Fraassen's account of abduction and inference to the best explana-tion (IBE), and while van Fraassen makes many interesting criticisms, Psillos has had the best of the exchange. In part I of this paper I aim to extend Psillos' criticisms by suggesting that van Fraassen's critique of IBE is at odds, not only with The Scientific Image but also with his later work. Part II uses some of van Fraassen's ideas to suggest a third way between realist IBE and outright abductive scepticism.     

Repeated assessment of cognition in children and the measurement of performance change.

There is limited understanding of the problems associated with repeated neuropsychological assessment in children, including the statistics used to guide decisions about cognitive change. This study investigated the utility of a computerized assessment battery that was specifically designed for the repeated assessment of cognitive function in children. Eighty-seven participants aged 8 to 12 years completed the battery four times within a 2-hour testing session. The results support the application of this assessment battery for measuring cognitive change in children. A novel method for calculating measurement error is employed, and its use in the detection of cognitive change in individual children is discussed. An estimate of the measurement error within each of the tests is provided, and recommendations are made regarding the application of this assessment battery for measuring cognitive change in children.     

论德性与独立的实践推理者

德性对于人的兴盛是必不可少的。没有道德德性,我们就不能实现从动物性理智到实践推理的转变,其次不能继续有推理的实践;如果不发展某种程度的德性,我们就不能适当地关怀和教育他人。所以,德性必须首先获得,然后才能维持在推理的实践之中。最后,我们在成为实践推理之后,我们仍然需要他人的维护,这种需要同时也是一种对德性的需要。     

Synonymous Logics

This paper discusses the general problem of translation functions between logics, given in axiomatic form, and in particular, the problem of determining when two such logics are synonymous or translationally equivalent. We discuss a proposed formal definition of translational equivalence, show why it is reasonable, and also discuss its relation to earlier definitions in the literature. We also give a simple criterion for showing that two modal logics are not translationally equivalent, and apply this to well-known examples. Some philosophical morals are drawn concerning the possibility of having two logical systems that are empirically distinct but are both translationally equivalent to a common logic.     

Examination of Spatial Working Memory Performance in Children and Adolescents with Attention Deficit Hyperactivity Disorder, Combined Type (ADHD-CT) and Anxiety

Spatial working memory (SWM) is known to be impaired in children with ADHD-CT, whether anxiety is present or not. Yet, it remains unclear whether anxiety disorders add to the SWM impairments evident in ADHD-CT and whether these findings extend into adolescents with ADHD-CT and anxiety. Further, it is not yet known whether children and adolescents with carefully defined anxiety disorders alone, demonstrate SWM deficits. This study explored the association of SWM and its strategy and spatial span components in carefully defined children and adolescents (age 6–16 years) with ADHD-CT alone (N?=?163; 14 % female), ADHD-CT and anxiety (N?=?243; 23 % female), anxiety disorders alone (N?=?69; 25 % female) compared to age- and gender-matched healthy control participants (N?=?116; 19 % female). The relationship between SWM and its strategy and span components and core ADHD-CT symptoms and anxiety symptoms were also examined. There was no evidence of an additive effect of ADHD and anxiety on SWM, strategy and spatial span deficits. But, anxiety disorders alone were associated with impaired SWM and span performance compared to healthy control participants. In contrast, strategy did not differ between children and adolescents with anxiety disorders alone and healthy control participants, suggesting that with anxiety span is the most affected component. Further, these findings were age-independent. This study concurs with and extends current influential models about the cognitive effects of anxiety on performance in the setting of ADHD-CT. Clinical implications and future research directions are discussed.     

Henry M. Sheffer and Notational Relativity

Charles L. Dodgson's reputation as a significant figure in nineteenth-century logic was firmly established when the philosopher and historian of philosophy William Warren Bartley, III published Dodgson's ‘lost’ book of logic, Part II of Symbolic Logic, in 1977. Bartley's commentary and annotations confirm that Dodgson was a superb technical innovator. In this paper, I closely examine Dodgson's methods and their evolution in the two parts of Symbolic Logic to clarify and justify Bartley's claims. Then, using more recent publications and unpublished letters, I argue that Dodgson approached the elimination problem in class logic differently than his contemporaries, and in doing so, anticipated several important concepts and techniques in automated deductive reasoning. These materials also provide additional insight into his reasons for writing this book.     

Can Perceptions of Supervisor-Related Ethical Climate Influence How High-Impression Managers Admit Past Unethical Behavior?

In this study, we investigated how the perceptions of ethical climate as it relates to supervisor behavior and impression management are related to admission of past unethical behavior in a sample of Canadian Army personnel. We expected that among respondents who perceive less ethical supervisor-related climate, the relationship between Impression Management (IM) and the admission of past unethical behavior should be significant and positive. In contrast, among respondents who perceive a more ethical supervisor-related climate, the relationship between IM and self-report past unethical behavior should be weak or nonsignificant, and the frequency of admission of past unethical behavior should be low. Although moderation occurred, it was not as hypothesized. IM predicted admission of having obeyed, or witnessed others obey an unlawful command when perceptions of supervisor-related ethical climate were low, and not when perceptions of supervisor-related ethical climate were high. However, higher (vs. lower) impression managers admitted less past unethical behavior, regardless of their perceptions of supervisor-related ethical climate. These results suggest that high impression managers do not admit to having obeyed or witnessed others obey an unlawful command in the past, regardless of their perceptions of the ethical climate as it relates to supervisor behavior.     

The Factor Structure of Anxiety and Depressive Disorders in a Sample of Clinic-Referred Adolescents

The current study used confirmatory factor analysis (CFA) to examine the factor structure of anxiety and depressive disorders in a sample of clinic-referred adolescents, aged between 12 and 18 years, for diagnoses based on parent (N?=?655; male?=?441) and adolescent (N?=?626; male?=?417) interviews. Three models were examined: a 1-factor model, with all anxiety and depressive disorders in a single factor; a DSM-based 2-factor model, with anxiety disorders in one factor, and depressive disorders in another factor; and an alternate 2-factor model, with fear related anxiety disorders in one factor, and other anxiety and depressive disorders in another factor. The findings indicated support for all three models. Also, ADHD and ODD/CD were associated with only the shared variances between the latent factors in the 2-factor models, and not their unique variance. The implications of the findings for taxonomy, comorbidity, and clinical practice are discussed.     

COMPARING PLEASURE AND PAIN: THE FUNDAMENTAL MATHEMATICAL EQUIVALENCE OF REWARD GAIN AND SHOCK REDUCTION UNDER VARIABLE INTERVAL SCHEDULES

The relationship between positive and negative reinforcement and the symmetry of Thorndike's law of effect are unresolved issues in operant psychology. Here we show that, for a given pattern of responding on variable interval (VI) schedules with the same programmed rate of food rewards (positive reinforcement VI) or electric shocks (negative reinforcement VI), there is a fundamental mathematical equivalence between reward gain and shock reduction. We also provide the first normative account of how animals should respond on a negative VI schedule, showing that it is better to space responses evenly than to respond with a variable interresponse time (IRT). Published data from rats, however, indicate that these animals respond irregularly, often with a burst of activity immediately following a shock. While this is irrational in the experimental setting, it may represent an appropriate response to the heterogeneity of stimuli commonly encountered in natural environments. We discuss the broader implications of our analysis for understanding how animals evaluate appetitive and aversive stimuli.