Entailment and Bivalence

My purpose in this paper is to argue that the classical notion of entailment is not suitable for non-bivalent logics, to propose an appropriate alternative and to suggest a generalized entailment notion suitable to bivalent and non-bivalent logics alike. In classical two valued logic, one can not infer a false statement from one that is not false, any more than one can infer from a true statement a statement that is not true. In classical logic in fact preserving truth and preserving non-falsity are one and the same thing. They are not the same in non-bivalent logics however and I will argue that the classical notion of entailment that preserves only truth is not strong enough for such a logic. I will show that if we retain the classical notion of entailment in a logic that has three values, true, false and a third value in between, an inconsistency can be derived that can be resolved only by measures that seriously disable the logic. I will show this for a logic designed to allow for semantic presuppositions, then I will show that we get the same result in any three valued logic with the same value ordering. I will finally suggest how the notion of entailment should be generalized so that this problem may be avoided. The strengthened notion of entailment I am proposing is a conservative extension of the classical notion that preserves not only truth but the order of all values in a logic, so that the value of an entailed statement must alway be at least as great as the value of the sequence of statements entailing it. A notion of entailment this strong or stronger will, I believe, be found to be applicable to non-classical logics generally. In the opinion of Dana Scott, no really workable three valued logic has yet been developed. It is hard to disagree with this. A workable three valued logic however could perhaps be developed however, if we had a notion of entailment suitable to non-bivalent logics.     

Social Anxiety Disorder in Childhood and Adolescence: Current Status and Future Directions

This paper reviews the current status of research on the phenomenology, etiology, maintenance, assessment, and treatment of childhood and adolescent social anxiety disorder (SAD). Despite being one of the most prevalent disorders of childhood and adolescence, SAD paradoxically stands as one of the least recognized, researched, and treated pediatric disorders. The small treatment outcome literature provides preliminary support to the effectiveness of various forms of cognitive behavior therapy. The majority of studies to date, however, are limited by inadequate control conditions. Other findings include some support for the utility of parental involvement in treatment, significant advancements in outcome measures (e.g., normative comparisons, indices of naturalistic social functioning), and impressive durability of gains for the majority of treatments. Future directions are suggested, including experimental and naturalistic studies of developmental pathways and maintenance factors, the incorporation of positive psychology constructs (e.g., positive emotions, hope, self-control) in treatment and prevention, and the continued delineation of differences between child, adolescent, and adult manifestations of SAD.     

不同适应水平小学生有意义事件报告比较——小学生自我调节机制的一项研究

本研究选取发展良好与适应不良的三——五年级小学生为被试,以问卷访谈形式调查他们心目中的正性和负性意义事件。结果表明,两组被试在事件意义体验的人际亲和性、内在一外在性和丰富性方面有明显不同的反映。感受的丰富性表现在正负性意义事件两方面,某种事件负性意义感受的出现是良好适应的表现。     

Does Partisan Bias Modulate Neural Processing of Political Information? An Analysis of the Neural Correlates of Corruption and Positive Messages

Daily worldwide newspapers print articles exposing government corruption. Yet these messages do not lead to a loss of votes for the corrupt parties. Sympathizers’ partisan bias, which respectively minimizes and maximizes corruption and positive messages of their own parties respectively, is widely considered the main cause of the loss of effectiveness of political communications. Despite the well-established existence of such bias when processing political information, little is known as to its psychological origin. Through the use of neuroscience (fMRI), this study explores the underlying brain mechanisms of negative (corruption) and positive political messages related to a conservative and a socialist Spanish political party, as well as the differences between their sympathizers. The findings reveal that negative (vs. positive) political messages exert the greatest neuroimaging impact on the electorate, as shown in aversive, risk, and disappointment-related brain regions. Interestingly, we show that there exists a main partisan bias against opposite parties (and not a positive bias toward one’s own party) that stems from a higher risk, ambiguity, and disbelief provoked by both positive and negative information about rival parties. Furthermore, this bias was more pronounced among conservative supporters. The current findings provide valuable insights for political parties to improve their communication campaigns.     

Drawing to reconstruct: Pilot study on acknowledging prisoners' internal and external resources in a penitentiary institution

Since the first offender rehabilitation treatments, all theoretical approaches have been focusing on reducing risk factors that may influence recidivism, without satisfactory results. Recent resilience research has instead shown the important mediating or moderating role of protective factors and provided the theoretical principles for the Good Lives Model Comprehensive. This holistic model suggests the importance of integrating the reduction of risk factors with the reinforcement of protective factors in offenders' treatment programs. This combined action is considered the main condition through which offenders are motivated to change their life and develop a sense of agency on their current life conditions. This article presents a pilot study, aimed at analyzing the feasibility of a psychosocial intervention, based on graphic workshops. The purpose of the intervention is helping prisoners strive toward adaptation in jail, and facilitating the redesign of their life beyond bars. Drawing activities allowed prisoners to enhance their own internal and external resources, and recognize risk and protective factors that could influence their successful reintegration into society. The main limit of this study is directly linked to the setting of the penitentiary institution where the study was conducted, which is characterized by a high prisoners' turn over.     

Labeled Calculi and Finite-Valued Logics

A general class of labeled sequent calculi is investigated, and necessary and sufficient conditions are given for when such a calculus is sound and complete for a finite-valued logic if the labels are interpreted as sets of truth values (sets-as-signs). Furthermore, it is shown that any finite-valued logic can be given an axiomatization by such a labeled calculus using arbitrary "systems of signs," i.e., of sets of truth values, as labels. The number of labels needed is logarithmic in the number of truth values, and it is shown that this bound is tight.     

Embedding Logics into Product Logic

We construct a faithful interpretation of ukasiewicz's logic in product logic (both propositional and predicate). Using known facts it follows that the product predicate logic is not recursively axiomatizable.We prove a completeness theorem for product logic extended by a unary connective of Baaz [1]. We show that Gödel's logic is a sublogic of this extended product logic.We also prove NP-completeness of the set of propositional formulas satisfiable in product logic (resp. in Gödel's logic).