Investigation into Combinatory Systems with Dual Combinators

Combinatory logic is known to be related to substructural logics. Algebraic considerations of the latter, in particular, algebraic considerations of two distinct implications (, ), led to the introduction of dual combinators in Dunn & Meyer 1997. Dual combinators are "mirror images" of the usual combinators and as such do not constitute an interesting subject of investigation by themselves. However, when combined with the usual combinators (e.g., in order to recover associativity in a sequent calculus), the whole system exhibits new features. A dual combinatory system with weak equality typically lacks the Church-Rosser property, and in general it is inconsistent. In many subsystems terms "unexpectedly" turn out to be weakly equivalent. The paper is a preliminary attempt to investigate some of these issues, as well as, briefly compare function application in symmetric -calculus (cf. Barbanera & Berardi 1996) and dual combinatory logic.     

Der “dritte Weg” der “neo-eurasischen” Zeitschrift “Elementy” -- zurück ins Dritte Reich?

Studies in East European Thought - Articulated in the twenties, the doctrines of the exiled Russian ‘Evrazijstvo’ movement are undergoing a renaissance in Russia today. As the...     

The Suspended Aesthetic: Slavoj Žižek on Eastern European Film

Slavoj iek's writings on Krzysztof Kies´lowski and Andrej Tarkovskij represent direct challenges to the Central and Eastern European tradition of spiritual art and to dominant aesthetic concepts as such. He refuses to separate the solemn films of Kies´lowski and Tarkovskij from popular culture and stresses their import as ethical statements by their directors. Despite this ethical emphasis, iek makes an important contribution to philosophical aesthetics. He implicitly defines art as a suspension of reality which reveals time in its fragility and potentiality. Defining iek's aesthetics in terms of suspension helps to explain his partiality for Kies´lowski and Tarkovskij and bears comparison to the Russian tradition of philosophical aesthetics, in particular Aleksej Losev and Alexander Bakshy.     

Free Łukasiewicz and Hoop Residuation Algebras

Hoop residuation algebras are the {, 1}-subreducts of hoops; they include Hilbert algebras and the {, 1}-reducts of MV-algebras (also known as Wajsberg algebras). The paper investigates the structure and cardinality of finitely generated free algebras in varieties of k-potent hoop residuation algebras. The assumption of k-potency guarantees local finiteness of the varieties considered. It is shown that the free algebra on n generators in any of these varieties can be represented as a union of n subalgebras, each of which is a copy of the {, 1}-reduct of the same finite MV-algebra, i.e., of the same finite product of linearly ordered (simple) algebras. The cardinality of the product can be determined in principle, and an inclusion-exclusion type argument yields the cardinality of the free algebra. The methods are illustrated by applying them to various cases, both known (varieties generated by a finite linearly ordered Hilbert algebra) and new (residuation reducts of MV-algebras and of hoops).     

On Alternative Geometries,Arithmetics, and Logics; a Tribute to Łukasiewicz

The paper discusses the similarity between geometry, arithmetic, and logic, specifically with respect to the question of whether applied theories of each may be revised. It argues that they can - even when the revised logic is a paraconsistent one, or the revised arithmetic is an inconsistent one. Indeed, in the case of logic, it argues that logic is not only revisable, but, during its history, it has been revised. The paper also discusses Quine's well known argument against the possibility of logical deviancy.     

Betrayal And Paranoia: The Psychotherapist's Function as an Intermediary

We present an approach to the problem of structuring a therapeutic alliance with patients presenting paranoid symptoms, using both psychoanalytical and cognitive techniques. Initially, we focused on one of the main aspects of the paranoid worldview: the fear of being betrayed and the tendency to betray. This is a defense maneuver, through which patients deny their passivity, and the impotence in the relationship with their own internal needs and with the significant people in the external world, including the therapist. In our experience to build up a working relationship, both a psychoanalytical interpretation of unconscious conflicts and the cognitive analysis of dysfunctional beliefs are needed. Often, in more serious cases, the role of nonqualified object must be accepted at the beginning, due to the patient's need to be in control of the situation. Only then can a therapeutic phase begin, in most cases, through an integrated approach that includes pharmacological, psychodynamic, and cognitive modalities.     

Reducing reactive aggression in schoolchildren through child,parent, and conjoint parent‐child group interventions: An efficacy study of longitudinal outcomes

This study was the first to evaluate the effectiveness of three different group interventions to reduce children's reactive aggression based on the social information processing (SIP) model. In the first stage of screening, 3,734 children of Grades 4–6 completed the Reactive–Proactive Aggression Questionnaire (RPQ) to assess their reactive and proactive aggression. Respondents with a total score of z ≥ 1 on the RPQ were shortlisted for the second stage of screening by qualitative interview. Interviews with 475 children were conducted to select those who showed reactive aggression featuring a hostile attributional bias. Finally, 126 children (97 males and 29 females) aged 8 to 14 (M = 9.71, SD = 1.23) were selected and randomly assigned to one of the three groups: a child group, a parent group, and a parent–child group. A significant Time × Intervention effect was found for general and reactive aggression. The parent–child group and child group showed a significant drop in general aggression and reactive aggression from posttest to 6‐month follow‐up, after controlling for baseline scores, sex, and age. However, the parent group showed no treatment effect: reactive aggression scores were significantly higher than those in the child group at 6‐month follow‐up. This study has provided strong evidence that children with reactive aggression need direct and specific treatment to reconstruct the steps of the SIP involving the selection and interpretation of cues. The intervention could help to prevent severe violent crimes at the later stage of a reactive aggressor.     

Stepfamilies Doing Family: A Meta‐Ethnography

The present review examines how stepfamily members without a shared history co‐construct a shared family identity and what family processes are relevant in this stepfamily formation. Three databases (Web of Science, PsycInfo, and ProQuest) were systematically searched, resulting in 20 included qualitative studies. The meta‐ethnography approach of Noblit and Hare allowed synthesizing these qualitative studies and constructing a comprehensive framework of stepfamilies doing family. Three interdependent family tasks were identified: (a) honoring the past, (b) marking the present, and (c) investing in the future. Stepfamily members’ experiences of these family tasks are strongly affected by the dominant societal perspectives and characterized by an underlying dialectical tension between wanting to be like a first‐time family and feeling the differences in their family structure at the same time. These findings clearly demonstrate the family work that all stepfamily members undertake and provide a broader context for interpreting stepfamilies’ co‐construction of a new family identity.     

Recruitment and Retention of Low‐SES Ethnic Minority Couples in Intervention Research at the Transition to Parenthood

Low‐SES couples have limited resources to manage the chronic and acute stressors with which they are disproportionately faced. Although these couples are at greater risk for negative individual and relationship outcomes, evaluations of the impact of couple relationship education (CRE) in low‐SES couples have been plagued by methodological problems, most notably challenges associated with recruitment and retention. We review the literature on challenges couples face associated with low‐SES, as well as on recruitment, retention, and CRE in low‐SES, ethnic minority populations. We illustrate some of these challenges in a case study of CRE for low‐SES couples transitioning to parenthood. In this pilot study, 21 couples were recruited from a community health clinic and randomized to either an experimental treatment condition (EXP; N = 11) or a treatment‐as‐usual control condition (TAU; N = 10). This study sought to mitigate documented challenges with recruitment and retention: We leveraged community partnerships, attempted to build and maintain strong relationships with study participants, provided incentives for assessments as well as intervention meetings, and attempted to reduce potential barriers to enrollment and retention. Nonetheless, we had low rates of recruitment and retention. We integrate these findings and experiences with our review of previous work in this area. We make recommendations for future CRE research and practice that have potential implications for public policy in this area.