Celebrazioni di Giuseppe Peano nel 150° della nascita e nel 100° del Formulario Mathematico

After an introduction which demonstrates the failure of the equational analogue of Beth’s definability theorem, the first two sections of this paper are devoted to an elementary exposition of a proof that a functional constant is equationally definable in an equational theory iff every model of the set of those consequences of the theory that do not contain the functional constant is uniquely extendible to a model of the theory itself.Sections three, four and five are devoted to applications and extensions of this result.Topics considered here include equational definability in first order logic, an extended notion of definability in equational logic and the synonymy of equational theories.The final two sections briefly review some of the history of equational logic     

Individual differences in ego depletion: The role of sociotropy-autonomy

In his cognitive theory of depression, Beck (1987) suggested that highly sociotropic individuals have a strong need for social acceptance whereas highly autonomous individuals have an excessive need for achievement. Research by Baumeister (2000) has suggested that a phenomenon known as ego depletion, the weakening of performance on tasks following active self-control, occurs because it depletes a limited inner resource. The present study examined whether individuals who are highly sociotropic or autonomous would respond differently when faced with tasks requiring self-control. Participants completed the Sociotropy-Autonomy Scale (Clark et al. 1995) and engaged in two active self-control tasks. The results revealed that sociotropy levels were negatively correlated with persistence on tasks that require self-control whereas autonomy was positively correlated to persistence on the same task. In addition, the results suggested that, following a task requiring self-control, highly sociotropic individuals expend less effort, whereas highly autonomous individuals expend more effort on subsequent tasks requiring self-control.     

Collaboration Between Clergy and Mental Health Professionals: A Review of Professional Health Care Journals From 1980 Through 1999

Given the frontline role of community clergy in mental health care, this study examined how collaboration with clergy was viewed by mental health and other health professionals outside of the religious community. Searches of health care journals on Medline and PsycINFO yielded 44 articles from non‐religious journals from 1980 through 1999 that specifically addressed collaboration between clergy and mental health professionals. Seven themes were identified through content analysis, including the benefits of collaboration to each profession, the need to increase the clergy's knowledge about mental heath, and the importance of referrals. Discussion about interdisciplinary referrals significantly increased over time, r_ø (1, N = 44) = .31, p < .05).     

Explaining Façades of Choice: Timing, Justice Effects, and Behavioral Outcomes

Organizations sometimes present their members with facades of choice: situations that appear to promise a choice but that, in fact, do not do so. Our study examines how facades of choice, relative to genuine choice, influence justice perceptions and negative and compensatory behavioral reactions. We then consider how the adequacy and timing of explanations for façades of choice affect justice perceptions and negative and compensatory reactions following façades of choice. Results indicate that the impact of explanations is influenced by their adequacy and timing (before or after one actually suffers the broken promise inherent in a façade of choice), suggesting that the experience of an injustice may frame a person's understanding of the explanation given for that injustice.     

Syntactic features and synonymy relations: a unified treatment of some proofs of the compactness and interpolation theorems

This paper introduces the notion of syntactic feature to provide a unified treatment of earlier model theoretic proofs of both the compactness and interpolation theorems for a variety of two valued logics including sentential logic, first order logic, and a family of modal sentential logic includingM,B,S ₄ andS ₅. The compactness papers focused on providing a proof of the consequence formulation which exhibited the appropriate finite subset. A unified presentation of these proofs is given by isolating their essential feature and presenting it as an abstract principle about syntactic features. The interpolation papers focused on exhibiting the interpolant. A unified presentation of these proofs is given by isolating their essential feature and presenting it as a second abstract principle about syntactic features. This second principle reduces the problem of exhibiting the interpolant to that of establishing the existence of a family of syntactic features satisfying certain conditions. The existence of such features is established for a variety of logics (including those mentioned above) by purely combinatorial arguments.Presented byMelvin Fitting     

Transitive inference in pigeons: Control for differential value transfer

Transitive inference (TI) effects have been demonstrated in several nonhuman species using a nonverbal version of the task in which A is better than B is represented in a simple simultaneous discrimination, A+B?. Following five-term training (e.g., A+B?, B+C?, C+D?, D+E?), the choice of B over D on test trials is taken as evidence of TI. Recently, differential value transfer from the S+ to the S? in a simultaneous discrimination has been proposed as a noncognitive basis for these effects. Two experiments were conducted to control for differential value transfer. The results suggest that differential value transfer is not the only basis for nonhuman TI performance. An alternative account based on spatial mapping is discussed.     

Working with potentially dangerous persons: What clergy need to know

This article addresses the increasing involvement of clergy in dangerous situations, particularly family violence. It provides a quick reference guide to assist clergy in assessing for the risk of potential violence with suggested interventions. In a society that is marked by unprecedented levels of violence and a shortage of mental health services, clergy are increasingly being confronted by dangerous situations that require expert crisis intervention skills. This article provides specific, concrete guidelines for clergy confronted by violence in ministry.The Earth is full of violence.Genesis 6:13This article is dedicated to the memory of The Reverend Harold M. Eads of Topeka, Kansas who was stabbed to death in his apartment on December 17, 1978 in East Harlem, New York where he served the poor and disinherited as a United Methodist minister.