Rules in relevant logic — II: Formula representation

This paper surveys the various forms of Deduction Theorem for a broad range of relevant logics. The logics range from the basic system B of Routley-Meyer through to the system R of relevant implication, and the forms of Deduction Theorem are characterized by the various formula representations of rules that are either unrestricted or restricted in certain ways. The formula representations cover the iterated form,A ₁ .A ₂ . ... .A _n B, the conjunctive form,A ₁&A ₂ & ...A _n B, the combined conjunctive and iterated form, enthymematic version of these three forms, and the classical implicational form,A ₁&A ₂& ...A _n B. The concept of general enthymeme is introduced and the Deduction Theorem is shown to apply for rules essentially derived using Modus Ponens and Adjunction only, with logics containing either (A B)&(B C) .A C orA B .B C .A C.I acknowledge help from anonymous referees for guidance in preparing Part II, and especially for the suggestion that Theorem 9 could be expanded to fully contraction-less logics.     

EFFECTS OF HIGH-PROBABILITY REQUESTS ON THE SOCIAL INTERACTIONS OF YOUNG CHILDREN WITH SEVERE DISABILITIES

High-probability requests were used to increase social interactions in 3 young boys with severe disabilities who had been identified as severely socially withdrawn. A multiple baseline design across participants was used to evaluate the effects of high-probability request intervention on (a) social initiations, (b) social responses, (c) continued interactions, and (d) performance of high- and low-probability requests. The students were observed in a second setting to examine generalization effects across peers who did not participate in the training sequence and settings. The results demonstrated that the high-probability requests increased the students' responsiveness to low-probability requests to initiate social behavior. Increases were also found in (a) unprompted initiations and extended interactions to the training peers, (b) unprompted initiations and extended interactions to peers who were not involved in the training procedure, and (c) generalized unprompted initiations and interactions in a second nontraining setting. The students maintained increased levels of initiations and interactions after all prompts were removed from both the training and nontraining settings.     

The listening heart and the chi square: clinical and empirical perceptions in the family therapy of anorexia nervosa

Clinical and empirical methods are commonly considered to be complementary activities. However, many people in the fields of mental health and social welfare espouse a strong adherence to experimental, scientific methods for the evolution of theory and practice and consider only that which has been experimentally tested as‘really true”. Others would propose the clinical method as the main source of useful knowledge and are suspicious of enumeration and quantification as sources of useful information. Formal, empirical methodology is well and extensively described whilst there is less systematic exposition of the clinical method. Family therapy evolved in a context in which activity was visible and the emerging discipline was propelled by a theoretical framework with strongly scientific origins that was critical of the exclusive clinical method of pre-existing psychotherapies. This paper describes some of the clinically based contributions to the family therapy of anorexia nervosa and compares this information with that which comes out of the Maudsley trials of psychotherapies in anorexia nervosa.     

Direct comparisons between residential and community students on school performance measures in a public school setting

The purpose of the current study was to evaluate the school performance of residential youth who attended a public school setting. Direct comparisons were made between the residential youth and students in the community on a number of school measures. Results from a multivariate analysis of covariance indicated that the residential students had significantly lower grades, participated in significantly fewer extracurricular activities, and exhibited more problematic behaviors such as tardies and absences. These findings were consistent with previous research which found that many residential youth have a number of behavioral, social, and academic difficulties that interfere with school functioning. A number of recommendations were made regarding educational placement for residential youth.     

Brain dynamics,psychophysiological uncertainty and behavioral learning

The present paper takes a first step toward the integration of recent findings on brain dynamics and learning into established fields of psychophysiological science. Leading-edge studies of brain dynamics have shown that the brain manifests an inherent variability and that, when new stimuli (i.e., “problems”) are presented to the organism, brain chaos increases.     

On the application of J.M. Keynes's approach to decision making

It is shown that J. M. Keynes was the originator of what is called a weighted monetary value (WMV) approach to decision making under uncertainty and risk as opposed to either the expected monetary value (EMV) or subjective expected utility (SEU) approaches.     

Relevant implication and the case for a weaker logic

We collect together some misgivings about the logic R of relevant inplication, and then give support to a weak entailment logic DJ^d. The misgivings centre on some recent negative results concerning R, the conceptual vacuousness of relevant implication, and the treatment of classical logic. We then rectify this situation by introducing an entailment logic based on meaning containment, rather than meaning connection, which has a better relationship with classical logic. Soundness and completeness results are proved for DJ^d with respect to a content semantics, which embraces the concept of meaning containment.Dedicated to Robert K. Meyer on the occasion of his 60th birthdayThis paper was presented to the Australasian Association for Logic Conference, A.N.U., Canberra, in July, 1992. This Conference commemorated the 60th birthday of Robert K. Meyer, in recognition of the enormous contribution he has made to Logic, especially to Relevant Logic, and of the general lift he has given to the field in his adopted country, Australia. This paper owes its inspiration to Robert Meyer's Farewell to Entailment [37] and his earlier Why I am not a Relevantist [35]. This paper also owes a great deal to Richard Sylvan who has consistently supported weaker relevant logics at a time when stronger relevant logics were in vogue (see especially [47], Chapter 3). In writing this paper, I have also benefited from conversations with Nuel Belnap, Michael Dunn, Kit Fine and Alasdair Urquhart during a period of study leave in 1991. I also thank Robert Meyer, Michael Dunn, Martin Bunder and John Slaney for useful comments on my conference paper. I would also like to thank the referees of this Journal for their helpful comments, which led me to make substantial improvements to this paper.     

A Social Dilemma Analysis of Commuting Preferences: The Roles of Social Value Orientation and Trust1

The current research advances a social dilemma analysis of commuting, examining the roles of preexisting personality differences in social value orientation (i.e., prosocial vs. proself orientation) and trust (i.e., a general belief in the honesty and cooperative intentions of others) in determining preferences for collectively desirable commuting options: preferences for commuting by public transportation (Study 1) and carpooling (Study 2). Consistent with predictions, both studies revealed that, relative to p of prosocials, preferences of proselfs were more strongly associated with beliefs about the relative efficiency of cars (i.e., an outcome affecting personal well-being). Also, greater preferences for collectively desirable actions were observed among prosocials with high trust—relative to prosocials with low trust and proselfs with high or low trust—providing support for the claim that 2 conditions (i.e., prosocial goals and trust in others) must be met to obtain collectively desirable commuting preferences.     

Effects of a pairing contingency on behavior in a three-person programmed environment

Four groups of three subjects resided for 10 days within a continuously programmed environment. Subjects followed a behavioral program of contingently scheduled activities that determined individual and social behaviors. A triadic condition was in effect when all three subjects were required to select simultaneous access to a group area before it became available for a social episode. A dyadic condition was in effect when access to a group area was permitted to any combination of two, and only two, subjects. The effects of these two conditions on individual and social behaviors were studied in reversal designs with several successive days devoted to each condition. Results showed that durations of social activities and synchronization of individual activities were greater during triadic conditions than during dyadic conditions. Under both conditions, wake-sleep cycles departed from a typical day-night rhythm for most subjects. Instances when subjects did not respond to each others' attempts to initiate conversations using the intercom were generally more frequent during dyadic than triadic conditions. Physical distance during triadic social episodes was found to be related to sociability levels during dyadic conditions.