Algebras of Intervals and a Logic of Conditional Assertions

Intervals in boolean algebras enter into the study of conditional assertions (or events) in two ways: directly, either from intuitive arguments or from Goodman, Nguyen and Walker's representation theorem, as suitable mathematical entities to bear conditional probabilities, or indirectly, via a representation theorem for the family of algebras associated with de Finetti's three-valued logic of conditional assertions/events. Further representation theorems forge a connection with rough sets. The representation theorems and an equivalent of the boolean prime ideal theorem yield an algebraic completeness theorem for the three-valued logic. This in turn leads to a Henkin-style completeness theorem. Adequacy with respect to a family of Kripke models for de Finetti's logic, ukasiewicz's three-valued logic and Priest's Logic of Paradox is demonstrated. The extension to first-order yields a short proof of adequacy for Körner's logic of inexact predicates.     

The effects of presession attention on problem behavior maintained by different reinforcers

The effect of presession attention on the later occurrence of problem behavior was examined with elementary-school children with a range of disabilities. Results of analogue functional analyses suggested an escape function, an attention function, or both. Following the analogue functional analyses, the effects of two antecedent conditions (10-min ignore vs. 10-min attention) were compared on problem behavior in subsequent test conditions. For participants who displayed attention-maintained problem behavior, the test condition involved contingent attention for problem behavior. For participants who displayed escape-maintained problem behavior, the test condition involved contingent escape for problem behavior. Results indicated that participants who displayed attention-maintained problem behavior displayed less problem behavior following presession exposure to attention than when ignored. No such effect was found for presession attention on escape-maintained problem behavior. We discuss matching antecedent-based interventions to the results of functional analysis.     

Chaos Theology: A New Approach to the Science-Theology Dialogue

Comparison of the concepts of creation from chaos and creation out of nothing ( creatio ex nihilo ) leads me to reject the latter for several reasons: it is not the biblical concept, and it presents serious conceptual, scientific, and theological problems. Chaos theology is outlined under the headings creation from chaos; chaos and contingency; chaos, evil, and creativity; chaos and incarnation; chaos and eschatology. It is shown to be well suited for the science-theology dialogue by some examples of its application to aspects of cosmic and biological evolution: initial mystery, separation and ordering; chaos and entropy; contingency and fine-tuning of the universe; purpose and progressiveness in evolution; and complexity theory and chaos events.     

Why Don't People Change? What Stops Them from Changing? An Integrative Commentary on the Special Issue on Resistance

This commentary discusses the four papers from the vantage point of a cognitive-developmental view. Psychotherapeutic change involving changes in core cognitive structures is seen as threatening an individual's personal sense of identity as well as security and safety needs. Core cognitive constructs are laid down early via the principle of covariation of events and form the basis of our tacit knowledge base. Subsequent changes in this tacit knowledge is difficult because the core cognitive constructs act like a mental filter to screen in confirming data and screen out disconfirming data. Ambiguous stimuli tend to be interpreted on the basis of preexisting cognitive constructs, even when the match between event and interpretation is not ideal. Several suggestions are given for increasing the probability of changes occurring in core cognitive constructs.     

Evaluation of antecedent stimulus parameters for the treatment of escape-maintained aberrant behavior

We evaluated a methodology for identifying the range of stimulus features of antecedent stimuli associated with aberrant behavior in demand contexts in natural settings. For each participant, an experimental analysis of antecedents (Phase 1) was conducted to confirm the hypothesis that task instructions occasioned increases in aberrant behavior. During Phase 2, specific stimulus features associated with the presentation of task instructions were assessed by evaluating the child's behavior across two distinct settings, therapists, and types of tasks in a sequential fashion. Aberrant behavior occurred immediately across settings and therapists, presumably because the presence of a discriminative stimulus for escape-maintained behavior (the delivery of a task instruction) occasioned aberrant behavior. However, aberrant behavior decreased initially across tasks, suggesting that familiarity with the task might be a variable. During Phase 3, an experimental (functional) analysis of consequences was conducted with 2 participants to verify that aberrant behavior was maintained by negative reinforcement. During Phase 4, a treatment package that interspersed play with task instructions was conducted to disrupt the ongoing occurrence of aberrant behavior. Immediate and durable treatment effects occurred for 2 of the 3 participants.     

How to Identify Negative Actions with Positive Events

It is often assumed that, while ordinary actions are events, ‘negative actions’ (omissions, refrainments, etc.) are absences of events. I claim that a negative action is an ordinary, ‘positive’ event that plays a certain role. I argue that my approach can answer standard objections to the identity of negative actions and positive events.     

Using high-probability foods to increase the acceptance of low-probability foods

Studies have evaluated a range of interventions to treat food selectivity in children with autism and related developmental disabilities. The high-probability instructional sequence is one intervention with variable results in this area. We evaluated the effectiveness of a high-probability sequence using 3 presentations of a preferred food on increasing acceptance in a child with autism who refused a few specific foods. The high-probability sequence increased acceptance of 3 foods. We then systematically faded the intervention for 2 foods.     

Further analysis of variables that affect self-control with aversive events

The purpose of this study was to examine variables that affect self-control in the context of academic task completion by elementary school children with autism. In the baseline assessment of Study 1, mathematics problem completion was shown to be an aversive event, and sensitivity to task magnitude, task difficulty, and delay to task completion were measured. The effects of manipulating values of those parameters on self-control then were assessed. For all participants, self-control increased as a function of one or more changes in task parameter values. In Study 2, the effects of a commitment response on self-control was assessed. Results indicated that for all participants, levels of self-control were higher when the opportunity to commit to the immediate aversive event was available.     

Differential effects of seating arrangements on disruptive behavior of fifth grade students during independent seatwork

We investigated teacher versus student seat selection in the context of group and individual seating arrangements. Disruptive behavior during group seating occurred at twice the rate when students chose their seats than when the teacher chose. During individual seating, disruptive behavior occurred more than three times as often when the students chose their seats. The results are discussed in relation to choice and the matching law.