On the Algebraizability of the Implicational Fragment of Abelian Logic

In this paper we consider the implicational fragment of Abelian logic \({{{\sf A}_{\rightarrow}}}\) . We show that although the Abelian groups provide an semantics for the set of theorems of \({{{\sf A}_{\rightarrow}}}\) they do not for the associated consequence relation. We then show that the consequence relation is not algebraizable in the sense of Blok and Pigozzi (Mem Am Math Soc 77, 1989). In the second part of the paper, we investigate an extension of \({{{\sf A}_{\rightarrow}}}\) in the same language and having the same set of theorems and show that this new consequence relation is algebraizable with the Abelian groups as its equivalent algebraic semantics. Finally, we show that although \({{{\sf A}_{\rightarrow}}}\) is not algebraizable, it is order-algebraizable in the sense of Raftery (Ann Pure Appl Log 164:251–283, 2013).     

Optimisation and mathematical explanation: doing the Lévy Walk

The indispensability argument seeks to establish the existence of mathematical objects. The success of the indispensability argument turns on finding cases of genuine extra-mathematical explanation (the explanation of physical facts by mathematical facts). In this paper, I identify a new case of extra-mathematical explanation, involving the search patterns of fully-aquatic marine predators. I go on to use this case to predict the prevalence of extra-mathematical explanation in science.     

Comparing methods for measuring peak look duration: Are individual differences observed on screen-based tasks also found in more ecologically valid contexts?

Convergent research points to the importance of studying the ontogenesis of sustained attention during the early years of life, but little research hitherto has compared and contrasted different techniques available for measuring sustained attention. Here, we compare methods that have been used to assess one parameter of sustained attention, namely infants’ peak look duration to novel stimuli. Our focus was to assess whether individual differences in peak look duration are stable across different measurement techniques. In a single cohort of 42 typically developing 11-month-old infants we assessed peak look duration using six different measurement paradigms (four screen-based, two naturalistic). Zero-order correlations suggested that individual differences in peak look duration were stable across all four screen-based paradigms, but no correlations were found between peak look durations observed on the screen-based and the naturalistic paradigms. A factor analysis conducted on the dependent variable of peak look duration identified two factors. All four screen-based tasks loaded onto the first factor, but the two naturalistic tasks did not relate, and mapped onto a different factor. Our results question how individual differences observed on screen-based tasks manifest in more ecologically valid contexts.     

Science‐based interviewing: Information elicitation

This article describes an ethical and effective science‐based model of interviewing. An initial planning phase assists the investigative team in separating facts from inferences, decreases the likelihood of errors based on cognitive biases, and prompts careful preparation of the environment. The interview begins with an explanation of why the subject is being questioned. The interviewer then metaphorically hands the interview over to the subject, making him the talker and the interviewer the listener. The interviewer engages in active listening, soliciting as much information from the subject as possible by deploying tactics that enhance memory based on science, including elements of the cognitive interview. Cues to deception are found in the details of the story, rather than in signs of anxiety or nonverbal behaviours, and by deploying Strategic Use of Evidence. This model has been shown to increase cooperation, decrease resistance, and provoke useful information in real‐world criminal interviews.     

Urgently Yours: Temporal Communication Norms and Psychological Distance

Communicators have at their disposal an ever‐increasing variety of modalities by which to transmit messages. Do the prominent norms attached to different communication modalities contain information in and of themselves? The present investigation considers this question through the lens of text messages and emails, hypothesized to confer different normative information about urgency. Text messages (vs. emails)—or any communication inferred by receivers to have been sent with greater urgency—cause the content of those messages to seem, in the eyes of receivers, closer in time (Study 1), closer in space (Study 2), and more likely to occur (Study 3). Moderation and mediation analyses confirm the role of urgency underlying the relationship between modality and distance. We provide evidence for these effects in a series of laboratory studies together with a field study in which real text messages and emails impact not only inferred distance but also a behavior deriving therefrom. Theoretical and practical implications highlight the importance, for both researchers and practitioners, of understanding how the medium of communication can shape interpretation of the message.     

How to endure presentism

Presentism and endurantism are natural bedfellows: arguments have been mounted from endurantism to presentism and vice versa. I generalise an argument against the compatibility between presentism and endurantism offered recently by Tallant (forthcoming. “Presentism, Persistence and Trans-temporal Dependence.” Philosophical Studies). I then show how to reformulate endurantism so that it is compatible with presentism. I demonstrate that this reformulated version of endurantism can do the same work with respect to the problem of temporary intrinsics as can standard definitions.     

Adolescent–parent attachment as a mediator of relations between parenting and adolescent social behavior and wellbeing in China

The purpose of this study was to examine links between parenting dimensions (authoritative parenting, psychological control, and parental authority) and adolescent wellbeing (self‐esteem, autonomy, and peer attachments) as mediated by parent–teen attachment, among Chinese families. The sample included 298 Chinese adolescents, ages 15–18 years (M age = 16.36, SD = .68; 60% female). The mediation model was examined using path analyses (one model with parental authority as overprotection, and one with it as perceived behavioral control). To improve model fit a direct path was added from authoritative parenting to autonomy. Authoritative parenting was positively predictive of attachment, while psychological control and overprotection (but not behavioral control) were negative predictors. In turn, adolescent–parent attachment was positively related to the three outcomes. Lastly, the model paths did not differ by adolescent gender. These findings suggest that parenting behaviors may play a crucial role in adolescent social behaviors and wellbeing via adolescent–parent attachment.     

Acceptance and Commitment Therapy for Eating Disorders: Rationale and Literature Review

Empirical studies using Acceptance and commitment therapy (ACT) and its components to treat eating disorders (EDs) were reviewed. Evidence suggests that emotional avoidance is a major component in the onset and maintenance of EDs. Acceptance and commitment therapy targets emotional avoidance and control strategies with six core processes. These core processes have been applied to EDs and demonstrated improvement in subjects’ functioning and reduction in disordered eating. There are several advantages of using ACT for treating EDs: ACT fundamentally equalizes the therapeutic relationship; experiential techniques in ACT may facilitate lasting treatment gains; ACT navigates the ego-syntonic nature of EDs; the ACT conceptualization based on experiential avoidance and cognitive rigidity in EDs is consistent with current literature. The six core processes of ACT can be further modified to fit the challenges of treating EDs. Specifically, concerns about client motivation for treatment can be addressed by emphasizing creative hopelessness and a values construction process earlier in treatment.