Gödel’s proof

In 1931, the great Austrian mathematician Kurt Gödel proved “all consistent axiomatic formulations of number theory include undecidable propositions”. This discovery of Gödel and its proof had enormous repercussions in mathematics and computer science. The proof hinged upon the writing of a self-referential mathematical statement, in the same way as the liar’s paradox — I am lying — is a self-referential statement. In this three-part article, we describe Gödel’s discovery and his famous proof.     

Child forensic interviewing in Children's Advocacy Centers: empirical data on a practice model

OBJECTIVE: Children's Advocacy Centers (CACs) aim to improve child forensic interviewing following allegations of child abuse by coordinating multiple investigations, providing child-friendly interviewing locations, and limiting redundant interviewing. This analysis presents one of the first rigorous evaluations of CACs' implementation of these methods. METHODS: This analysis is part of a quasi-experimental study, the Multi-Site Evaluation of Children's Advocacy Centers, which evaluated four CACs relative to within-state non-CAC comparison communities. Case abstractors collected data on investigation methods in 1,069 child sexual abuse cases with forensic interviews by reviewing case records from multiple agencies. RESULTS: CAC cases were more likely than comparison cases to feature police involvement in CPS cases (41% vs. 15%), multidisciplinary team (MDT) interviews (28% vs. 6%), case reviews (56% vs. 7%), joint police/child protective services (CPS) investigations (81% vs. 52%) and video/audiotaping of interviews (52% vs. 17%, all these comparisons p<.001). CACs varied in which coordination methods they used, and some comparison communities also used certain coordination methods more than the CAC with which they were paired. Eighty-five percent of CAC interviews took place in child-friendly CAC facilities, while notable proportions of comparison interviews took place at CPS offices (22%), police facilities (18%), home (16%), or school (19%). Ninety-five percent of children had no more than two forensic interviews, and CAC and comparison differences on number of interviews were mostly non-significant. CONCLUSIONS: Relative to the comparison communities, these CACs appear to have increased coordination on investigations and child forensic interviewing. The CAC setting was the location for the vast majority of CAC child interviews, while comparison communities often used settings that many consider undesirable. CACs showed no advantage on reducing the number of forensic interviews, which was consistently small across the sample.     

University press publishing and the ecology of disciplinary fluidity: General observations

Academic book and journal publishing constitutes the majority focus of university presses. Besides commercial scholarly publishers, academic scholars and researchers view the opportunities provided by university presses as important venues for the dissemination of their research. This discussion focuses on the disciplinary imperative to publish scholarship that is ever more fluid and specialized as academic disciplines continue to become further nuanced in their response to the increasing knowledge produced by humanities and social science inquiry. The focus is on university presses and not commercial scholarly presses, although constitute a significant locus of scholarly publishing. What are the general characteristics of academic specialization and university press publishing? Further, how is disciplinary fluidity, especially evolving specialization, reflected in university press book publishing nomenclature and how scholarship is tied to the intellectual preoccupations of academic specialization? Multi- and inter-disciplinarities further articulate disciplinary publishing, accelerating disciplinary fluidity. Examples from disciplinary and emerging configurations of disciplinary nomenclature utilized by university presses offers insight into specialization and publishing. Academic history publishing is used to illustrate newly emerging fluid disciplinary configurations.     

非形式逻辑及其早期历史发展

"非形式逻辑"作为逻辑的子领域,最初出现于1970至1980年代的美国和加拿大,本文意在回顾非形式逻辑发展的早期历史进程.本文假定,当我们从历史的角度来考察时,非形式逻辑的本质能够得以阐明.因此,我将以观念史领域的评论作为出发点.之所以不从理论的要素谈起并把历史留给历史学家,其中一个理由在于"非形式逻辑"这个词并不指示一个理论.非形式逻辑部分地可看作是某个思潮,部分地可当作一种论证研究进路,部分地涉及到对逻辑之本质的看法,这些都可以通过考察非形式逻辑的发展史来加以理解.本文的第一部分追溯了非形式逻辑的兴起,概括了其思想史和社会史,并评述了其早期发展中的主要人物、教科书,以及主要的论旨及其社会化.第二部分简要描述了<逻辑的自我辩护>这本教科书中的一些革新.第三部分简要涉及非形式逻辑与其它领域的早期互动.     

Factors underlying students' decisions to use mobile devices in clinical settings

University policies prohibiting use of mobile devices by medical students during clinical placements are contradicted by regular use by physicians. Consequently, many students use their mobile devices, which can be beneficial for learning but may put patient privacy at risk. This study explores the reasons underlying students' decisions about using mobile devices in clinical settings. We used a mixed-methods sequential explanatory design involving a questionnaire and focus groups. Qualitative data from the questionnaire and focus groups was analysed through thematic analysis. We found students were aware of the risks mobile devices posed to professionalism and medical practice. Despite prohibitions, many made individual decisions to use mobile devices because the benefits outweighed the risks. These students were influenced by an organised, strategic approach to learning and a motivation to comply with the beliefs and behaviours of their medical teams and conform to physicians' directives in order to participate in their community of practice. Many students appear to be transferring everyday use of mobile devices to clinical settings. There is a need to understand and promote aspects of learning that are enhanced by mobile devices in clinical settings, while articulating clear guidelines and boundaries compatible with the professional behaviour expected of students.     

Discrimination and Ethnic–Racial Identity: Understanding Direction of Effects Using Within- and Between-Person Analyses

Ethnic–racial identity (ERI) development and ethnic–racial discrimination are two salient experiences among adolescents in the United States. Despite growing awareness of the costs and benefits of these experiences individually, we know little about how they may influence one another. The current study examined competing hypotheses relating discrimination and components of ERI (i.e., exploration, resolution, affirmation) among a sample of Mexican-origin adolescent mothers (N = 181; M_age at Wave 1 = 16.83, SD = 1.01) across six waves of data. Findings revealed that within-person changes in discrimination predicted subsequent ERI resolution and affirmation; however, ERI did not predict subsequent discrimination. Between-person effects of discrimination on affirmation were significant. Our findings underscore the importance of discrimination experiences in shaping Mexican-origin adolescent mothers’ normative developmental competencies.