Gödel's Argument for Cantorian Cardinality

On the first page of “What is Cantor's Continuum Problem?”, Gödel argues that Cantor's theory of cardinality, where a bijection implies equal number, is in some sense uniquely determined. The argument, involving a thought experiment with sets of physical objects, is initially persuasive, but recent authors have developed alternative theories of cardinality that are consistent with the standard set theory ZFC and have appealing algebraic features that Cantor's powers lack, as well as some promise for applications. Here we diagnose Gödel's argument, showing that it fails in two important ways: (i) Its premises are not sufficiently compelling to discredit countervailing intuitions and pragmatic considerations, nor pluralism, and (ii) its final inference, from the superiority of Cantor's theory as applied to sets of changeable physical objects to the unique acceptability of that theory for all sets, is irredeemably invalid.     

Talking about science interests: the importance of social recognition when students talk about their interests in STEM

Although interest development is often conceptualized as a process that occurs within an individual, interest can be developed through various social mechanisms. Messages that suggest that one is or is not welcome within a context may serve to bolster or attenuate interest in those contexts. In a sample of first semester freshmen undergraduate science students, we tested whether or not talking with close others about one’s interests, and receiving social recognition during those conversations, was related to having a greater science career interest over time. Our findings suggest that the way in which students perceive others’ reactions to their scientific interests (social recognition) during these conversations may have the greatest impact on students that face greater external barriers to persisting. We found that positive social recognition appraisals that convey that a listener understands and encourages one’s interest in science predicted a greater science career interest over time for women, but not men. The impact of positive social recognition appraisals on interest in a science career was greatest among women with relatively low or average science identities, but not for women with a relatively high science identity. The implications for the development of students’ interest and for broadening participation in science are discussed.

     

No evidence that alcohol intoxication impairs judgments of learning in face recognition

Alcohol use is frequently involved in crime, making it crucial to understand the role of alcohol in facial recognition to maximize correct perpetrator identifications. Although the majority of the alcohol and face recognition research has investigated recognition with retrospective confidence judgments, we examined the effects of alcohol intoxication on face recognition with prospective metacognitive judgments. Participants (N = 54 university students without a history of hazardous alcohol/substance use) consumed either alcohol (mean breath alcohol concentration of 0.06 at pretest and 0.07 at post‐test) or a non‐alcoholic placebo drink. Participants then studied unfamiliar male and female faces and made judgments of learning (JOLs) for each face (i.e., predicted the likelihood of recognizing that face on a future memory test). After a brief distractor task, participants completed an old–new recognition test on which they attempted to distinguish the studied faces from new faces. It was found that the alcohol manipulation had minimal effect on face recognition performance or judgments of learning. Our results suggest that theory‐based cues about the effects of alcohol might play a greater role in retrospective judgments than prospective judgments. Although not a primary focus of the study, face recognition was better for male faces than female faces, and this occurred for both female and male participants. Limitations and implications of the research are discussed.     

Development of knowledge bases and the reliability of a decision support system for behavioral treatment consultation for persons with mental retardation: The Mental Retardation-Expert

The development of expert and decision support systems requires the collection, organization, codification, and storage of a body of specialized knowledge. The development, using reconstructive methods, of two such knowledge bases, the first containing the current scientific literature and the second containing an expert’s knowledge, is described for an automated decision support system, the Mental Retardation-Expert. This system provides practitioners with assistance in the treatment of aggressive, self-injurious, and destructive behaviors displayed by individuals with mental retardation or developmental disabilities. The average interobserver reliability of the expert knowledge base ranged from 92.5% to 95.0% when calculated across four clinicians’ assessments of 31 abstracted cases.     

Abusive supervision,leader-member exchange,and moral disengagement: A moderated-mediation model of organizational deviance

This paper draws from social exchange theory and social cognitive theory to explore moral disengagement as a potential mediator of the relationship between abusive supervision and organizational deviance. We also explore the moderating effect of leader-member exchange (LMX) on this mediated relationship. Results indicate that employees with abusive supervisors engaged in moral disengagement strategies and subsequently in organizational deviance behaviors. Additionally, this relationship was stronger for those higher in LMX. Important implications for management research and practice are discussed.     

Experimental and Quasi-Experimental Designs in Visitor Studies: A Critical Reflection on Three Projects

Identifying causal relationships is an important aspect of research and evaluation in visitor studies, such as making claims about the learning outcomes of a program or exhibit. Experimental and quasi-experimental approaches are powerful tools for addressing these causal questions. However, these designs are arguably underused in visitor studies. In this article, we offer examples of the use of experimental and quasi-experimental designs in science museums to aide investigators interested in expanding their methods toolkit and increasing their ability to make strong causal claims about programmatic experiences or relationships among variables. Using three designs from recent research (fully randomized experiment, posttest only quasi-experimental design with comparison condition, and posttest with independent pretest design), we discuss challenges and tradeoffs related to feasibility, participant experience, alignment with research questions, and internal and external validity. We end the article with broader reflections on the role of experimental and quasi-experimental designs in visitor studies.     

Constructivist Analytics: Using Data to Enable Deeper Museum Experiences for More Visitors—Lessons from the Learning Sciences

This article defines and outlines constructivist analytics, a framework for understanding how, where, and when the narratives we construct with advanced data analysis can affect positive social change in informal learning environments (such as museums). I ask three core questions based on this framework: How can researchers use analytics to understand what different visitors find valuable? How can we use analytics to help more visitors find value and to improve visitors' experiences when they find value? How can we present and structure analytics in ways that many different stakeholders find valuable? I then suggest possible avenues for both expanding current work in constructivist analytics and developing new angles on positive, effective, and data-rich narratives.