Categoricity

After a short preface, the first of the three sections of this paper is devoted to historical and philosophic aspects of categoricity. The second section is a self-contained exposition, including detailed definitions, of a proof that every mathematical system whose domain is the closure of its set of distinguished individuals under its distinguished functions is categorically characterized by its induction principle together with its true atoms (atomic sentences and negations of atomic sentences). The third section deals with applications especially those involving the distinction between characterizing a system and axiomatizing the truths of a system.     

The Absence of Multiple Universes of Discourse in the 1936 Tarski Consequence-Definition Paper

This paper discusses the history of the confusion and controversies over whether the definition of consequence presented in the 11-page 1936 Tarski consequence-definition paper is based on a monistic fixed-universe framework—like Begriffsschrift and Principia Mathematica. Monistic fixed-universe frameworks, common in pre-WWII logic, keep the range of the individual variables fixed as ‘the class of all individuals’. The contrary alternative is that the definition is predicated on a pluralistic multiple-universe framework—like the 1931 Gödel incompleteness paper. A pluralistic multiple-universe framework recognizes multiple universes of discourse serving as different ranges of the individual variables in different interpretations—as in post-WWII model theory. In the early 1960s, many logicians—mistakenly, as we show—held the ‘contrary alternative’ that Tarski 1936 had already adopted a Gödel-type, pluralistic, multiple-universe framework. We explain that Tarski had not yet shifted out of the monistic, Frege–Russell, fixed-universe paradigm. We further argue that between his Principia-influenced pre-WWII Warsaw period and his model-theoretic post-WWII Berkeley period, Tarski's philosophy underwent many other radical changes.     

When Harry met Meghan (got married,had a baby,and “Megxited”): Intergroup anxiety,ingroup norms,and racialized categorization as predictors of receptivity to interracial romances

Despite being frequently met with disapproval, interracial romantic relationships have the potential to transform intergroup relations through marriage and children. However, relatively little is known about the receptivity to these important intergroup relationships. Capitalizing on three historical events involving a world-famous interracial couple, Prince Harry and Meghan, we expand the intergroup relations literature by longitudinally and cross-sectionally examining White Briton's perceptions and receptivity to interracial romances. Study 1 (N = 585) showed that intergroup anxiety around the couple's wedding was longitudinally associated with less receptivity to interracial dating and less favorable intergroup attitudes a month later, even when controlling for strong autoregressive paths. Study 2 (N = 402), conducted around the birth of the couple's son (Archie), found that intergroup anxiety (negatively) and favorable ingroup norms (positively) were longitudinally associated with receptivity to intergroup romances and favorable intergroup attitudes a month later in statistically conservative tests. Study 3 (N = 507), conducted at the time of the so-called “Megxit,” cross-sectionally found that media exposure to Meghan was positively associated with favorable ingroup norms which was, again, related to positive intergroup outcomes. However, these associations were suppressed by the perception that Meghan had tainted the Royal Family which was, in turn, negatively associated with the intergroup outcomes. Moderation analyses across the studies revealed these associations were often stronger for those who categorized the biracial Royals as more Black (vs. White). Together, the novel research highlights the often-complex perceptions and longitudinal predictors of interracial romances and does so in historic social contexts.     

Strange Affinities in the Search for Personalized Health: New Age Practices and Genetic Testing

A prominent focus of New Age beliefs and practices has always been health and healing—including the use of holistic healing, power crystals, homeopathy, and complementary and alternative medicine. Given its association with modern science and medicine, genetic testing would seem to run counter to New Age alternative medical practices. On the other hand, the use of at-home genetic health tests and the use of such New Age alternative medical practices could both be motivated by a desire for personalized healthcare. Using data generated from a survey fielded on a probability sample of U.S. adults, we examine associations between individuals’ use of at-home genetic health tests and their use of power crystals and acupuncture or other homeopathic medicine. Logistic regression models find that those who use power crystals or homeopathic medicine have significantly greater odds of having used an at-home genetic health test. We discuss the implications of these findings for our understanding of the direct-to-consumer genetic testing market and the relationship between science, religion, and spirituality more broadly.     

Tracking speakers’ false beliefs: is theory of mind available earlier for word learning?

Happé and Loth (2002) describe word learning as a 'privileged domain' in the development of a theory of mind. We test this claim in a series of experiments based on the Sally-Anne paradigm. Three- and 4-year-old children's ability to represent others' false beliefs was investigated in tasks that required the child either to predict the actions of a protagonist in a story or to learn the meaning of a new word used by the protagonist. Experiment 1 replicated previous findings of better performance in a false belief word-learning task compared to a false belief action-prediction task. However, systematic manipulation of the task parameters in Experiments 2 and 3 revealed that this performance discrepancy disappeared when tasks were equated in their 'referential pull' (Perner, Rendl & Garnham, 2007). We conclude that the notion of a precocious theory of mind for word learning is not required to explain dissociations in performance on false belief tasks.     

The "cost of caring" in youths' friendships: considering associations among social perspective taking, co-rumination, and empathetic distress

The current research considered the costs of caring in youths' friendships. The development of a new construct, empathetic distress, allowed for a direct test of the commonly held belief that females suffer greater vicarious distress in response to close others' stressors and problems than do males. Empathetic distress refers to one's strongly sharing a relationship partner's distress over problems to the point of taking on the partner's distress and experiencing it as one's own. This new construct was examined in an ethnically diverse sample of early adolescents who responded to a series of questionnaires in their classrooms. Results indicated that girls did experience greater empathetic distress in friendships than did boys. In addition, the current research revealed that social perspective taking in friendships (i.e., the social-cognitive ability to infer and understand the friend's perspective) had adjustment trade-offs in that it predicted greater positive friendship quality but also greater empathetic distress in the friendship. Interestingly, the associations of social perspective taking with both positive friendship quality and empathetic distress were partially mediated by co-rumination or excessive discussion of problems. Applied implications of the findings that girls' greater social perspective taking and associated co-rumination contributed both to their greater positive friendship quality but also to greater costs of caring in the form of empathetic distress are discussed.     

Dropping the weight stigma: Nostalgia improves attitudes toward persons who are overweight

Weight stigma, a negative attitude toward persons who are overweight, can lead to emotional detriment (increased vulnerability to depression and anxiety, decreased self-esteem) and discriminatory practices (denial of employment, lower wages, refusal of job promotion or college admission, healthcare deprivation), which have increased dramatically in the United States over the past decade. We report two experiments that implicate nostalgia as a resource or strategy for weight stigma reduction. We hypothesized and found that nostalgia about an encounter with a person who is overweight improves attitudes toward the group “overweight.” Undergraduates who recalled a nostalgic (vs. ordinary) interaction with an overweight person subsequently showed more positive outgroup attitudes. The effect of nostalgia on outgroup attitudes was mediated by greater inclusion of the outgroup in the self and increased outgroup trust (Experiments 1 and 2), as well as reduced intergroup anxiety and greater perceptions of a common ingroup identity (Experiment 2). The findings have interventional potential.     

Suppression of novel stimuli: Changes in accessibility of suppressed nonverbalizable shapes

Recently, a new method of considering successful intentional thought suppression has emerged. This method, the think/no-think (TNT) paradigm has been utilized over a multitude of settings and has fairly robustly demonstrated the ability to interfere with memory recall. The following experiment examined the effect of intentional thought suppression on recognition memory of nonverbalizeable shapes. In this experiment, participants learned word-shape targets. For some of the pairs, they rehearsed the shape when presented with the word; for others, they suppressed the shape when presented with the word. Finally, participants were shown multiple shapes, one at a time, and asked to identify which they had previously seen as paired with a word. Results of the experiment indicated that, similar to results involving words, participants were less accurate in identifying suppressed shapes, as compared to rehearsed shapes. Implications of these findings are discussed.     

National Suicide Rates a Century after Durkheim: Do We Know Enough to Estimate Error?

Durkheim's nineteenth‐century analysis of national suicide rates dismissed prior concerns about mortality data fidelity. Over the intervening century, however, evidence documenting various types of error in suicide data has only mounted, and surprising levels of such error continue to be routinely uncovered. Yet the annual suicide rate remains the most widely used population‐level suicide metric today. After reviewing the unique sources of bias incurred during stages of suicide data collection and concatenation, we propose a model designed to uniformly estimate error in future studies. A standardized method of error estimation uniformly applied to mortality data could produce data capable of promoting high quality analyses of cross‐national research questions.