A General Setting for Dedekind's Axiomatization of the Positive Integers

A Dedekind algebra is an ordered pair (B, h), where B is a non-empty set and h is a similarity transformation on B. Among the Dedekind algebras is the sequence of the positive integers. From a contemporary perspective, Dedekind established that the second-order theory of the sequence of the positive integers is categorical and finitely axiomatizable. The purpose here is to show that this seemingly isolated result is a consequence of more general results in the model theory of second-order languages. Each Dedekind algebra can be decomposed into a family of disjoint, countable subalgebras called the configurations of the algebra. There are ?₀ isomorphism types of configurations. Each Dedekind algebra is associated with a cardinal-valued function on ω called its configuration signature. The configuration signature counts the number of configurations in each isomorphism type that occurs in the decomposition of the algebra. Two Dedekind algebras are isomorphic iff their configuration signatures are identical. The second-order theory of any countably infinite Dedekind algebra is categorical, and there are countably infinite Dedekind algebras whose second-order theories are not finitely axiomatizable. It is shown that there is a condition on configuration signatures necessary and sufficient for the second-order theory of a Dedekind algebra to be finitely axiomatizable. It follows that the second-order theory of the sequence of the positive integers is categorical and finitely axiomatizable.     

Positive Social Pressure and Prosocial Motivation: Evidence from a Large‐Scale Field Experiment on Voter Mobilization

Political scientists are increasingly exploring the psychological underpinnings of voting behavior using field experimental techniques. Research in psychology demonstrates that positive reinforcement—what I describe as positive social pressure—motivates prosocial behavior. A distinctive feature of the current study is the focus on key subgroups of voters, namely unmarried women and minorities. Attention to these voter subgroups allows us to build upon findings reported in previous studies that leave questions about the generalizability of the reported effects of positive social pressure to key demographic subgroups of voters largely unanswered. This article reports the results of a large‐scale randomized field experiment designed to investigate the impact of positive social pressure on voter turnout. The experiment was conducted during the November 2009 gubernatorial election in New Jersey, and the results suggest positive social pressure mobilizes voters. Moreover, the effects appear to be robust across subgroups of voters, including minorities and unmarried women, and both lower‐ and higher‐propensity voters.     

Posture affects emotional responses: A Head Down Bed Rest and ERP study

Body posture, mainly represented by horizontal bed rest, has been found to be associated with cortical inhibition, altered perceptual and cognitive processing. In the present research, the influence of Head Down Bed Rest (HDBR) – a condition also termed simulated microgravity – on emotional responses has been studied. Twenty-two male subjects were randomly assigned to either Sitting Control or HDBR group. After 3-h, subjects attended to a passive viewing emotional task in which 75 IAPS slides, divided into 25 pleasant, 25 neutral and 25 unpleasant, were presented in random order for 6 s each, while EEG was recorded from F7, F8 and Pz locations. Results showed in Sitting Controls the expected greater P300 and Late Positive Potential (LPP) to pleasant and unpleasant compared with neutral slides, an effect which indicates greater processing of emotional arousing stimuli. The HDBR group showed smaller non-significant differences among all emotional conditions in both ERP components. Arousal and valence subjective evaluations, typically less sensitive to experimental manipulation, did not differentiate groups. The observed ability of HDBR to inhibit cortical emotional responses raises an important issue on the risk that astronauts underestimate a dangerous/threatening situation or that long-term bedridden inpatients develop depressive symptoms.     

对信息源的正向跟随倾向对决策效果的影响*

采用实验研究的方法,检验了二元选择情形下高准确率信息源(准确率x >50%)和低准确率信息源(准确率为1?x)对决策者预测效果的影响。尽管从逻辑上二者从准确率层面具有完全相等的信息价值,然而研究结果显示,决策者更倾向于采用正向跟随而非逆向跟随的方式处理来自信息源的信息。这导致低准确信息源的价值未能得以充分利用。学习和信息源的规范性对该信息处理倾向起到调节作用。     

不同趋近动机强度积极情绪对认知控制的影响

情绪的动机维度模型认为, 积极情绪对认知加工的影响受其趋近动机强度的调节, 高、低趋近动机积极情绪对认知加工的影响不同。本研究运用情绪图片诱发被试高、低趋近动机积极情绪, 采用停止信号任务和任务转换作业考察了不同趋近动机强度积极情绪对认知控制的影响。结果发现：(1)与中性条件相比, 高趋近动机积极情绪促进了停止信号任务中Go任务和任务转换作业中重复任务的反应执行。(2)在停止信号任务中, 相对于中性条件, 低趋近动机积极情绪条件下的停止信号反应时显著缩短; 在任务转换作业中, 低趋近动机积极情绪条件下的反应时转换损失和错误率转换损失均显著降低, 而高趋近动机积极情绪条件下的反应时转换损失显著增加。因此, 积极情绪对认知控制的影响受其趋近动机强度的调节, 即低趋近动机积极情绪增强认知灵活性, 提高停止反应与任务转换的速度; 而高趋近动机积极情绪增强认知稳定性, 加快停止信号任务中Go任务和任务转换作业中重复任务的反应执行, 增加了反应时转换损失。     

Do behavioural self-blame and stigma predict positive health changes in survivors of lung or head and neck cancers?

Survivors of lung or head and neck cancers often change tobacco and alcohol consumption after diagnosis, but few studies have examined other positive health changes (PHCs) or their determinants in these groups. The present study aims to: (a) document PHCs in survivors of lung (n?=?107) or head and neck cancers (n?=?99) and (b) examine behavioural self-blame and stigma as determinants of PHCs. We hypothesised that: (a) survivors would make a variety of PHCs; (b) behavioural self-blame for the disease would positively predict making PHCs; and (c) stigma would negatively predict making PHCs.

Methods: Respondents self-administered measures of PHC, behavioural self-blame, and stigma. Hierarchical multiple regression analysis tested the hypotheses.

Results: More than 65% of respondents reported making PHCs, the most common being changes in diet (25%), exercise (23%) and tobacco consumption (16.5%). Behavioural self-blame significantly predicted PHCs but stigma did not. However, both behavioural self-blame and stigma significantly predicted changes in tobacco consumption.

Conclusions: Many survivors of lung or head and neck cancers engage in PHCs, but those who do not attribute the disease to their behaviour are less likely to do so. Attention to this problem and additional counselling may help people to adopt PHCs.     

The relationship between mental vitality and cardiovascular health

Past measurement of vitality has included both emotional and physical components. Since aspects of physical vitality such as fatigue can be indicative of physical illness, the usefulness of existing measures of vitality to predict health is limited. This research was designed to examine the psychometric properties of a new Mental Vitality Scale and to test its associations with measures of cardiovascular health over the course of 2 years. The measure of mental vitality was administered in a two-part study using three different samples. In part 1, the reliability and validity of the scale was assessed with a student and a clinic sample. In part 2, medical data on mental and physical health were abstracted over a two-year period from 1041 patient records from a multi-specialty medical practice, and mental vitality assessed through a mailed questionnaire. The findings indicate that the Mental Vitality Scale is a valid and reliable questionnaire for measuring this construct. Mental vitality was also associated with reduced odds of several cardiovascular outcomes and prospective analyses suggest that mental vitality may serve a protective function in the development of cardiovascular disease. The results lend support for the importance of mental vitality as a construct that may be relevant for considering resilience in relation to cardiovascular disease.     

The role of positive thinking in social perceptions of cancer outcomes

Pressure for ‘positive thinking’ (PT; i.e. focusing on positive thoughts/suppressing negative thoughts to ‘fight’ cancer) burdens cancer patients facing health deterioration. It was determined whether PT exposure enhanced effort, control and responsibility attributions assigned to an individual for his/her cancer trajectory. Within an online blog a hypothetical same-gender person describes a personal cancer experience. 482 participants were assigned to one of six experimental conditions in which we manipulated PT exposure (blogger learns about ‘power of PT’ but does not try it, blogger tries PT, control/no PT) and cancer outcome (successful/unsuccessful treatment). A 3?×?2?×?2 multivariate analysis of covariance (with personal cancer experience covariates) tested PT exposure?×?cancer outcome?×?gender effects on attributions for the blogger's cancer outcome. Results indicate that PT exposure enhanced effort and responsibility attributions assigned to individuals for their cancer outcomes and that responsibility attributions differed as a function of gender. Findings suggest that exposure to the idea of PT may lead to cancer patients being perceived as culpable if they do not recover from the disease.     

The psychosocial well-being of a “forgotten” South African community: the case of Ndumo,KwaZulu-Natal

This study investigated the psychosocial well-being of an indigenous cultural community in South Africa, using a sequential explanatory mixed-methods design. Data on life satisfaction and emotional, social and psychological well-being were collected from 521 local residents (48% female) of Ndumo in KwaZulu-Natal, South Africa using the Satisfaction-with-Life Scale and Mental Health Continuum. In addition, interviews were conducted with 20 Ndumo residents (35% female). Findings revealed that community members had above-average levels of psychosocial well-being and exhibited significant resilience towards countering socio-economic under-resourcing, including poverty and unemployment. The community resources found to aid resilient living included being able to live off the land, a pleasant climate, personal safety, hope for a better future, and instrumental, material, and social support from philanthropic organisations.     

Moderating role of affectivity in career resilience and career anchors

This study explored the moderating role of positive affect and negative affect in the link between employees’ career resilience and their career anchors . A convenience sample (N=143) of predominantly black African people (86%) and staff level (80%) employees with more than 10 years of service (60%) participated in the study (mean age: 41 years; men: 52%; women: 48%) . Correlational analysis showed significant associations between the variables . Hierarchical moderated regression analysis indicated low positive affect as a significant moderator of the career resilience-managerial competence career anchor relationship . High negative affect and low negative affect significantly weakened the career resilience-entrepreneurial creativity, career resilience-pure challenge and career resilience-lifestyle relationships . The findings add new insights that may be useful for career development support programmes in the contemporary workplace .