Line-based affine reasoning in Euclidean plane

We consider the binary relations of parallelism and convergence between lines in a 2-dimensional affine space. Associating with parallelism and convergence the binary predicates P and C and the modal connectives [P] and [C], we consider a first-order theory based on these predicates and a modal logic based on these modal connectives. We investigate the axiomatization/completeness and the decidability/complexity of this first-order theory and this modal logic.     

易道:中国古代文论的哲学基础

《周易》是中国文化的宝贵遗产,它影响了中国文化的诸多方面。《周易》中的天人合一、阴阳互动、通变致久理论,为中国古代文论的主要哲学基础。     

Consequences of Economic Inequality for the Social and Political Vitality of Society: A Social Identity Analysis

Economic inequality has been found to have pernicious effects, reducing mental and physical health, decreasing societal cohesion, and fueling support for nativist parties and illiberal autocratic leaders. We start this review with an outline of what social identity theorizing offers to the study of inequality. We then articulate four hypotheses that can be derived from the social identity approach: the fit hypothesis, the wealth-categorization hypothesis, the wealth-stereotype hypothesis, and the sociostructural hypothesis. We review the empirical literature that tests these hypotheses by exploring the effect of economic inequality, measured objectively by metrics such as the Gini coefficient as well as subjectively in terms of perceptions of economic inequality, on wealth categorization (of others and the self), the desire for more wealth and status, intergroup hostility, attitudes towards immigrants, prosocial behavior, stereotyping, the wish for a strong leader, the endorsement of conspiracy theories, and collective action intentions. As we will show, this research suggests that economic inequality may have even more far-reaching consequences than commonly believed. Indeed, investigating the effects of economic inequality on citizens' sociopolitical behaviors may be increasingly important in today's turbulent political and social landscape.     

7–0? That is awful! Should I trust my national team again?: The role of mindsets in team trust

This investigation examined the role of mindsets in team trust after a major loss. It is proposed that individuals can believe that personal characteristics are fixed and that there is not much one can do about it (a fixed mindset) or that personal characteristics are malleable and that one can improve (a growth mindset). The participants, self-identified football fans, were shown a picture of a major loss experienced by the Mexican national team and then answered questions that assessed the participants' team trust, intention to provide future support, and mindsets. We conceptualised mindsets as latent variables and classes to test our hypotheses. The results from the latent variable model showed a significant, positive influence of a growth mindset on team trust. Similarly, the results from the latent class model showed that the class characterised by high levels of a growth mindset was more likely to trust the national team. Regarding intentions to provide future support to the national team, a growth mindset had an indirect, positive effect through its influence on team trust. Similarly, the class with high levels of a growth mindset was more likely to support the national team in the future. The implications for social psychology and consumer behaviour are discussed.     

Does lack of control lead to conspiracy beliefs? A meta-analysis

Perceived lack of control is widely believed to motivate, at least partly, belief in conspiracy theories. We question the theoretical foundations of this belief and meta-analyze existing published and unpublished studies to assess the overall effect of lack of control on conspiracy beliefs. The overall effect was small and not statistically significant (d = −0.05), and was not moderated by comparison group (baseline vs. control affirmation), type of manipulation used to threaten control, inclusion of a manipulation check, or sample type. However, the predicted effect of control was more likely to be observed when beliefs were measured in terms of specific conspiracy theories, rather than as general or abstract claims. Overall, the present studies to date offer limited support for the hypothesis that conspiracy beliefs arise as a compensatory control.     

The Influence of Arbitrary Breakpoints on Judgments of Maximum Output

Consumers often wonder about the product's maximum output: the highest rotation speed of a blender or the best printing quality of a printer. We examine how the number of levels (e.g., a blender with 3 vs. 7 speeds) influences judgments of maximum product output. Objectively speaking, the number of levels is no more than a set of breakpoints in an already predetermined continuum from the product's minimum to maximum output. Nevertheless, because of the ubiquitous association between number of breakpoints and quantity in daily life, consumers do not simply view more levels as a signal of greater precision (i.e., giving consumers more control over the possible outputs). They also incorrectly believe that the product has greater power (i.e., a higher maximum output), even when such an inference is in conflict with diagnostic attribute information (e.g., watts). A series of five studies documents the phenomenon, its asymmetric nature, and its boundary conditions. Reliance on the inaccurate “more levels, more power” lay theory weakens when participants consider a reduction rather than an increase in number of levels, and it disappears when the consumer is presented with an explicit relationship between each level and its corresponding output value (e.g., level 4:400 W).     

The effect of introspection on judgment and decision making is dependent on the quality of conscious thinking

That introspection may impair certain judgments and result in fabrication has been attributed to a distracting shift from more adaptive intuitive processing to more analytic and conscious processing. This phenomenon was studied in an experiment where participants made multidimensional visual choices. It was found that the effect of this shift on decision-making performance was dependent on the quality of the explanations during introspection, while the performance in silent conditions was not. Therefore, it appears that the effect of introspection on judgments is not only influenced by the thinking mode per se, but also by the individual’s ability to approach the decision problem analytically.