Is Mathematics a Domain for Philosophers of Explanation?

In this paper we discuss three interrelated questions. First: is explanation in mathematics a topic that philosophers of mathematics can legitimately investigate? Second: are the specific aims that philosophers of mathematical explanation set themselves legitimate? Finally: are the models of explanation developed by philosophers of science useful tools for philosophers of mathematical explanation? We argue that the answer to all these questions is positive. Our views are completely opposite to the views that Mark Zelcer has put forward recently. Throughout this paper, we show why Zelcer’s arguments fail.     

Does excusable ignorance absolve of liability for costs?

Excusable ignorance not only undermines moral culpability but also agent-responsibility. Therefore, excusable ignorance absolves of liability for costs. Specifically, it defeats liability that is meant to be derived from causal responsibility wherever strict liability cannot be justified. To establish these claims this paper (1) assesses the potential of arguments for liability of excusably ignorant agents and thereby demarcates the proper domain of strict liability and (2) traces the intuition that seemingly supports strict liability accounts to more general principles. The paper concludes that liability cannot be justified in cases of excusable ignorance. Finally, it (3) stresses that although excusable ignorance defeats the link from causal responsibility to liability for costs this does not imply that victims are left to fend for themselves.     

Sacred Canopies or Religious Markets? The Effect of County-Level Religious Diversity on Later Changes in Religious Involvement

Secularization theories, such as Berger's Sacred Canopy argument, hold that religious diversity leads to a decline in religious participation. Religious market models (e.g., Finke and Stark) argue the opposite. Voas, Olson, and Crockett found that nearly all of the vast research exploring this important question prior to 2002 was flawed due to a previously unrecognized noncausal statistical relationship between measures of religious diversity and measures of religious participation. Since 2002, this methodological issue has largely stymied research on this important topic. We first describe how, following Voas et al.’s recommendations, longitudinal models can overcome these problems. We then apply these methods to data measuring the religious composition of all U.S. counties found in the Religious Congregations and Membership Studies from 1980, 1990, 2000, and 2010. Using multilevel longitudinal regression models, we find that greater county-level religious diversity is followed by later declines in county-level religious participation rates. The negative effect size of religious diversity is large and robust to changes in the control variables and different methods of measuring religious diversity.     

Strategies Aimed at Reducing Gender Differences in Negotiation Are Perceived by Women as Ineffective

Sex Roles - Women often fare worse in negotiations than men. Negotiation researchers, trainers, and policymakers thus aim to find solutions—such as specific strategies for female...     

Thinking around the corner: the development of planning abilities

The ability to plan and search ahead is essential for problem solving in most situations in everyday life. To investigate the development of planning and related processes, a sample of four- and five-year-old children was examined in a variant of the Tower of London, a frequently used neuropsychological assessment tool of planning abilities. The applied problems either required searching ahead for optimal solution or were solvable by pure step-by-step forward processing. Furthermore, the ambiguity of subgoal ordering was varied.Results revealed an age-related effect of search depth: the four-year olds’ planning accuracy was particularly decreased in problems demanding search ahead, while five-year olds mastered both problem types equally well. Interestingly, this interaction between age and search depth could not be accounted for by measures of working memory and inhibition. Differential effects of age were also found for subgoal ordering with respect to initial planning and movement execution times. In sum, planning abilities showed considerable development during late kindergarten age that appeared to be specifically associated with the integration and back-validation of the anticipated consequences of internally modeled actions. The present study demonstrates that a careful consideration of problem structure may greatly enhance the insights gained from the application of a routinely used assessment tool, the Tower of London. This may be especially advantageous when addressing specific subpopulations such as children or clinical samples.     

Perfectionism in school teachers: relations with stress appraisals, coping styles, and burnout

Many school teachers suffer from stress and burnout, and perfectionism is a personality characteristic that has been associated with increased stress, maladaptive coping, and burnout. Recent findings, however, show that perfectionism has both positive and negative facets. To investigate how these facets are related to stress, coping, and burnout in teachers, a sample of 118 secondary school teachers completed multidimensional measures of perfectionism, stress appraisals, coping styles, and burnout. Multiple regression analyses showed that striving for perfection was positively related to challenge appraisals and active coping and inversely to threat/loss appraisals, avoidant coping, and burnout whereas negative reactions to imperfection were positively related to threat/loss appraisals, avoidant coping, and burnout and inversely to challenge appraisals and active coping. Perceived pressure to be perfect showed differential relationships depending on the source of pressure: Whereas pressure from students was positively related to loss appraisals and pressure from students' parents was positively related to burnout, pressure from colleagues was inversely related to threat appraisals and burnout. The findings suggest that striving for perfection and perceived pressure from colleagues do not contribute to stress and burnout in teachers, whereas negative reactions to imperfection and perceived pressure from students and students' parents may be contributing factors.     

Intolerance to ambient odors at an early stage of pregnancy

Adverse reactions to ambient odorous and pungent substances in daily activities among pregnant women who are half-way through pregnancy, and changes in odor perception at predominantly an early stage of pregnancy motivated the present study of odor intolerance at an early pregnancy stage. Ninety-five women averaging gestational week 11 and 102 non-pregnant women were compared with the Chemical Sensitivity Scale for Sensory Hyperreactivity (CSS-SHR). General environmental intolerance was assessed with items from the Noise Sensitivity Scale that are analogous to the CSS-SHR ("NSS-SHR"). Pregnant women were found to have higher scores on the CSS-SHR, but not on the "NSS-SHR". This suggests an odor intolerance that affects pregnant women's daily activities, which appears not to be due to a general environmental intolerance. The effect size of pregnancy on CSS-SHR score is larger in the present study of early pregnancy than in the previous study of women half-way through pregnancy.     

Perceptions of self and other in the prisoner's dilemma: outcome bias and evidential reasoning

In the prisoner's dilemma, self-interest clashes with collective interest. The way players resolve this conflict affects how others view them. Cooperators are seen as more moral than defectors, and, when there is no information about the other player's choice, cooperators and defectors are seen as equally competent. However, players who are defected against are seen as less competent, especially if they themselves cooperated (Experiments 1 and 2). Similarly, cooperators see themselves as more moral, but not as less competent, than defectors do (Experiments 3). Independent of concerns about reputation and self-image maintenance, evidential reasoning contributes to cooperative behavior. Players who project their own attitudes onto others are more likely to cooperate (Experiments 3). Compared with classic game theory, a theory of reputational concerns and evidential reasoning is better equipped to explain empirical patterns of choice behavior in social dilemmas.