On Some Properties of Humanly Known and Humanly Knowable Mathematics

We argue that the set of humanly known mathematical truths (at any given moment in human history) is finite and so recursive. But if so, then given various fundamental results in mathematical logic and the theory of computation (such as Craig’s in J Symb Log 18(1): 30–32(1953) theorem), the set of humanly known mathematical truths is axiomatizable. Furthermore, given Godel’s (Monash Math Phys 38: 173–198, 1931) First Incompleteness Theorem, then (at any given moment in human history) humanly known mathematics must be either inconsistent or incomplete. Moreover, since humanly known mathematics is axiomatizable, it can be the output of a Turing machine. We then argue that any given mathematical claim that we could possibly know could be the output of a Turing machine, at least in principle. So the Lucas-Penrose (Lucas in Philosophy 36:112–127, 1961; Penrose, in The Emperor’s new mind. Oxford University Press, Oxford (1994)) argument cannot be sound.     

Environmental Correlates of Adolescent’ Materialism: Interpersonal Role Models,Media Exposure,and Family Socio-economic Status

Journal of Child and Family Studies - The present study examined how adolescents’ materialism relates to interpersonal materialism role models (i.e., mothers’, fathers’,...     

Responses to the AAR‐Teagle White Paper: “The Religious Studies Major in a Post‐9/11 World”

In October 2008 The American Academy of Religion published the findings of an eighteen month study (conducted with funding from the Teagle Foundation) on “The Religious Studies Major in a Post–9/11World: New Challenges, New Opportunities.” Re‐published here, this AAR‐Teagle White Paper provides the opportunity for four respondents to raise issues and questions about the teaching of religion in their own institutional contexts. First, Jane Webster describes how the White Paper's “five characteristics of the religion major” find expression in her biblical literature course. Then James Buckley suggests some of the general level teaching issues provoked by the study and analyzes how well the White Paper aligns with how the teaching of religion is conceived in his Catholic university context. Tim Jensen draws comparisons between the White Paper and the higher education structures and goals from his university context in Denmark, raising questions about what motivates students to major in religious studies, the “utility” of a religious studies major, and whether students' religious and spiritual concerns ought to enter the classroom. And finally Stacey Floyd‐Thomas finds surprising similarities between the state of the religion major and the various crises facing contemporary North American theological education.     

Athletes' inclination to play through pain: a coping perspective

Previous studies have shown how social networks lead athletes to accept pain as a "part of the game," which generates pressure on athletes to continue competing despite being in pain. Little is known, however, about the potential coping strategies that are related to pain behavior in sport. This study of 205 combat athletes examined whether pain coping strategies, including distraction from pain, praying, reinterpreting pain sensations, ignoring pain, and pain catastrophizing, are related to athletes' inclination to play through pain. Results revealed that pain catastrophizing led athletes to reduce their physical involvement in their sport activity. Of particular interest was the moderating effect of ignoring pain such that ignoring pain significantly attenuated the negative effect of pain intensity on athletes' inclination to play through pain. Few studies have tested and supported the contribution of pain coping to the prediction of behavior in real sport situations. By identifying which coping strategies athletes could use to maintain their physical involvement despite being in (sometimes intense) pain, the current study makes an important contribution for tailoring pain management programs for this at-risk population.     

The Metamathematics of Putnam’s Model-Theoretic Arguments

Putnam famously attempted to use model theory to draw metaphysical conclusions. His Skolemisation argument sought to show metaphysical realists that their favourite theories have countable models. His permutation argument sought to show that they have permuted models. His constructivisation argument sought to show that any empirical evidence is compatible with the Axiom of Constructibility. Here, I examine the metamathematics of all three model-theoretic arguments, and I argue against Bays (2001, 2007) that Putnam is largely immune to metamathematical challenges.     

Moorean responses to skepticism: a defense

Few philosophers believe that G. E. Moore’s notorious proof of an external world can give us justification to believe that skepticism about perceptual beliefs is false. The most prominent explanation of what is wrong with Moore’s proof—as well as some structurally similar anti-skeptical arguments—centers on conservatism: roughly, the view that someone can acquire a justified belief that p on the basis of E only if he has p-independent justification to believe that all of the skeptical hypotheses that undermine the support lent by E to p are false. In this paper I argue that conservatism does not make trouble for Moore’s proof. I do this by setting up a dilemma concerning the notion of “justification to believe” that figures in conservatism. On one understanding of justification to believe, conservatism is subject to obvious counterexamples. On another understanding of justification to believe, conservatism is consistent with Moore’s “proof” conferring justification upon its conclusion. Since these two understandings exhaust the logical space, the conservative indictment of Mooreanism fails.     

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.