What do mathematicians mean when they use terms such as ‘deep’, ‘elegant’, and ‘beautiful’? By applying empirical methods developed by social psychologists, we demonstrate that mathematicians' appraisals of proofs vary on four dimensions: aesthetics, intricacy, utility, and precision. We pay particular attention to mathematical beauty and show that, contrary to the classical view, beauty and simplicity are almost entirely unrelated in mathematics.

Experimental research suggests that people draw a moral distinction between bad outcomes brought about as a means versus a side effect (or byproduct). Such findings have informed multiple psychological and philosophical debates about moral cognition, including its computational structure, its sensitivity to the famous Doctrine of Double Effect, its reliability, and its status as a universal and innate mental module akin to universal grammar. But some studies have failed to replicate the means/byproduct effect especially in the absence of other factors, (...) such as personal contact. So we aimed to determine how robust the means/byproduct effect is by conducting a meta-analysis of both published and unpublished studies (k = 101; 24,058 participants). We found that while there is an overall small difference between moral judgments of means and byproducts (standardized mean difference = 0.87, 95% CI 0.67 – 1.06; standardized mean change = 0.57, 95% CI 0.44 – 0.69; log odds ratio = 1.59, 95% CI 1.15 – 2.02), the mean effect size is primarily moderated by whether the outcome is brought about by personal contact, which typically involves the use of personal force. (shrink)

Fundamental beliefs about free will and moral responsibility are often thought to shape our ability to have healthy relationships with others and ourselves. Emotional reactions have also been shown to have an important and pervasive impact on judgments and behaviors. Recent research suggests that emotional reactions play a prominent role in judgments about free will, influencing judgments about determinism’s relation to free will and moral responsibility. However, the extent to which affect influences these judgments is unclear. We conducted a metaanalysis (...) to estimate the impact of affect. Our meta-analysis indicates that beliefs in free will are largely robust to emotional reactions. (shrink)

Nearly a decade of research has provided overwhelming evidence that there is no the folk intuition about many fundamental philosophical questions, just as there is no the gender of human beings or...

Five experiments suggested that everyday free will and moral responsibility judgments about some hypothetical thought examples differed from free will and moral responsibility judgments about the actual world. Experiment 1 (N = 106) showed that free will intuitions about the actual world measured by the FAD-Plus poorly predicted free will intuitions about a hypothetical person performing a determined action (r = .13). Experiments 2–5 replicated this result and found the relations between actual free will judgments and free will judgments about (...) hypothetical determined or fated actions (rs = .22–.35) were much smaller than the differences between them (ηp2 = .2–.55). These results put some pressure on theoretical accounts of everyday intuitions about freedom and moral responsibility. (shrink)

The past ten years have seen multiple attempts to estimate the relation between the global personality trait extraversion and compatibilist free will judgments. Here, we contribute to that line of research by conducting a meta-analysis of 17 published and eight unpublished studies (N = 2,811) estimating that relation. Overall, the mean effect size was modest but remarkably robust across materials, locations, and labs (z =.19, 95% CI.15-.24, p <.001). No significant publication bias was detected in the studies (t (23) = (...) 1.88, p =.07). While there was no significant heterogeneity in the studies (Q (24) = 34.42, p =.08, I2 = 26.05), a moderator analysis suggested that the effect is strongest in cases that contain highly affective actions (e.g., murder) (z =.22, 95% CI.17-.28, p <.001) and weakest in cases that contain actions with low affect (e.g., asking whether free will is compatible with determinism) (z =.09, 95% CI -.05-.23, p =.22). The meta-analysis provides additional evidence that extraversion is related to compatibilist free will judgments and helps to identify opportunities to discover boundary conditions and more proximal causal mechanisms for the relation. The results of the meta-analysis also have implications for informed decision making. (shrink)

This article examines whether people share the Gettier intuition (viz. that someone who has a true justified belief that p may nonetheless fail to know that p) in 24 sites, located in 23 countries (counting Hong-Kong as a distinct country) and across 17 languages. We also consider the possible influence of gender and personality on this intuition with a very large sample size. Finally, we examine whether the Gettier intuition varies across people as a function of their disposition to engage (...) in “reflective” thinking. (shrink)

Many philosophers regard the persistence of philosophical disputes as symptomatic of overly ambitious, ill-founded intellectual projects. There are indeed strong reasons to believe that persistent disputes in philosophy (and more generally in the discourse at large) are pointless. We call this the pessimistic view of the nature of philosophical disputes. In order to respond to the pessimistic view, we articulate the supporting reasons and provide a precise formulation in terms of the idea that the best explanation of persistent disputes entails (...) that they are pointless. We then show how to answer the pessimistic argument. Taking a well-known mathematical controversy as our paradigm example, we argue that some persistent disputes reflect substantive disagreements at the “meta-analytic” level, i.e., disagreements about the best way, among quite different candidates, to understand the topic at issue, and the best associated cluster of analytic truths one should accept concerning it. Moreover, our concrete example shows that such meta-analytic disagreements can in principle be settled and yield a genuine theoretical (as opposed to merely pragmatic) breakthrough. We conclude optimistically that persistent disputes can be an important means of fostering epistemic progress. (shrink)