Helen De Cruz

The idea that formal geometry derives from intuitive notions of space has appeared in many guises, most notably in Kant’s argument from geometry. Kant claimed that an a priori knowledge of spatial relationships both allows and constrains formal geometry: it serves as the actual source of our cognition of principles of geometry and as a basis for its further cultural development. The development of non-Euclidean geometries, however, seemed to definitely undermine the idea that there is some privileged relationship between our spatial intuitions and mathematical theory. This paper’s aim is to look at this longstanding philosophical issue through the lens of cognitive science. Drawing on recent evidence from cognitive ethology, developmental psychology, neuroscience and anthropology, I argue for an enhanced, more informed version of the argument from geometry: humans share with other species evolved, innate intuitions of space which serve as a vital precondition for geometry as a formal science.

Religious disagreement is an emerging topic of interest in social epistemology. Little is known about how philosophers react to religious disagreements in a professional context, or how they think one should respond to disagreement. This paper presents results of an empirical study on religious disagreement among philosophers. Results indicate that personal religious beliefs, philosophical training, and recent changes in religious outlook have a significant impact on philosophers' assessments of religious disagreement. They regard peer disagreement about religion as common, and most surveyed participants assume one should accord weight to the other's opinion. Theists and agnostics are less likely to assume they are in a better epistemic position than their interlocutors about religious questions compared with atheists, but this pattern only holds for participants who are not philosophers of religion. Continental philosophers think religious beliefs are more like preferences than analytic philosophers, who regard religious beliefs as fact-like.