We show that the cohomology table of any coherent sheaf on projective space is a convergent—but possibly infinite—sum of positive real multiples of the cohomology tables of what we call supernatural sheaves. Introduction Let K be a field, and let F be a coherent sheaf on P = P K . The cohomology table of F is the collection of numbers γ(F) = (γi,d) with γi,d = dimH (P,F(d)), which we think of a...

Does evolutionary theory have implications about the existence of supernatural entities? This question concerns the logical relationships that hold between the theory of evolution and different bits of metaphysics. There is a distinct question that I also want to address; it is epistemological in character. Does the evidence we have for evolutionary theory also provide evidence concerning the e...

The cognitive study of religion has been highly influenced by P. Boyer's (2001, 2003) claim that supernatural beings are conceptualized as persons with counterintuitive properties. The present study tests the generality of this claim by exploring how different supernatural beings are conceptualized by the same individual and how different individuals conceptualize the same supernatural beings. ...

Supernatural belief presents an explanatory challenge to evolutionary theorists-it is both costly and prevalent. One influential functional explanation claims that the imagined threat of supernatural punishment can suppress selfishness and enhance cooperation. Specifically, morally concerned supreme deities or 'moralizing high gods' have been argued to reduce free-riding in large social groups,...

Throughout centuries, many interpretations of miraculous healings have been offered by philosophers, theologians, physicians and psychologists. Different approaches to miracles originate from the differences in understanding of causative factors, concepts of nature and the relationship between God and nature. Despite many skeptical arguments, a vast majority of people (approximately 70%) in mod...

Cooperation towards public goods relies on credible threats of punishment to deter cheats. However, punishing is costly, so it remains unclear who incurred the costs of enforcement in our evolutionary past. Theoretical work suggests that human cooperation may be promoted if people believe in supernatural punishment for moral transgressions. This theory is supported by new work in cognitive psyc...

Why is it so easy to ignore the ecological and economic crises of the Anthropocene? This article unveils some of the religious biases whose covert operation facilitates the repression or rejection of warnings about the consequences of extreme climate change and excessive capitalist consumption. The evolved defaults that are most relevant for our purposes here have to do with mental credulity to...