The histories of religions are notable for stories of innovators – people who feel compelled to rebel against the religious beliefs and practices of their time, who come up with novel religious ideas, and, whether intentionally or not, start new religious movements. Theories about the nature of religion need to give an account of religious innovation that accommodates these stories, and most claim that they do, even if only in retrospect. The baffling discovery is that the same historical characters are used to exemplify quite incompatible theories of innovation.