 Broad adduces a version of what has come to be known as The Knowledge Argument in favour of an Emergentist position with respect to the place of consciousness in nature. He asks us to assume that there is a mathematical archangel. The archangel’s mathematical and logical capability is unlimited; in addition he is gifted with the capacity to perceive “the microscopic structure of atoms as easily as we can perceive hay-stacks”. Now would there be any limit to the archangel’s knowledge of the world? Broad’s answer is Yes.