Abstract
In this paper, I argue that the supposition of divine omnipotence entails a contradiction: omnipotence both must and must not be intrinsic to God. Hence, traditional theism must be rejected. To begin, I separate out some theoretical distinctions needed to inform the discussion. I then advance two different arguments for the conclusion that omnipotence must be intrinsic to God; these utilise the notions of essence and aseity. Next, I argue that some necessary conditions on being omnipotent are extrinsic, and that this means omnipotence cannot be intrinsic to God. I consider three different ways of resolving this conflict, but contend that each is unsuccessful. Before concluding, I explain why the type of strategy used to resolve the traditional paradoxes of omnipotence cannot be successfully employed against the paradox presented here