A god is a cosmic designer-creator. Atheism says the number of gods is 0. But it is hard to defeat the minimal thesis that some possible universe is actualized by some possible god. Monotheists say the number of gods is 1. Yet no degree of perfection can be coherently assigned to any unique god. Lewis says the number of gods is at least the second beth number. Yet polytheists cannot defend an arbitrary plural number of gods. An alternative is that, (...) for every ordinal, there is a god whose perfection is proportional to it. The n -th god actualizes the best universe(s) in the n -th level of an axiological hierarchy of possible universes. Despite its unorthodoxy, ordinal polytheism has many metaphysically attractive features and merits more serious study. (shrink)

Can an omnipotent being create a stone too heavy for him to lift? If not, he is not omnipotent. But if so, he is not omnipotent either, since there is something he cannot lift. Hence there can be no omnipotent being. J.L. Cowan's recent reformulation of this paradox of omnipotence has been sharpened through a number of objections and clarifications, and, in its final form, constitutes a significant problem for the analysis of the concept of an omnipotent agent. I will (...) develop fragments of two systems in which the problem can be defined more exactly, and try to indicate some formal guidelines within which constructive steps towards a solution may be possible. I will argue that the paradox shows the need for a special kind of restriction on omnipotence that can be distinguished from some related restrictions. (shrink)

It is customary to dismiss such queries as ‘Can God create a being he cannot control?’ and ‘Can God create a knot he cannot untie?’ with the comment that such questions in fact fail to specify a task for God to perform. The reason given is that omnipotence is included in the idea of God, with the alleged result that such expressions as ‘a being God cannot control’ and ‘a knot God cannot untie’ contain contradictions. J.L. Cowan has argued that (...) this conventional response is mistaken, and subsequently expanded upon this contention in reply to some of its critics. I shall try to show that Cowan's defense of the coherence of expressions like these is mistaken, and with it his conclusion that since an omnipotent God clearly cannot perform such tasks the concept of omnipotence is self-contradictory.Cowan has no quarrel with one assumption of the customary reply. If the specification of a task is self-contradictory, he agrees that the inability of God to perform it is no blemish on his omnipotence. (shrink)