Stephen Colbert recently raised an important theological and philosophical question, namely,”Could God create a yacht so big that he could not fill it with bitches?” This sort of question, obviously enough, parallels some of the classic questions about the nature of God’s omnipotence, such as “can God create a rock that He cannot lift?”
The specific question of whether or not God can create such a yacht would seem to involve considering the specifics of the scenario, such as the size limits of yachts (would a ship of a certain size be too big to be classified as a yacht?) and bitches as well as what would count as being full of bitches (does this mean that the bitches are comfortably occupying the vessel or stacked and stuffed in all the spaces?). However, these complications can be set aside (along with the offensive term “bitches”) in favor of a more general sort of question: can God create a container that He cannot fill?
On the face of it, this would seem to create what appears to be a paradox. If God is omnipotent, then it would seem to follow that He could create a container (such as a yacht) of any size-even one that would be so big that He could not fill it (even given an infinite supply of created bitches). However, His omnipotence would also seem to entail that He could fill any container, no matter how big. After all, He could just create enough things to fill the container.
One potential way out of this problem is to play games with the notion of infinity. Presumably the largest container that God could create would be infinite in size. Presumably the largest number and volume of things (such as bitches) that God could create would also be infinite. Leibniz, in his Theodicy, writes “and infinity, that is to say, the accumulation of an infinite number of substances, is, properly speaking, not a whole any more than the infinite number itself, whereof one cannot say whether it is even or uneven.” Stealing from Leibniz, perhaps it could be said that when talking about an infinite yacht and an infinite number of bitches it would not be possible to say whether it is full or not. Of course, this seems vaguely (or not so vaguely) unsatisfying.
Perhaps a better approach would be to look at the matter a bit differently. The problem arises from taking the ability to create something so big that He cannot fill it as a positive ability of God. As such, if God did not have that ability, then He would be lacking. But, of course, if he could not fill the object, then he would also be lacking.
However, the idea of an ability to create an object so big that He cannot fill it seems to involve an absurdity. After all, if God could create a hollow object of X size and Y interior volume, then it would seem that He could simply create an object marginally smaller than X with a volume of Y. Thus, the question is actually asking “could God create an object and not be able to create a smaller object (or objects) that would fill the larger object” and the answer would seem to be “no.” After all, objects have volumes and sizes, but so big that it cannot be filled does not seem to be a legitimate property that God could just give to an object. Rather, this property is a relational property between the object and all other things that exist or could exist. Thus, the supposition that God can create objects entails that He can fill any object He creates.