I often wonder about God, if he exists, and the nature of him if he does exist.
It would seem to be that it would be impossible for God to have an infinite set of powers.
1) It would seem to me that finite beings such as human beings can theoretically create more powerful beings i.e. genetic engineering and robotics. Can an infinite being create a more powerful being? I would think not. Thus an infinite being would have an element of finiteness.
2) Can God change the laws of mathematics? To put it in a simpler way, can God change 1+1 = 2 to 1+1=5? It would seem to me that even if God were to make it so that if one is added to one, five of something appears, to God 1+1 would still equal 2. It would seem to me that mathematics is a framework that God if he exists is beholden to.
It would seem to me that the idea of God is one that approaches infinity but is not pure infinity.