I read something really interesting today. Check it out some quotes.
"The truths of mathematics. . .were established by God and entirely depend on Him, as much, as do all the rest of His creatures. Actually, it would be to speak of God as a Jupiter or Saturn and to subject Him to the Styx and to the Fates, to say that these truths are independent of Him. . .You will be told that if God established these truth He would be able to change them, as a king does his laws; to which it is necessary to reply that this is correct. . . In general we can be quite certain that God can do whatever we are able to understand, but not that He cannot do what we are unable to understand. For it would be presumptuous to think that our imagination extends as far as His power."
--Descartes
"Suppose, then, that God's omnipotence enables Him to do even what is logically impossible and that He actually creates a stone too heavy for Him to lift. The critic of the notion of divine omnipotence is quite mistaken if he thinks that this supposition plays into his hands. What the critic wishes to claim, of course, is that when God has created a stone which He cannot lift He is then faced with a task beyond His ability and is therefore seen to be limited in power. But this claim is not justified.
For why should God not be able to perform the task in question? To be sure, it is a task - the task of lifting a stone which He cannot lift - whose description is self-contradictory. But if God is supposed capable of performing one task whose description is self-contradictory - that of creating the problematic stone in the first place - why should He not be supposed capable of performing another - that of lifting the stone? After all, is there any greater trick in performing two logically impossible tasks than there is in performing one?
If an omnipotent being can do what is logically impossible, then he can not onlt create situtations which He cannot handle but also, since he is not bound by the limits of consistency, he can handle situations which he cannot handle."
--Harry G. Frankfurt; 'The Logic of Omnipotence'
