One question that stretched theologians during the middle ages was; Could God envision or make a four sided triangle or a three sided square or some other atrocity. At first the problem seems foolish, but it really is an instance of a more fundamental problem: Is God bound and limited by the laws of reason and logic or not?
I've had this conversation on JWD before but I was never satisfied with it. ( here )
God is either omnipotent or not, there is no middle ground. Can he really do anything he pleases, logic and reason notwithstanding? It is inconceivable to me that anyone, even God - can make 1+1=3.
What do you think? Could God create a rock so heavy He could not lift it?