@Protoman2050,
Protoman, You are specifying that God is restricted by logical possibilities.
Irrationality cannot construe with God nor therefore God's will, just as God's will must be morally equitable, and rational. However, being that God is omnipotent I don't see how its possible to have a most rational action out of possibilities for a given cause. God would not have a cause. God is not a conclusion nor can it be discerned by any premises to make it real because anything
real is a figment of something that can't be perfect.
So not only can God not create square circles, but God can't create, and doesn't really have a purpose when defined as 'perfection'. So God is not real.
But one can say that God only exists through an unbiased take on it, being that rationality itself must not equate to its being, (my opinion, so if it stinks tell me). So either God is everything or God is nothing, or God is singular so as to not allow itself to have relative perspectives, or perceptions to be compared to. So God can be a product of introspect.
But what is the use anymore of trying to define what makes God, when God is imply whatever you want it to be because it can only exist fundamentally, or rather, God does not essentially exist.