God is usually referred to in infinite terms. God is all-powerful, which can be interpreted as infinately powerful as no matter how much power he has you could always just postulate a little more. Infinity solves this problem. Infinity is cool like that but it does often create as many problems as it solves.
I was recently musing on the nature of time and the fact that time has a kind of scale that can be observed by the speed of perception of any given mind. For instance, a fly has a much faster perception speed than a human does. That is why they are so hard to hit with anything. From the fly's perspective, the rolled up newspaper that you are swatting with as fast as you can, seems to be moving very slowly. No matter how fast its perception speed though, the fly is still limited by its physical construction and the laws of physics. A human with the perception speed of a fly could not say change direction as fast a fly due to limitations in musculature and the drawbacks of vastly greater mass.
Time moves faster for the fly than it does for you, in the sense that if you were to start two timers on a swatting attempt, one counting at a rate based on the perception speed of the fly and one based on your preception speed, they would record very different amounts of time. This presumes that we would have a method of objectively determining perception speeds, of course. This is not to say that time is infact passing at different rates for you and the fly, it is only percieved to be doing so. Time can actually pass at different rates for two individuals but that requires outlandish relative speeds to accomplish. Relativity aside; the percpetion of the rate of time passing is very real for minds. If you were to encounter a being who percieved at a much slower rate than you, you would appear to be operating in fast forward from their point of view. If they were speaking to you, it would sound like it had been slowed down.
So what has all of this got to do with God?
Well, assuming God has a perception speed of infinity. You could phrase this as "God thinks infinity fast". If this were so, God could never percieve outside of a single moment. He would experience an infinity of time (from his point of view) in a picosecond. He could never percieve a second instant as he would have had to traverse an infinity of time in order to arrive there (perceptually speaking). Traversing an infinity is logically impossible.
So either God does not think infinitely fast, or he cannot logically exist(in the all-powerful sense). The interesting thing about infinity is that when you move down to any figure or amount or magnitude less than infinity, you are dropping down an infinity. In other words, if God does not think infinitely fast, then God thinks infinitely slower than the speed he might be concieved of thinking at. Take that Anselm! :P