I have seen it argued that Gödel's Incompleteness Theorems have implications regarding the existence of God. Arguments for the existence of God run mostly along the lines: "Because of Gödel's Theorem, truth transcends human understanding, and therefore there is God". Arguments against God go like this: "Because of Gödel's Theorem, omniscience is impossible, hence an all-knowing God cannot exist".
Personally, I fail to see sense in such reasoning (of course, this does not necessarily say much, because I could be missing something). Given that nowadays people hold all sorts of irrational views, I can't say I am surprised --- but I would be if a serious and respectable person supported such arguments. In fact, I only saw such arguments either in the process of being rebutted, or expressed by people whom I find it very hard to take seriously.
I would be very grateful if someone could respond to these questions:
Are there legitimate applications of Gödel's theorems to the existence of God, or theology in general?
Do any significant philosophers or theologians ever express views of this kind?