I have seen it argued that Goedel's Incompleteness Theorems have implications to existence of God. Arguments for existence of God run mostly along the lines: "Because of Goedel's Theorem, truth transcends human understanding, and therefore there is God". Arguments against God go like this: "Because of Goedel's Theorem, omniscience is impossible, hence all-knowing God can not exist".
Personally, I fail to see sense in such reasonings (of course, this does not necessarily says 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 is someone could clarify if:
there exists legitimate applications to existence of God, or theology in general?
any significant philosopher or theologian ever expressed views of this kind?
Such arguments are indeed ... shall we say "hopeless", to be polite. For a demolition job, take a look at Torkel Franzén's Gödel's Theorem: An Incomplete Guide to Its Use and Abuse.Tweet