I don't know where you got that from. We are talking about the idea of God, not dragons or monsters. Even then, my point concerns the value of human experience that gives weight to the idea of God that dragons and 10-foot tall flying monster or whatever else you care to make up does not have.
The point is we're talking about the existence of a certain being. When you define an object or a being, that definition is either going to be logical or illogical.
I'm not talking about why it might make more sense for people to believe in God than to believe in dragons. I'm just talking about the logical nature of each creature. So, the point that human experience gives more weight to the idea of God than dragons is irrelevant here.
Logic is a tool for evaluating ideas and arguments that can be contained within logical / mathematical constructs.
Yes, exactly, and God is one of those ideas/arguments. Anyway, you didn't actually answer the question. I already agreed for the sake of this particular argument that logic has limits. The question then is why you think the idea of God would be outside those limits.
However, Nietzsche and other wisdom teachings, including those in the Bible are not mathematical equasions or logical arguments, but a type of art meant to be experienced.
What does this have to do with anything? Whether or not that's true, the fact remains that to be useful, a concept of God needs to be logical.