I first began posting on this thread because certain 'God proofs/arguments' was being thrown around that seemed to rely on faulty assumptions and poor logic - i didnt set out to disprove a God!
WOBBLE: The nature of God - first off, when i use 'God' i use it in the sence of Einstein (as do many in science): I would for example say "So God made the big bang and then..." when you want to communicate is: "I dont have any idea of why this is so and i happily admit that, but here we are so lets begin to study its properties and see where we end". There is nothing else in it :-). So i read your question as why mathematics is true - I think the underlying question is if it is possible to imagine a universe where different matematical truths were truths than in ours, perhaps an universe where modus ponens where not true, or where DD's argument was entirely logical. Its a deep question, you may wish to read up on Tarski (mathematican around Gödels time) for some interesting truths about the nature of 'Truth' that will really boil your noodle.
JUSTHUMAN14, QUIETLYLEAVING: The problem here is a lot of things are mixed together, so i will only talk about evolution and the 'intelligent designer' here.
It is clear that evolution could have gone any number of ways; for example (if i remember correctly) mammals are only here because a virus spliced itself with reptilian DNA so the imune system could be suppressed instead of attacking the embryos. So exactly what specific species are here today is totally random and chaotic in the sence that very small perturbation of initial conditions would lead to a completely different ecosystem. it is impossible to know if that process was guided if God wanted to be subtle about it (which seem to be the case).
Nevertheless, i think an important question to ask is why stop there? If we have made one scientific theory 'guided', why not others? How about 'guided' gravity, where it seems like its just physical laws at work (like in the case of evolution), but God is there, 'guiding' it all to make sure it turns out just the way he want it. Or 'guided' quantum mechanics, quantum mechanics appear to be totally random, but what if all decoherence phenomena are really guided by god so they turn out just the way he wants them to turn out?
If i began to write long books about guided gravity, i would have a pretty strong case.
The problems we attribute to dark matter/energy (95% of the universe is made of dark matter/dark energy. It has never been observed, we just think its there because otherwise gravity makes no sence) is just Gods guiding hand and work, and all the problems with singularies in black holes could be an argument that it required Gods guiding hand to set things straight.
But nobody does that, and i think the reason are twofold: a) Evolution is in conflict with a litteral reading of genesis and thus have a large 'tradition' of denial around it and b) it would sound pretty silly.