The Law Of Contradiction

This is my first Topic on these forums, so please be kind. =)Many of the arguments against religion/faith/creation that I see on this site seem to be implicitly recognizing the Law Of Contradiction. In other words they are trying to show that there is a contradiction inherent in the belief in God or in the bible, and therefore that God does not exist or the bible is not true. I am curious if that is in fact where these arguments stem from, and if so, does everyone accept this Law as a fundamental truth.Here is a simple explanation of the Law Of Contradiction (or Noncontradiction as it is sometimes called).
Law of noncontradiction - WikipediaPossibly the "Is It Science?" forum.Edited by Ender, : Forum suggestion.

It seems to me that they ARE trying to disprove God using the Law of Contradiction. In fact if it is accepted that the Law of Contradiction is true, then it is in reality the only way TO disprove God (considering that the only way to disprove something outside of time/space, i.e. without evidence, is to prove that it is self-contradicting).

That would be true except that there are no religions based on Flying Purple Elephants, nor are their any people that tell you that if you don't believe in their version of FPE (for example FPEs with jet packs or FPEs with wings) you will burn in a very hot hell.The belief in a God has had a much greater impact on history and is so much a part of out current life/politics that it can't be simply ignored, even by non-believers.

I didn't think that my simple (or maybe not so simple) question would expand into such a debate!I do think that my original intention for posting this forum has been a little lost. I don't think that I want to go back to it, but I do want to know one thing:Can the following statment be proven false:
God exists.If not, why not? If it can, can the Law of Contradiction do it?