Can we prove God does not exist?

It's a trite old maxim of folk logic that you cannot prove a negative. It's also a staple of religious apologetics to argue that belief in God need not be subject to methodological inquiry and verified evidentially. Combined, these two fallacies form a powerful weapon of perpetual ignorance among the faithful. Atheists themselves are fond of saying that atheism is a "lack of belief in gods", since that clears them of any sort of burden of disproof. Personally, while I think that atheism is at least in part a "lack of belief in gods", I think atheists who take the "weak" stance are to an extent selling themselves short. There are good reasons to say we can prove that God does not exist. How should we go about this whole God thing? First up to the plate is the contentious old question of whether the existence of God is a scientific question. I'd say that it depends on how one defines "God". If you simply mean some nebulous panthei