"Can an all-powerful God create a mountain so massive that He himself cannot move it?" I'm stumped by that one. Anyone heard of a good answer to it?
It sounds like another linguistic problem. Perhaps its a "logical paradox."
I don't disagree with your argument. It is important to be able to identify bad science, logical fallacies, etc. Not that these will be convincing to your opponent. But it is important if you are debating in front of others who might be swayed to your viewpoint.
However, what I really meant to state was, there is a logical problem with the concept of "proof" in such debates. In fact, the minute you attempt to "prove" things, you leave the realm of science and enter the realm of the believers. As an atheist, I don't need to prove god doesn't exist. I'm comfortable with a high degree of probability that god doesn't exist. Should god turn up at my door, I might even change my mind. (Mormon proselytizers please stay away.)
The believers, however, are uncomfortable with probability. They have to have proof! In fact, god is a kind of metaphysical trick they use to escape from probability into eternity. They don't need facts, they go straight to revealed truth. Then, when you don't accept their proof, they want you to prove they are wrong. This, of course, you can't do. Then, when you can't do it, that becomes proof they are right. You can't prove this stuff, it is all based on belief. You can attack their logic, you can debate their science talking points ad infinitum, but you will never prove god does, or does not, exist.
Einstein said that "God does not play dice." Because a universe in which probability formed the basis of reality was unacceptable. It was a world in which god could not exist. Today, things have changed. With the advent of quantum mechanics, per Steven Hawking, "Thus it seems Einstein was doubly wrong when he said, God does not play dice. Not only does God definitely play dice, but He sometimes confuses us by throwing them where they can't be seen." It would seem that probability is the best evidence there is for the non existence of god.
"If god is all knowing, then certainty exists
But nothing is certain, therefore, god does not exist!" Skeptical Gadfly2000
Of course, I can't prove any of this.
For reference, you can read the lecture by Hawking at http://www.hawking.org.uk/lectures/dice.html