What do we know? Would you, say, and despite the recent proof of Fermat's Last Theorem, refuse to rule out the possibility that at some point, someone somewhere will be able to stand up and say "Hey, I just realised that you can find two perfect cubes that sum to make a third"?
It is possible, in a proven mathematical theorem, to have sure and certain knowledge in some ways about the future. The question is whether or not this particular thing is one of them. If you are going to continue with the argument "I don't know and no-one else does either" the argument loses any meaning it had, because evidently the actual topic in question no longer matters.
Why, specifically, do the mathematical arguments presented have no meaning to you here? Mathematical arguments need a mathematical refutation. If there is one, I would be interested to hear it and along the way we would all learn something.