> However it doesn't explain how an alien race will look at one of our mathematical proofs that we have proven True and be able to prove that it is False.
Where is this coming from? Is this relevant to what I wrote?
Well, sure, because the term "math" already presupposes a lot. There are two possibilities, here:
1) Math describes reality, so human math and alien math are the same thing, just different perspectives of reality and so, ultimately compatible.
2) Math is a language that humans use to describe their perceptions of reality to other humans. Perception is not reality, but a kind of isomorphism or pared-down heuristic, driven as it is by the evolutionary imperative to streamline for survival. Therefore a language that appears to be universal will only make sense to entities that employ the same perceptual framework for understanding, which is to say, human beings.
I agree that something that is "true" in human math will not be directly "false" in an alien math. 2+2 really does equal 4. The question is whether 2+2=4 is relevant or even understandable to an alien.
Where is this coming from? Is this relevant to what I wrote?