I think maybe there's different fundamental axioms, but I don't think they're 'God exists' and 'God does not exist'. Those are much higher concepts, built from more fundamental ideas. Gen-X's apparent lack of either of these axioms (not saying that's a bad thing, just can't think how else to word it) shows this.

Gen-X, are you sure that the number 10 is the foundation of all our mathematics? I would not agree, it's just that we have learnt to count using ten different symbols for numbers. I mean, hex is easy to work with if you're multiplying ar dividing by 16 or 8, just the same as decimal is with 10 or 5. Sorry to be picky, I can't help it.

Oh and the extra dimensions you made up - they are of course your idea, don't forget to mention that