Yes you're right about what I meant. Though I think you're incorrect about the idea that any axiom could exist within a simulated universe. We have to get back

Yes you're right about what I meant. Though I think you're incorrect about the idea that any axiom could exist within a simulated universe. We have to get back to the relationship between consciousness ... does an axiom even exist if it is not fathomed by some conscious being? If you believe that it does not exist absent an observer then it is certainly possible that particular axioms simply cannot exist within the universe -- they cannot be fathomed because time itself might slow down to infinity when such things are fathomed.