(I’m going to abrasively emphasize the conjunctions more, because I feel they’re being glossed over)
IF the truths of our universe are completely mathematically and axiomatically bound, THEN any proof derived within it might have a chance of upsetting a given axiom given the either incomplete or inconsistent nature of mathematics as declared by Gödel, the ramifications of which COULD be dire in such a universe.
I’m NOT saying our universe IS mathematically bound. I’m also NOT saying that a newly discovered universal axiom WILL change the structure of such a universe.
I actually believe that maths merely describes our reality at varying scales.
I am presenting an interesting idea that for some reason is being taken quite literally, and now am having to get defensive about it as if it’s a deeply-held belief of mine…
(I’m going to abrasively emphasize the conjunctions more, because I feel they’re being glossed over)
IF the truths of our universe are completely mathematically and axiomatically bound, THEN any proof derived within it might have a chance of upsetting a given axiom given the either incomplete or inconsistent nature of mathematics as declared by Gödel, the ramifications of which COULD be dire in such a universe.
I’m NOT saying our universe IS mathematically bound. I’m also NOT saying that a newly discovered universal axiom WILL change the structure of such a universe.
I actually believe that maths merely describes our reality at varying scales.
I am presenting an interesting idea that for some reason is being taken quite literally, and now am having to get defensive about it as if it’s a deeply-held belief of mine…
Yes, we understood what you were saying.
But your IF is followed by a nonsensical statement.
It’s a precondition that can’t be true.
Ah okay. Why not though? I thought mathematics as a whole suffers from a lack of proof of some of its axioms, which if disproven could spell trouble.