Only if your goalpost of what "mathematics" is endlessly shifting. To prove values of BB(50000) you're probably going to need some pretty wacky axioms in your system. With BB(any large number) that's just going to be unfeasible to justify that the system isn't tailored to prove that fact, just short of adding axiom of "BB(x) = y".
Only if your goalpost of what "mathematics" is endlessly shifting. To prove values of BB(50000) you're probably going to need some pretty wacky axioms in your system. With BB(any large number) that's just going to be unfeasible to justify that the system isn't tailored to prove that fact, just short of adding axiom of "BB(x) = y".