If I say there's gold buried at certain coordinates, that's also true independent of whether I prove it. The point is that the quote is a heuristic that works because most of the by the time you hear that claim, most of the statistical work has been done, hidden in the premise in a way that skips your intuitions a bit (the kolgomoroff comolexity of my phrase is a lot higher than yours, even though they're of about the same length, even though the number of bits needed to verify each is about the same).
>that's also true independent of whether I prove it.
This is so different from my point that I'm not sure how it relates.
I am confident there is literal treasure near to where I live, because I've seen very convincing evidence of dredging from multiple sources. In my mind, it is proven. But, I'm not acting on that because I don't find it worthwhile.
On the other hand, if a stranger told me there was a police traffic stop in a particular direction, I'd probably take a detour - even if there was a complete lack of proof.
Proof doesn't guide my action at all - I don't require a burden of proof in order to act.
Burden of proof is a legal concept, not a philosophical one.
You're acting based on your priors and new evidence. You have a high prior for police stops existing in general, and a low one for people randomly lying about it, so a stranger saying there's one that way is compelling evidence to you. You have a high prior on the existence of treausure nearvy, but a low one of the existence of treasure worth the effort of finding, so me telling you you could get rich quick isn't compelling evidence to you.
I'm saying you're taking as if it were some sort of ontological model or normative rule of discourse, when really it's a verbalisation of a heuristic you've already admitted to using. You're using something like 'burden of proof' as an algorithm, even if you consciously reject it as a verbal tool.
This is nonsense that assumes an antagonistic purpose to a discussion, and not actually an attempt to reach a higher understanding.