How about, "If this expectation of mine is ever violated, I'll have to rebuild my world view from scratch anyway, discarding all major priors"? I'd say that's a valid reason to assign zero. Fudging it with an infinitesimal nonzero probability feels like cheating in that case. (All your eggs are in that basket.)
Anyway, mathematical falsehoods are internal contradictions in a mathematical system. So reliable evidence of mathematical falsehood means either confusion (probable), broken axioms in the system used (possible), or a break in your core logic (reload firmware and reboot brain :-).
How about, "If this expectation of mine is ever violated, I'll have to rebuild my world view from scratch anyway, discarding all major priors"? I'd say that's a valid reason to assign zero. Fudging it with an infinitesimal nonzero probability feels like cheating in that case. (All your eggs are in that basket.)
Anyway, mathematical falsehoods are internal contradictions in a mathematical system. So reliable evidence of mathematical falsehood means either confusion (probable), broken axioms in the system used (possible), or a break in your core logic (reload firmware and reboot brain :-).
Cheers -- perry