Okay, true. I was thinking about it backwards; absolute certainty does, of course, lead to an inability to update (which is why we don't use 1 and 0 as probabilities).
Out of curiousity, which proposition do you have higher confidence in: "No being fitting the standard definitions of God exists" or "My left arm is not paralyzed"?
I don't know: these probabilities are not technically defined, so I'm unable to compute them, and too low for my intuition to compare.
Followup to: The Strangest Thing An AI Could Tell You
Brain damage patients with anosognosia are incapable of considering, noticing, admitting, or realizing even after being argued with, that their left arm, left leg, or left side of the body, is paralyzed. Again I'll quote Yvain's summary:
A brief search didn't turn up a base-rate frequency in the population for left-arm paralysis with anosognosia, but let's say the base rate is 1 in 10,000,000 individuals (so around 670 individuals worldwide).
Supposing this to be the prior, what is your estimated probability that your left arm is currently paralyzed?
Added: This interests me because it seems to be a special case of the same general issue discussed in The Modesty Argument and Robin's reply Sleepy Fools - when pathological minds roughly similar to yours update based on fabricated evidence to conclude they are not pathological, under what circumstances can you update on different-seeming evidence to conclude that you are not pathological?