Ngl yesterday at the airport I had >1% credence of "AI takeover is happening" for half an hour
@niplav I've had this feeling at least two times, but not for an entire half-hour! (I can't recall credences, but the plausibility was just emotionally salient/urgent to me.)
@niplav Anyway, um… I have question for you. 👉👈
I want to ask an AI (via system/user message) to use subscript probabilities (or another non-clumsy in-line way to do it), but I'm not sure what the semiotically-optimal option is.
- Confidence interval? Idk how to write those, or how avoid subtle noob-mistakes.
- Or maybe point-estimates are fine? In percentages or odds? Log-odds?? Or maybe "share likelihood ratios, not posterior beliefs"? Hartleys then??
@rime I think point estimates are totally fine, and hard to mess up.
I still go with percentage-space most of the time because my beliefs aren't *that* strong in most cases.
And likelihood ratios would be used if you're updating a proposition
based on some evidence (where you need *both*)—seeing E updates H by 2 shannon (base-2 supremacy, sorry :-D)
I now wonder whether notation is useful for the update case…
(started at niplav.site/subscripts.html#Share_Likelihood_Ratios_not_Beliefs)
@rime CIs work if your belief is over some real-valued quantity out there in the world. If it's a probability on a binary event (will X/won't X) I *think* a CI is not necessary—at least nobody has been able to come up with a good argument why a probability distribution over belief on binary propositions doesn't just "integrate out". (Infrabayesian shenanigans aside.)
When I want to still have a CI on a binary proposition I guess noting
parameters for a Beta-distribution would work?
