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lukeprog comments on Calibration Test with database of 150,000+ questions - LessWrong
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Comments (31)
I'd prefer not to allow 0 and 1 as available credences. But if 0 remained as an option I would just interpret it as "very close to 0" and then keep using the app, though if a future version of the app showed me my Bayes score then the difference between what the app allows me to choose (0%) and what I'm interpreting 0 to mean ("very close to 0") could matter.
I think it's misleading to just drop in the statement that 0 and 1 are not probabilities.
There is a reasonable and arguably better definition of probabilities which excludes them, but it's not the standard one, and it also has costs -- for example probabilities are a useful tool in building models, and it is sometimes useful to use probabilities 0 and 1 in models.
(aside: it works as a kind of 'clickbait' in the original article title, and Eliezer doesn't actually make such a controversial statement in the post, so I'm not complaining about that)
Fair enough. I've edited my original comment.
(For posterity: the text for my original comment's first hyperlink originally read "0 and 1 are not probabilities".)
Perfect, thanks!