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)
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!