Alicorn comments on You can't believe in Bayes - Less Wrong

4 Post author: PhilGoetz 09 June 2009 06:03PM

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Comment author: Alicorn 09 June 2009 07:22:08PM 3 points [-]

"I believe it's possible that I'll die in a car accident" is a statement of uncertainty in the event "I'll die in a car accident"

Nitpick: No, it's not. Things that are necessary are all also possible. For instance, it is possible that 2+2=4, because it is not impossible that 2+2=4. It's not as strong a statement as someone who believed that death by car accident was inevitable could make, but it's not an expression of uncertainty all by itself unless the speaker is doing something with tone of voice ("Sure, I guess I think it's possible that I could die in a car accident...")

Comment author: Vladimir_Nesov 09 June 2009 07:34:45PM *  -1 points [-]

That's not what I was talking about, interpreting "It's possible that X will happen" as "the event X is non-empty" is as wrong as interpreting "I believe X will happen" as "negation of even X is empty". Uncertainty is just lack of certainty, "it's possible" expresses probability lower than that of "it's probable", way below "it's certain". See also the references from the Possibility article on the wiki.