Houshalter comments on 0 And 1 Are Not Probabilities - Less Wrong
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A real mathematician got in a debate with EY over this post, and made some really good points: https://np.reddit.com/r/badmathematics/comments/2bazyc/0_and_1_are_not_probabilities_any_more_than/cj43y8k
Maybe this doesn't stand up mathematically, but I really like the intuition of log odds instead of probability. And this post explained it quite well. And the main point that you shouldn't believe in absolute certainties is still true. An ideal AI using probability theory would probably use log odds, and not have a 0 or 1.