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Zack_M_Davis comments on Changing Emotions - Less Wrong
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Sometimes, even people who understand Bayesian reasoning use idiomatic phrases like "believe is true" as a convenient shorthand for "assign a high probability to"! I can see how that might be confusing!
Most of the beliefs of the "I wouldn't defend it publically" are neither >0.999 credence or <0.001 and it's worthwhile to mentally categories them differently.
Again, people sometimes use idiomatic English to describe subjective states of high confidence that do not literally correspond to probabilities greater than 0.999! (Why that specific threshold, anyway?)
You know, I take it back; I actually can't see how this might be confusing.