wedrifid comments on Don't Get Offended - LessWrong
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Not quite true. Say I have a d100 and I have two hypotheses---it is either fair or it is biased to roll '87' twice as often as any other number. I can already guess that my observation from rolling the die once will move me in the direction of believing the die is fair (ie. I can reliably guess that I will roll any number except 87). However, if I do happen to roll an 87 then I will update towards 'biased' to a greater degree.
It isn't the direction of the expected evidence that is conserved. It's the expectation (the directions of all the possibilities multiplied by their respective degrees).