Larks comments on David Deutsch on How To Think About The Future - Less Wrong
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Comments (197)
Why can't it happen that you have so little and/or such weak evidence, that the amount of precision you should have is none at all?
Well, your prior gives you a unique value, and bayes theorem is a function, so it gives you a unique value for every input.
So the claim is that you have arbitrary precision priors. What are they, and where are they stored?
Sorry, I haven't been very clear. A perfect bayesian agent would have a unique real number to represent it's level of belief in every hypothesis.
The betting-offer system I described about can force people (and force any hypothetical agent) to assign unique values.
Of course, an actual person won't be capable of this level of precision or coherence.
Yes, but actually computing that function is computationally intractable in all but the simplest examples.