I definitely agree that after we become omniscient it won’t matter where we started...but going from there to priors ‘are useless’ seems like a stretch. Like, shoes will be useless once my feet are replaced with hover engines, but I still own them now.
But this isn’t all there is to it. @Alex. also, take a set of rationalists with different priors. Let this set of priors be S. Let the standard deviation of S after i trials be d_i.
d_{i+1} ⇐ d_i for all i: i is in N.
The more experiments are conducted the greater the precision of the probabilities of the rationalists.
I definitely agree that after we become omniscient it won’t matter where we started...but going from there to priors ‘are useless’ seems like a stretch. Like, shoes will be useless once my feet are replaced with hover engines, but I still own them now.
But this isn’t all there is to it.
@Alex. also, take a set of rationalists with different priors. Let this set of priors be S.
Let the standard deviation of S after i trials be d_i.
d_{i+1} ⇐ d_i for all i: i is in N. The more experiments are conducted the greater the precision of the probabilities of the rationalists.