On Tue, Jun 01, 1999 at 10:07:05PM -0700, [EMAIL PROTECTED] wrote:
> I don't follow where the dependence on SSSA comes from.  This is the
> assumption that each observer-moment should be considered as a random
> selection from all observer-moments in the universe (broadly defined).
> 
> Your example would seem to be classical Bayesian reasoning.  A priori
> you don't know whether the sixth digit of pi is a 9, so you give that
> 1/10 probability.  After seeing Mathematica's output, you estimate the
> probability that it would say it is a 9 when the actual digit is not a 9
> (i.e. make a mistake), which is very small.  You feed that into the Bayes
> formula and end up with a strong probability that the sixth digit is 9.
> 
> Are you saying that Bayesian analysis depends on the Strong SSA?  Could
> you elaborate on this?

Bayesian analysis in general does not depend on the Strong SSA, but any
Bayesian analysis where you try to compute P(X | I observe Y) does because
you need the Strong SSA to compute P(I observe Y | X) and P(I observe Y |
not X).

My example is one of classical Bayesian reasoning, but it is slightly
different from the way you put it, because I don't have direct knowledge
that Mathematica outputs a 9 for the sixth digit of Pi. I do know that I
am reading "N[Pi]=3.14159", and Strong SSA is needed to derive the
probability that I am reading "N[Pi]=3.14159" if Pi doesn't begin with
3.14159. 

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