Re: Computing Randomness

From: Alastair Malcolm <amalcolm.domain.name.hidden>
Date: Fri, 6 Apr 2001 16:05:46 +0100

Russell,

I'd be interested if you could just briefly let me know what the arguments
are in favour of Juergen's FAST algorithm implying a *concrete* universe (in
apparent contrast to the one implied by the ensemble of descriptions obeying
an (arguably) uniform distribution).

Thanks,

Alastair

----- Original Message -----
From: Russell Standish <R.Standish.domain.name.hidden>
> I appreciate Juergen's view. In essence he is assuming a nonuniform
> distribution on the ensemble of descriptions, as though the
> ensemble of descriptions are produced by the FAST algorithm. This is
> perhaps the same as assuming a concrete universe.
>
> In my approach (which didn't have this technical nicety), the ensemble
> of descriptions obeyed a uniform distribution.
>
> The ultimate observed distribution is obtained by equivalencing
> distibutions according to the observer's interpretation. If the
> observer is a universal Turing machine, the Universal Prior results.
Received on Fri Apr 06 2001 - 08:13:21 PDT