Russel,
Can you point me to any references? I am curious to hear why the
universality goes away, and what "crucially depends" means, et cetera.
-Abram Demski
On Tue, Nov 25, 2008 at 5:44 AM, Russell Standish <lists.domain.name.hidden> wrote:
>
> On Mon, Nov 24, 2008 at 11:52:55AM -0500, Abram Demski wrote:
>>
>> As I said, I'm also interested in the notion of probability. I
>> disagree with Solomonoff's universal distribution
>> (http://en.wikipedia.org/wiki/Ray_Solomonoff), because it assumes that
>> the universe is computable. I cannot say whether the universe we
>> actually live in is computable or not; however, I argue that,
>> regardless, an uncomputable universe is at least conceivable, even if
>> it has a low credibility. So, a universal probability distribution
>> should include that possibility.
>>
>
> Solomonoff-Levin distributions can be found for non computable
> universes (ie for non Turing complete observers). However, the notion
> of universality disappears, and the actual probability distribution
> obtained critically depends on the actual interpretation of data chosen.
>
> --
>
> ----------------------------------------------------------------------------
> A/Prof Russell Standish Phone 0425 253119 (mobile)
> Mathematics
> UNSW SYDNEY 2052 hpcoder.domain.name.hidden
> Australia http://www.hpcoders.com.au
> ----------------------------------------------------------------------------
>
> >
>
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Received on Tue Nov 25 2008 - 16:59:33 PST