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 <[EMAIL PROTECTED]> 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 [EMAIL PROTECTED] > Australia http://www.hpcoders.com.au > ---------------------------------------------------------------------------- > > > > --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to [EMAIL PROTECTED] To unsubscribe from this group, send email to [EMAIL PROTECTED] For more options, visit this group at http://groups.google.com/group/everything-list?hl=en -~----------~----~----~----~------~----~------~--~---