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 -~----------~----~----~----~------~----~------~--~---