Russell Standish wrote: > On Mon, Dec 11, 2006 at 03:26:59PM -0800, William wrote: >>> If the universe is computationallu simulable, then any universal >>> Turing machine will do for a "higher hand". In which case, the >>> information needed is simply the shortest possible program for >>> simulating the universe, the length of which by definition is the >>> information content of the universe. >> What I meant to compare is 2 situations (I've taken an SAS doing the >> simulations for now although i do not think it is required): >> >> 1) just our universe A consisting of minimal information >> 2) An interested SAS in another universe wants to simulate some >> universes; amongst which is also universe A, ours. >> >> Now we live in universe A; but the question we can ask ourselves is if >> we live in 1) or 2). (Although one can argue there is no actual >> difference). >> >> Nevertheless, my proposition is that we live in 1; since 2 does exist >> but is less probable than 1. >> >> information in 1 = inf(A) >> information in 2 = inf(simulation_A) + inf(SAS) + inf(possible other >> stuff) = inf(A) + inf(SAS) + inf(possible other stuff) > inf(A) >> > > You're still missing the point. If you sum over all SASes and other > computing devices capable of simulating universe A, the probability of > being in a simulation of A is identical to simply being in universe A. > > This is actually a theorem of information theory, believe it or not!
I wasn't aware that there was any accepted way of assigning a probability to "being in a universe A". Can you point to a source for the proof of this theorem? Brent Meeker --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "Everything List" group. To post to this group, send email to everything-list@googlegroups.com 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 -~----------~----~----~----~------~----~------~--~---