On Mon, Mar 05, 2007 at 04:31:23PM +0100, Bruno Marchal wrote: > > I will try. I will, by the same token, answer Mohsen question here: > > > > > Mohsen: > > I don't know if in the hypothesis of simulation, the conflict of > > Countable and Uncountable has been considered. > >
... > > In particular, for Mohsen's question, the conflict between countable > and uncountable appears to be an unavoidable conflict between first and > third person points of view. Bruno's answer is right, but not necessarily the easiest to understand. A very simple way of putting it is to consider sampling a random bitstream. Every time a bit is sampled, the Multiverse branches with the observed bit being 0 or 1 depending on your branch. If you were to continue for an infinite amount of time, each observer will have observed a real number. However after any finite amount of time, all the observers have are rational approximations to real numbers. Just so in our real world. You can either think of each of us as sampling multiple random bitstream, or alternatively weaving together all of the data streaming into our senses into a single bitstream. Its mathematically equivalent, of course. All of our physical measurements are rational approximations, and are continually refined as we continue our measurements. Cheers -- ---------------------------------------------------------------------------- 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 -~----------~----~----~----~------~----~------~--~---

