Sounds plausible that self-aware systems can manage this. I'd like to see this done as a formal system though, as I have a natural mistrust of handwaving arguments!
On Thu, May 24, 2007 at 10:32:29AM -0700, Mohsen Ravanbakhsh wrote: > Thanks for your patience! , I know that my arguments are somehow > raw and immature in your view, but I'm just at the beginning. > > *S1 can simulate S2, but S1 has no reason to believe whatever S2 says. > There is no problem. > **Hofstadter "strange loop" are more related to arithmetical > self-reference or general fixed point of recursive operator* > > OK then it, becomes my own idea! > Suppose S1 and S2 are the same systems, and both KNOW that the other one is > a similar system. Then both have the reason to believe in each others > statements, with the improvement that the new system is COMPLETE. We've not > exploited any more powerful system to overcome the incompleteness in our > system. > I think this is a great achievement! > It's actually like this: YOU believe in ME. THEY give > you a godelian statement (You theoretically can not prove this > statement) you give it to ME and then see that I can neither prove it > nor disprove it, so you tell > THEM that their statement is true. > But the wonder is in what we do just by ourselves. We have a THEORY OF MIND. > You actually do not need to ask me about the truth of that statement, you > just simulate me and that's why I can see the a godelian statement is at > last > true. But in the logical sense ONE system wont be able to overcome the > incompleteness, > so I might conclude: > I'M NOT ONE LOGICAL SYSTEM! > This is how we might rich a theory of self. A loopy(!) and multi(!) self. > > > > * > > *Mohsen Ravanbakhsh > > > -- ---------------------------------------------------------------------------- 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 -~----------~----~----~----~------~----~------~--~---

