Hi Russell, ----- Original Message ----- From: "Russell Standish" <[EMAIL PROTECTED]> To: <[EMAIL PROTECTED]> Sent: Friday, May 25, 2007 12:14 AM Subject: Re: Overcoming Incompleteness
> > On Thu, May 24, 2007 at 11:53:59PM -0400, Stephen Paul King wrote: >> >> For me the question has always been how does one "overcome >> Incompleteness" when it is impossible for a simulated system to be >> identical >> to its simulator unless the two are one and the same. > > Is it though? If the simulated system is different from the original, > then indeed I would agree with you. > [SPK] It was the difference that i was trying to focus on... "Bisimulation" is, after all, a form of identity if exact. > In the case of human self-awareness, I thought it was implemented not > by simulation as such, but by decoupling the actual inputs and outputs > from the real world, and then feeding the scenario input into the > actual brain circuit, and examine the output _without_ actually moving > a muscle. It has something to do with the "mirror" neurons, and it > really is quite a neat trick (at least Dennett thinks so, and I tend > to agree). > [SPK] Ok, but that is it that is "generating" and "examining" the inputs and outputs? I am trying to frame this in software terms... > Not being into supernatural explanations, I think a perfectly > mechanical, or formal model should be able to capture this > ability. But how to do it without running into infinite regress is the > challenge. And if and when we have this formal model, we can then see > whether > this idea of solving incompleteness has any merit. I'm as sceptical as > anyone, but I do believe the case is more subtle than to be destroyed > by a couple of lines of handwaving argument :). > [SPK] We avoid infinite regress by having only finite computational resourses. X can only generate a simulation of itself with a resolution whose upper bound is determined by the resourses that X has available within the span of of the simulation of X. Remember, X is not a static entity... Kindest regards, Stephen --~--~---------~--~----~------------~-------~--~----~ 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 -~----------~----~----~----~------~----~------~--~---