Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: $Revision: 1.6.2.16 $; site ISM780.UUCP Path: utzoo!watmath!clyde!burl!ulysses!unc!mcnc!decvax!cca!ISM780!marv From: marv@ISM780.UUCP Newsgroups: net.math Subject: Re: Re: Sc--nce Attack (really on minds Message-ID: <30200002@ISM780.UUCP> Date: Mon, 28-Oct-85 18:46:00 EST Article-I.D.: ISM780.30200002 Posted: Mon Oct 28 18:46:00 1985 Date-Received: Sat, 16-Nov-85 21:09:18 EST References: <10810@ucbvax.UUCP> Lines: 34 Nf-ID: #R:ucbvax:-1081000:ISM780:30200002:000:1650 Nf-From: ISM780!marv Oct 28 18:46:00 1985 >Not at all! I see two problems with your line of reasoning. First, your >assertion that a finite number of neurons --> a finite state machine. This >assumes that neurons have discrete states; however when you consider the >continuous, analog nature of activation thresholds, this argument breaks >down. >A second, *major* flaw is the notion that humans must rely on their brains >alone for 'storage'. Ever since the invention of writing, this hasn't been >true; literature can be viewed as a Turing machine tape for humans! >I stand by my claim that minds and Turing machines are equivalent. >-- Jim Lewis > U.C. Berkeley I claim that a finite sized human (not all information processing is done in the brain) *does* imply a finite state machine machine. I think that human information processing involves chemical reactions (a finite number atoms) and energy tranformations (a finite number of photons) and therfore only a finite (albeit very large) number of states. And surely you don't mean to imply that the amount of information stored in a finite sized set of librarys is infinite. I conclude that the human processing is *not* equivalent to a Turning machine. Humans are clearly physically realizable. Turning machines being infinite are not physically realizable. Therefore, I think a more reasonable question to ask is: can a physically realizable machine be built that can mimic human information processing? I am not aware of any laws of physics that disallows the construction of such a machine. It seams to me this is an open question to be answered (hopfully) in the future. Marv Rubinstein -- Interactive Systems.