X-Message-Number: 9275 From: Ettinger <> Date: Fri, 13 Mar 1998 12:41:28 EST Subject: Church-Turing etc Some recent posts have renewed aspects of the old argument about simulations or emulations, and whether we could be considered finite Turing machines; and, in this context, whether a universal Turing machine could emulate any computer. Different questions are mixed up here, including that of accuracy of simulation--which is NOT the main issue. In the most extreme Artificial Intelligence view, a Turing tape machine could emulate a person, and therefore could be a person. The extreme info folk take it as a PREMISE (which they nevertheless call a conclusion) that only the information matters and isomorphism is everything. Donaldson's recent #9272 includes a reminder that Turing machines are SEQUENTIAL, hence not well suited for recursive functions, for which parallel processors are much better. This helps to focus attention on the MEANING of the Church-Turing thesis. IN WHAT SENSE can a Turing machine emulate any computer? Only in the sense that it can, in principle, eventually arrive at the same results, or print out the same answers. For example, it might be able to describe your brain state at a particular moment in the future, if fed the appropriate initial data. The extreme info folk (apparently including David Deutsch) claim, in effect, that not only is a copy of you also you, but a DESCRIPTION of you (or of you and your activities) is you. Again, this is just their article of faith, based on plausibility and perhaps preference, not a conclusion rigorously derived from generally accepted premises. Any substantial discussion of Church-Turing would be a long one. A great deal has been written, e.g. by Hofstadter in his well known works. There are subtleties and complexities that do not lend themselves to brief discussion. Yet the bottom line, as far as I can see, is that the CT thesis, even if correct, only guarantees that the Turing Tape can calculate any calculable number, or collection or sequence of numbers. Are you just a collection of numbers, or symbols representing numbers? Is the map identical with the territory, for all purposes? Does a moving tape have feeling? How do you know, since we do not yet know the physiology/anatomy of feeling in animals? Donaldson also included a reminder that SIMULTANEITY may play a role in the inner life. It is not only possible, but probable, that feeling and understanding depend on MORE THAN ONE EVENT or condition happening or existing at the same time inside the brain--maybe something akin to a standing wave, or an interference effect between waves. Since the Turing tape is linear sequential, it would then be ruled out as an emulation of a person--of almost anything physical, in fact, even a hydrogen atom (even if it could be programmed with quantum effects). All right, none of this has much practical importance at the moment, and I've wasted my time again, and yours. Or maybe straightening out our mental kinks does have a degree of importance. Robert Ettinger Cryonics Institute Immortalist Society http://www.cryonics.org Rate This Message: http://www.cryonet.org/cgi-bin/rate.cgi?msg=9275