Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!utgpu!water!watmath!clyde!rutgers!husc6!think!ames!ucbcad!ucbvax!BRAHMS.BERKELEY.EDU!obnoxio From: obnoxio@BRAHMS.BERKELEY.EDU.UUCP Newsgroups: sci.philosophy.tech Subject: Re: Complexity and Philosophy Message-ID: <8705291501.AA12310@brahms.Berkeley.EDU> Date: Fri, 29-May-87 11:01:58 EDT Article-I.D.: brahms.8705291501.AA12310 Posted: Fri May 29 11:01:58 1987 Date-Received: Sat, 30-May-87 11:27:11 EDT References: <19071@ucbvax.BERKELEY.EDU> Sender: daemon@ucbvax.BERKELEY.EDU Reply-To: obnoxio@brahms.berkeley.edu (Obnoxious Math Grad Student) Distribution: world Organization: Brahms Gang Posting Central Lines: 24 Summary: Tom's razor In article <19071@ucbvax.BERKELEY.EDU>, tedrick@ernie (Tom Tedrick) writes: >I believe the philosophical consequences of complexity theory are >enormous and that the field is wide open for someone with the >ambition to pursue it. Any suggestions? All I can think of is some strictly AI "anthropic principle" constraints on how mind "works". Thus, our mind presumably follows some polynomial time algorithm when doing various tasks. If the ideal version of these tasks involves an NP-hard problem, then we would expect any P-based model to inevitably err, much as in real life. (Assuming P!=NP, of course.) Now, beyond this--I'm stymied. An example: even though physics might be boiled down to automata theory some day, I fail to see how "time" would mean anything to such low-level calculations. If wave-function collapse or what have you is an exponentially hard, or even non-recursive computa- tion--that seems perfectly reasonable to me. We need never notice, be- cause of renormalization. Or are you proposing a computational complexity implementation of Occam's razor? ucbvax!brahms!weemba Matthew P Wiener/Brahms Gang/Berkeley CA 94720