Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.3 4.3bsd-beta 6/6/85; site ucbvax.BERKELEY.EDU Path: utzoo!watmath!clyde!burl!ulysses!ucbvax!brahms!gsmith From: gsmith@brahms.BERKELEY.EDU (Gene Ward Smith) Newsgroups: net.ai,net.philosophy Subject: Re: A halting problem: a meaty response Message-ID: <11590@ucbvax.BERKELEY.EDU> Date: Wed, 29-Jan-86 03:04:39 EST Article-I.D.: ucbvax.11590 Posted: Wed Jan 29 03:04:39 1986 Date-Received: Thu, 30-Jan-86 05:45:17 EST References: <2175@aecom.UUCP> <14551@rochester.UUCP> Sender: usenet@ucbvax.BERKELEY.EDU Reply-To: gsmith@brahms.UUCP (Gene Ward Smith) Distribution: net Organization: University of California, Berkeley Lines: 10 Xref: watmath net.ai:3234 net.philosophy:3981 >I don't quite understand this note, so I'll try to rephrase it. Nobody *knows* >whether Peano arithmetic is consistent, but everyone (well, almost everyone :-) >*believes* it is. If one day someone proves it is not, then everyone will, in >fact, *know* it is inconsistent. The same comment applies to the higher and Actually, I know the Peano axioms are correct, because the integers are a model for them. So there! Gene Smith