Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.3 alpha 4/15/85; site kestrel.ARPA Path: utzoo!watmath!clyde!burl!ulysses!gamma!epsilon!zeta!sabre!petrus!bellcore!decvax!decwrl!glacier!kestrel!ladkin From: ladkin@kestrel.ARPA Newsgroups: net.ai,net.philosophy Subject: Re: A halting problem: a meaty response Message-ID: <4377@kestrel.ARPA> Date: Wed, 29-Jan-86 17:08:13 EST Article-I.D.: kestrel.4377 Posted: Wed Jan 29 17:08:13 1986 Date-Received: Sat, 1-Feb-86 02:05:19 EST References: <2175@aecom.UUCP> <14551@rochester.UUCP> <3978@kestrel.ARPA> <11590@ucbvax.BERKELEY.EDU> Distribution: net Organization: Kestrel Institute, Palo Alto, CA Lines: 10 Xref: watmath net.ai:3239 net.philosophy:4004 In article <11590@ucbvax.BERKELEY.EDU>, gsmith@brahms.BERKELEY.EDU (Gene Ward Smith) writes: > Actually, I know the Peano axioms are correct, because the integers are > a model for them. Gene, was this a serious comment? (I presume you mean the natural numbers, not the integers). If so, this is circular reasoning, (which, although logically sound, is epistemologically unhelpful). Peter Ladkin