Path: utzoo!utgpu!news-server.csri.toronto.edu!rpi!zaphod.mps.ohio-state.edu!swrinde!elroy.jpl.nasa.gov!decwrl!stanford.edu!agate!agate!phr From: phr@lightning.Berkeley.EDU (Paul Rubin) Newsgroups: comp.compression Subject: Re: Integer not expressable in less than 13 words: THE ANSWER Message-ID: Date: 20 Apr 91 09:47:30 GMT References: <1991Apr16.140125.17898@convex.com> <15869@smoke.brl.mil> <1991Apr18.210832.9918@shl.com> <16446.280f39ef@montagar.lonestar.org> Sender: root@agate.berkeley.edu (Charlie Root) Organization: ucb Lines: 8 In-Reply-To: davidc@montagar.lonestar.org's message of 19 Apr 91 18: 41:50 GMT Surely you all know the answer to this oldie. The originators of mathematical logic worried about it a lot. There is no answer! Or what would the following number be? ONE PLUS THE SMALLEST NUMBER NOT EXPRESSIBLE IN LESS THAN THIRTEEN WORDS Whatever it is, it is obviously expressible in < 13 words, giving a paradox.