```Date: Dec 29, 2012 7:12 PM
Author: Graham Cooper
Subject: Re: This Is a Failed *PROOF* that AD never produces a New Digit Sequence!

On Dec 30, 9:31 am, Virgil <vir...@ligriv.com> wrote:> In article> <d95b3181-5372-47ca-8cc9-f2d6ee9bb...@po6g2000pbb.googlegroups.com>,>  Graham Cooper <grahamcoop...@gmail.com> wrote:>>>>>>>>>> > AD METHOD (binary version)> >   Choose the number 0.a_1a_2a_3...., where a_i = 1 if the i-th> >   number in your list had zero in its i-position, a_i = 0 otherwise.>> > LIST> >   R1= < <314><15><926><535><8979><323> ... >> >   R2= < <27><18281828><459045><235360> ... >> >   R3= < <333><333><333><333><333><333> ... >> >   R4= < <888888888888888888888><8><88> ... >> >   R5= < <0123456789><0123456789><01234 ... >> >   R6= < <1><414><21356><2373095><0488> ... >> > ....>> > By breaking each infinite expansion into arbitrary finite length> > segments>> > [3]  The anti-Diagonal never produces a unique segment> >       (all finite segments are computable)>> > [4]  The anti-Diagonal never produces a unique sequence> >        of segments (all segment sequences are computable)>> It easily produces a sequence which does not already exist in any> countable seqeunce of sequences since it can be made to differ in at> least one place with each sequence, the place depending on the listed> position of that sequence.>>>> > It's just like the infinite STACK of ESSAYS!  They contain every> > possible sentence in every possible order!  By changing one word at a> > time it's Still IMPOSSIBLE to construct a New Essay!>> But your essays are all of finite length but each is a string of words> taken from an infinite dictionary, which is not at all the same thing.>> Even so any infinite essay will differ from a of you essays, so you> analogy fails.>NO VIRGIL!You are  MAKING UP BULLSHITYou MADE UP the essays are finite length.You MADE UP the number of words was infinite.TRY AGAIN!don't go for the easy cop-out!HERC
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