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:
>
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> > 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 BULLSHIT

You 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