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 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