Date: Dec 29, 2012 10:29 PM Author: Graham Cooper Subject: Re: This Is a Failed *PROOF* that AD never produces a New Digit Sequence! On Dec 30, 1:15 pm, Virgil <vir...@ligriv.com> wrote:

> In article

> <c5b60ef5-2f84-4a6d-811c-373c2a3b1...@vb8g2000pbb.googlegroups.com>,

> Graham Cooper <grahamcoop...@gmail.com> wrote:

>

>

>

>

>

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>

>

>

> > 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

>

> On the contrary, I am merely trying to dig myself out of yours.

>

If you disagree with a numbered point then which one?

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)