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Topic: This Is *PROOF* that AD never produces a New Digit Sequence!
Replies: 12   Last Post: Jan 2, 2013 11:38 AM

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: This Is a Failed *PROOF* that AD never produces a New Digit Sequence!
Posted: Dec 29, 2012 10:15 PM

In article
Graham Cooper <grahamcooper7@gmail.com> wrote:

> On Dec 30, 9:31 am, Virgil <vir...@ligriv.com> wrote:
> > In article
> >  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.
--

Date Subject Author
12/29/12 Graham Cooper
12/29/12 Virgil
12/29/12 Graham Cooper
12/29/12 Virgil
12/29/12 Graham Cooper
12/30/12 Virgil
12/30/12 INFINITY POWER
12/30/12 Virgil
12/30/12 Graham Cooper
1/1/13 INFINITY POWER
1/1/13 Shmuel (Seymour J.) Metz
1/2/13 Graham Cooper