Date: Dec 30, 2012 8:05 PM
Author: Graham Cooper
Subject: Re: This Is a Failed *PROOF* that AD never produces a New Digit Sequence!
On Dec 31, 8:31 am, George Greene <gree...@email.unc.edu> wrote:
> On Dec 29, 10:29 pm, Graham Cooper <grahamcoop...@gmail.com> wrote:
> > If you disagree with a numbered point then which one?
> Everybody disagrees WITH POINT 4, DUMBASS. IT DOESN'T FOLLOW
> from anything. YOU CAN'T PROVE IT. We by contrast HAVE EASILY
> proved that since for EVERY n, the nth position of the diagonal
> DIFFERS from the nth R on the list AT Rn's nth position,
> THE ANTI-DIAGONAL *IS*NOT*ON* the list. If it WERE on, it would
> have to be on it *AT* some row n. But the anti-diagonal IS NOT
> on the list at row n because Rn DIFFERS from the anti-diagonal IN
> POSITION n.
> > 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
> >  The anti-Diagonal never produces a unique segment
> > (all finite segments are computable)
> >  The anti-Diagonal never produces a unique sequence
> > of segments (all segment sequences are computable)
> MOST of the *infinitely*-long segment sequences ARE NOT computable.
> The fact that all the FINITE ones are DOES NOT IMPLY that the infinite
> ones are also.
> The mystery is why you would think it would.
Point 4 inductively follows from point 3.
< <sub-segment> <sub-segment> <sub-segment> >
this sequence of segments.
You opposing argument is that some sequence of sentences cannot be
written down and placed on a stack.
INFINITE STACK OF INFINITE ESSAYS OF FINITE VOCABULARY
in order to be equivalent to a BASE-|VOCAB| List of infinite
SEGMENT <=> SENTENCE