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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

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 INFINITY POWER Posts: 117 Registered: 11/1/11
Re: This Is a Failed *PROOF* that AD never produces a New Digit Sequence!
Posted: Jan 1, 2013 3:56 AM

On Jan 1, 6:42 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
> On 30 Dez. 2012, 23:31, George Greene <gree...@email.unc.edu> wrote:
>

> > 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.

>
> But if you use a list of all finite sequences s(n) (of every finite
> length n) then there is always a finite sequence s(n) that is
> identical to the initial sequence d(n) of the diagonal. And as the
> diagonal can only be investigated up to any finite sequence, comparing
> s(n) with d(n), it is clear that Cantor's argument shows only one side
> of the medal, namely there is no sequence s(n) that is identical to
> d(n) for every n. The other side is that, by construction of the list,
> there is for every n and every d(n) an s(n) = d(n) in the list.

Right! This is VERY TRIVIAL PROOF and points [3] and [4] are TRIVIALLY
CORRECT!

segment = finite sequence of digits

[3] every segment of every finite size can be listed.

[4] every SEQUENCE of segments can be listed

by induction, a SEQUENCE of SEQUENCE OF DIGITS
is a SEQUENCE of DIGITS!

Notice George just goes off on Tangents about definitions and ignores the
topic.

AND ACTUALLY CALCULATE AN ANTI-DIAGONAL FOR ONCE

SO YOU CAN SEE HOW STUPID THEY (YOU) ARE!

******CHALLENGE TO LECTURER GEORGE GREENE*******

LIST
R1= 0.314159265358979323 ...
R2= 0.2718281828459045235360 ...
R3= 0.333333333333333333 ...
R4= 0.888888888888888888888888 ...
R5= 0.0123456789012345678901234 ...
R6= 0.14142135623730950488 ...
....

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> ... >
....

What is missing? <in segment notation>

*****************************

George I've 10 times the ESSAYS ARE INFINITE

You said IN THIS THREAD I didn't DEFINE THE TERMS

SO I DID AGAIN! And you ignored it!

STACK OF ESSAYS
_
_
_
_
_
_
_

WRITTEN ON LOBACHAVESKIAN PAPER!

<SENTENCE 1> <SENTENCE 2> <SENTENCE 3> .....

CHANGE ALL THE WORDS YOU WANT!

YOU CANNOT COME UP WITH ONE SINGLE NEW SENTENCE!

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