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Topic: The MYTH of TRANSFINITE SIZED SETS!
Replies: 2   Last Post: Jan 12, 2013 4:41 PM

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 Graham Cooper Posts: 4,495 Registered: 5/20/10
Re: The MYTH of TRANSFINITE SIZED SETS!
Posted: Jan 12, 2013 4:41 PM

On Jan 13, 12:46 am, Curlytop <pvstownsend.zyx....@ntlworld.com>
wrote:
> Graham Cooper set the following eddies spiralling through the space-time
> continuum:
>

> > By the Pigeon Hole principle, this is MAGNITUDES GREATER
>
> But don't forget, there's an infinite number of pigeonholes. All the reals
> that can't be found in finite-numbered pigeonholes, are there in
> infinite-numbered pigeonholes.
>
> All that's needed is to apply some *order* to the complete list of reals, so
> that given any real, its position in the list can be found.
>

There are

# AntiDiagonals #Permutations
9x9x...x9x9 x nxn-1x...x2x1

calculations of digit segments.

MINUS

10^n possible digit segments.

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

So the Exhaustive AntiDiagonal Method covers every one!

While it's true that each row is missing from the EAM Set

at digit N, that row appears in the EAM Set at digit N-1.

As N->oo the EAM Set is just every digit combination (including the
present rows!)

Herc

Date Subject Author
1/12/13 Graham Cooper
1/12/13 Prai Jei
1/12/13 Graham Cooper