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Topic: Should LOGIC PROGRAMMERS worry about SETS BIGGER THAN INFINITY?
Replies: 3   Last Post: Dec 30, 2012 2:19 AM

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: Should LOGIC PROGRAMMERS worry about SETS BIGGER THAN INFINITY?
Posted: Dec 29, 2012 6:40 PM

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

> ALL OF SCI.MATH A RESOUNDING - 'YES'
>
> and 100 MEGABYTE of USELESS PROOFS TO GO WITH IT
>
> and GET CALLED A KRANK IF YOU POST AN ALTERNATIVE!
>
>
>
>
> L(x,y)
> +---------------->
> | 0. 2 3 4 5 6 7 ..
> | 0. 9 8 7 6 5 5 ..
> | 0. 1 2 3 1 2 3 ..
> | 0. 9 8 9 8 9 8 ..
> | 0. 6 5 6 5 6 5 ..
> | 0. 5 6 5 6 5 6 ..
> | ..
> v
>
> FLIP(d) = 6 IFF d<6
> FLIP(d) = 5 OTHERWISE
>
>
> Now apply your FLIP(d) function to the ENTIRE LIST
>
> T(x,y)
> +---------------->
> | 0. 6 6 6 6 5 5 ..
> | 0. 5 5 5 5 6 6 ..
> | 0. 6 6 6 6 6 6 ..
> | 0. 5 5 5 5 5 5 ..
> | 0. 5 6 5 6 5 6 ..
> | 0. 6 5 6 5 6 5 ..
> | ..
> v
>
> T(x,y)
> +---------------->
> | 0. 6 X X X X X ..
> | 0. X 5 X X X X ..
> | 0. X X 6 X X X ..
> | 0. X X X 5 X X ..
> | 0. X X X X 5 X ..
> | 0. X X X X X 5 ..
> | ..
> v
>
>
> OK NOW YOU WANT TO ISOLATE
> THAT PATH THROUGH T
>
> AND ONLY THAT PATH THROUGH T!
>
> ***************************************
>
> PERMUTING THE LIST
> AND TAKING THE ANTI-DIAGONAL
>
> IS *EQUIVALENT* TO
>
> SELECTING A PATH THROUGH
> THE TRANSPOSE LIST

EVERY "path" taking one AND ONLY ONE element from each row and column of
the T'd list and no two elements from any row or any column of the T'd
List will NOT be in the unT'd list.

So you have found at least countably many nonmembers of the original
list.
>
> ***************************************
>
> SAME THING!
>
> YET THERE IS NO MISSING REAL
> WHEN YOU DO IT MY WAY!

Curious, then, that there are so many of them for those who know how to
look for them.
--

Date Subject Author
12/29/12 Graham Cooper
12/29/12 Virgil
12/30/12 INFINITY POWER
12/30/12 Virgil