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Topic: Matheology � 263
Replies: 57   Last Post: May 17, 2013 8:52 PM

 Messages: [ Previous | Next ]
 Graham Cooper Posts: 4,495 Registered: 5/20/10
Re: Matheology § 263
Posted: May 14, 2013 12:22 AM

On May 14, 1:36 pm, Virgil <vir...@ligriv.com> wrote:
> In article
>  Graham Cooper <grahamcoop...@gmail.com> wrote:
>

> > On May 14, 11:09 am, Virgil <vir...@ligriv.com> wrote:
> > > In article
> > > Graham Cooper <grahamcoop...@gmail.com> wrote:

>
> > > > such as Virgil's favorite number!
>
> > > > 0.44444454444444444445444444545544444444445444444444444...
>
> > > That denotes, as yet, any of a range of real numbers, not any specific
> > > one, and whichever ones in that range Graham finds his favorite, none of
> > > them are anything like my favorite.

>
> > Real numbers of that form are all you need to show
>
> I don't need to show any any such numbers.
>
>
>

> > | POINTS |  >  | INFINITE LIST |
>
> > between these 2 bars!
>
> > --->|----|<----
>
> > Here's another one
>
> > 0.4444444444445444444444454444445444444444454444445444444...
>
> > Remember your hero CANTOR showed you how to CONSTRUCT that number!
>
> > You post 20 times a day the Algorithm (sic) to construct that real!
>
> The algorithm I regularly post, and Cantor first used, is for binary
> sequences not decimals.
>
> Neither type of "antidiagonal" is defined without an infinite list of
> sequences of the the appropriate type from which to build it, which
> lists you have not provided, so no anti-diagonal need exist until you do.
>

Such algorithms have been posted 100 times.

Though You have no clue what Cantor's Missing Set function actually
does.

SET1 = { 1 , 3 , 6 }
SET2 = { 1 , 5 , 11 }
SET3 = { 2 , 4 , 6, 8 , 10 , ... }
SET4 = { 4 , 5, 6, 7, 8 }

[VIRGIL]

Given an arbitrary function f from |N to the powerset of |N (set of
all subsets of |N), the set S = {n in |N | ~ n in f(n)} is a subset of
|N not in the image of f, and thus is a proper "Cantor's missing
set".

You learnt this magic formula off by heart and you have no idea how to
apply it!

and the Missing Set from the above enumeration is.... ?

Herc
--

Date Subject Author
5/10/13 Virgil
5/13/13 Virgil
5/13/13 Graham Cooper
5/13/13 Virgil
5/13/13 Graham Cooper
5/13/13 Virgil
5/14/13 Graham Cooper
5/14/13 Virgil
5/14/13 Graham Cooper
5/14/13 Virgil
5/14/13 Graham Cooper
5/14/13 Virgil
5/14/13 Graham Cooper
5/14/13 Virgil
5/14/13 Graham Cooper
5/14/13 Virgil
5/15/13 Graham Cooper
5/15/13 Virgil
5/15/13 Graham Cooper
5/15/13 Virgil
5/15/13 Graham Cooper
5/15/13 Virgil
5/15/13 Graham Cooper
5/16/13 Virgil
5/16/13 Graham Cooper
5/16/13 Virgil
5/16/13 Graham Cooper
5/16/13 Virgil
5/16/13 Graham Cooper
5/16/13 Virgil
5/16/13 Graham Cooper
5/16/13 Virgil
5/16/13 Graham Cooper
5/16/13 Virgil
5/16/13 Graham Cooper
5/16/13 Virgil
5/16/13 Graham Cooper
5/16/13 Scott Berg
5/16/13 Virgil
5/16/13 Graham Cooper
5/16/13 Virgil
5/16/13 Graham Cooper
5/16/13 Virgil
5/16/13 Virgil
5/16/13 Graham Cooper
5/17/13 Virgil
5/17/13 Graham Cooper
5/17/13 Virgil
5/17/13 Graham Cooper
5/17/13 Virgil
5/17/13 Graham Cooper
5/17/13 Virgil
5/17/13 Graham Cooper
5/14/13 Graham Cooper
5/14/13 Virgil