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

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Virgil

Posts: 8,833
Registered: 1/6/11
Re: Matheology � 263
Posted: May 14, 2013 4:43 AM
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In article
<fe808d30-0f12-4c95-8708-3d6053afe0b6@oy9g2000pbb.googlegroups.com>,
Graham Cooper <grahamcooper7@gmail.com> wrote:

> On May 14, 4:46 pm, Virgil <vir...@ligriv.com> wrote:
> > In article
> > <d6f681f1-613b-4e57-a336-5ab501a04...@wb17g2000pbc.googlegroups.com>,
> >  Graham Cooper <grahamcoop...@gmail.com> wrote:
> >
> >
> >
> >
> >
> >
> >
> >
> >

> > > On May 14, 1:36 pm, Virgil <vir...@ligriv.com> wrote:
> > > > In article
> > > > <d8620fe3-928d-4bc5-bf24-b16bee326...@wb17g2000pbc.googlegroups.com>,
> > > > Graham Cooper <grahamcoop...@gmail.com> wrote:

> >
> > > > > On May 14, 11:09 am, Virgil <vir...@ligriv.com> wrote:
> > > > > > In article
> > > > > > <4f6cc18e-90b2-415e-83aa-963e1c083...@n5g2000pbg.googlegroups.com>,
> > > > > > 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!

> >
> > I have learnt the quadratic formula off by heart, too, though, at need I
> > can derive it from the quadratic equation, a*x^2 + b*x + c = 0, and
> > apply it.
> >
> >
> >

> > > and the Missing Set from the above enumeration is.... ?
> >
> > In order to be able to use the definition "S = {n in |N | ~ n in f(n)}"
> > and thus determine which sets are missing in the image of a given
> > function,  f: |N  --> 2^|N, one must first be able to determine all the
> > values of that function, i.e., one subset of |N for each member of |N..
> >
> > If you only give me
> >
> >    f(1) = { 1 , 3 , 6 }
> >    f(2) = { 1 , 5 , 11 }
> >    f(3) = { 2 , 4 , 6, 8 , 10 , ... }
> >    f(4) = { 4 , 5, 6, 7, 8 }
> >
> > All I know so far is that that your f cannot be such a function
> > because 1 is in f(1) and 4 is in f(4).
> >

>
>
> <BZZZT!>
>
> Wrong! Try again, what about 2? Is that in your missing set ?


Depends on whether  f(2) = { 1 , 5 , 11 } or not.

If f(2) = { 1 , 5 , 11 } and f(3) = { 2 , 4 , 6, 8 , 10 , ... }
then 2 and 3 will be in that set, S, but that leaves all infinitely many
n in |N with n > 4 still undetermined as to membership in S where
"S = {n in |N | ~ n in f(n)}"

>
>
> Herc
> --
> www.BLoCKPROLOG.com

--




Date Subject Author
5/10/13
Read Re: Matheology � 263
Virgil
5/13/13
Read Re: Matheology � 263
Virgil
5/13/13
Read Re: Matheology § 263
Graham Cooper
5/13/13
Read Re: Matheology � 263
Virgil
5/13/13
Read Re: Matheology § 263
Graham Cooper
5/13/13
Read Re: Matheology � 263
Virgil
5/14/13
Read Re: Matheology § 263
Graham Cooper
5/14/13
Read Re: Matheology � 263
Virgil
5/14/13
Read Re: Matheology § 263
Graham Cooper
5/14/13
Read Re: Matheology � 263
Virgil
5/14/13
Read Re: Matheology § 263
Graham Cooper
5/14/13
Read Re: Matheology � 263
Virgil
5/14/13
Read Re: Matheology § 263
Graham Cooper
5/14/13
Read Re: Matheology � 263
Virgil
5/14/13
Read Re: Matheology § 263
Graham Cooper
5/14/13
Read Re: Matheology � 263
Virgil
5/15/13
Read Re: Matheology § 263
Graham Cooper
5/15/13
Read Re: Matheology � 263
Virgil
5/15/13
Read Re: Matheology § 263
Graham Cooper
5/15/13
Read Re: Matheology � 263
Virgil
5/15/13
Read Re: Matheology § 263
Graham Cooper
5/15/13
Read Re: Matheology � 263
Virgil
5/15/13
Read Re: Matheology § 263
Graham Cooper
5/16/13
Read Re: Matheology � 263
Virgil
5/16/13
Read Re: Matheology § 263
Graham Cooper
5/16/13
Read Re: Matheology � 263
Virgil
5/16/13
Read Re: Matheology § 263
Graham Cooper
5/16/13
Read Re: Matheology � 263
Virgil
5/16/13
Read Re: Matheology § 263
Graham Cooper
5/16/13
Read Re: Matheology � 263
Virgil
5/16/13
Read Re: Matheology § 263
Graham Cooper
5/16/13
Read Re: Matheology � 263
Virgil
5/16/13
Read Re: Matheology § 263
Graham Cooper
5/16/13
Read Re: Matheology � 263
Virgil
5/16/13
Read Re: Matheology § 263
Graham Cooper
5/16/13
Read Re: Matheology � 263
Virgil
5/16/13
Read Re: Matheology § 263
Graham Cooper
5/16/13
Read Re: Matheology � 263
Scott Berg
5/16/13
Read Re: Matheology � 263
Virgil
5/16/13
Read Re: Matheology § 263
Graham Cooper
5/16/13
Read Re: Matheology � 263
Virgil
5/16/13
Read Re: Matheology § 263
Graham Cooper
5/16/13
Read Re: Matheology � 263
Virgil
5/16/13
Read Re: Matheology � 263
Virgil
5/16/13
Read Re: Matheology § 263
Graham Cooper
5/17/13
Read Re: Matheology � 263
Virgil
5/17/13
Read Re: Matheology § 263
Graham Cooper
5/17/13
Read Re: Matheology � 263
Virgil
5/17/13
Read Re: Matheology § 263
Graham Cooper
5/17/13
Read Re: Matheology � 263
Virgil
5/17/13
Read Re: Matheology § 263
Graham Cooper
5/17/13
Read Re: Matheology � 263
Virgil
5/17/13
Read Re: Matheology § 263
Graham Cooper
5/14/13
Read Re: Matheology § 263
Graham Cooper
5/14/13
Read Re: Matheology � 263
Virgil

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