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

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: Matheology � 263
Posted: May 16, 2013 9:49 PM

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

> On May 17, 11:17 am, Virgil <vir...@ligriv.com> wrote:
> > In article
> >  Graham Cooper <grahamcoop...@gmail.com> wrote:
> >

> > > On May 17, 10:57 am, Virgil <vir...@ligriv.com> wrote:
> > > > > OK, use
> >
> > > > >    f(1) = { 1 , 3 , 6 }
> > > > >    f(2) = { 1 , 5 , 11 }
> > > > >    f(3) = { 2 , 4 , 6, 8 , 10 , ... }
> > > > >    f(4) = { 4 , 5, 6, 7, 8 }

> >
> > > > >    f(n) = N   |   n>4
> >
> > > > > What is set S?
> >
> > > > Note that there are only 5 subsets of N that ARE in the image of your
> > > > 'f' out of uncountably many subsets of |N to chose from that will be
> > > > S's, i.e., subset of |N but not values of f.

> >
> > > > They are
> > > >       every finite subset of |N having
> > > >          less that 3 members
> > > >          or exactly 4 members,
> > > >          or more than 5 members,
> > > >          or containing either 2, or a natural larger than 8,
> > > >       and every infinite subset of |N other than f(3).

> >
> > > > Take your pick.
> >
> > Correction:
> > They are
> >       every finite subset of |N having
> >          less that 3 members
> >          or exactly 4 members,
> >          or more than 5 members,
> >          or containing either 2, or a natural larger than 8,
> >       and every infinite PROPER subset of |N other than f(3).
> >
> >

>
>
> Can you calculate CANTORS MISSING SET
>
> given f ?
>
>

> >
> > > > >    f(1) = { 1 , 3 , 6 }
> > > > >    f(2) = { 1 , 5 , 11 }
> > > > >    f(3) = { 2 , 4 , 6, 8 , 10 , ... }
> > > > >    f(4) = { 4 , 5, 6, 7, 8 }

> >
> > > > >    f(n) = N   |   n>4

Any of
every finite subset of |N having
less that 3 members
or exactly 4 members,
or more than 5 members,
or containing either 2, or a natural larger than 8,
and every infinite PROPER subset of |N other than f(3).

--

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