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

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Virgil

Posts: 9,012
Registered: 1/6/11
Re: Matheology � 263
Posted: May 16, 2013 9:17 PM
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In article
<3fb4082c-a455-47a8-a931-c219fd2fb2df@qc10g2000pbb.googlegroups.com>,
Graham Cooper <grahamcooper7@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).

Take your pick.
--




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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