Virgil
Posts:
6,618
Registered:
1/6/11
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Re: Matheology � 263
Posted:
May 17, 2013 8:47 PM
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In article
<38a76ce0-667e-4617-80a2-a8ab35decf0b@wg15g2000pbb.googlegroups.com>,
Graham Cooper <grahamcooper7@gmail.com> wrote:
> On May 18, 10:34 am, Virgil <vir...@ligriv.com> wrote:
> > In article
> > <ca34a387-11e5-477f-9115-f5a1ce2fd...@qz2g2000pbb.googlegroups.com>,
> > Graham Cooper <grahamcoop...@gmail.com> wrote:
> >
> >
> >
> >
> >
> >
> >
> >
> >
> > > > Cantors does not say that there is no more than one such set, he just
> > > > said that there is at least one, and I have provided at least one, in
> > > > fact uncountably many of them.
> >
> > > I want to see the FORMULA
> >
> > > { n | n ~e f(n) }
> >
> > > WORK ON
> >
> > > 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
> >
> > > ALL VALUES OF f() ARE SPECIFIED.
> >
> > > ----------
> >
> > > Does your favorite Cantors formula
> >
> > It is not my formula at all, but Cantor's
> >
> >
> >
> > > S = { n | n ~e f(n) }
> >
> > > WORK on the GIVEN f ?
> >
> > > If it does - WHAT IS S ?
>
> For the given f, ask yourself:
>
> Is 1 in f(1)? YES
> Is 2 in f(2)? NO
> Is 3 in f(3)? NO
> Is 4 in f(4)? YES
> Is n in f(n) for n > 4? YES to ALL
>
> > And then work out which will be in { n in |N : ~ n in f(n) }.
>
>
>
> I get S = { 2 , 3 }
>
> S = { x | x ~e f(x) }
>
> 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
>
>
> You took 5 days and still couldn't calculate Cantors Missing Set.
Actually I posted that set long ago, but you were to dumb to realize
what it was.
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