Virgil
Posts:
4,482
Registered:
1/6/11
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Re: VIRGIL CAN ANTI-DIAGONALISE ANY POWERSET(N)! <<<<<
Posted:
Dec 30, 2012 2:10 AM
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In article <kbon4u$ssa$1@dont-email.me>,
"INFINITY POWER" <infinity@limited.com> wrote:
> "Virgil" wrote in message
>
> In article <kboeg7$s7e$1@dont-email.me>,
> "INFINITY POWER" <infinity@limited.com> wrote:
>
> > On Dec 30, 1:46 pm, Virgil <vir...@ligriv.com> wrote:
> > > In article
> > > <49449aa4-41e2-4c5b-b120-32cfcc328...@px4g2000pbc.googlegroups.com>,
> > >
> > > camgi...@hush.com wrote:
> > > > USE YOUR ANTI-DIAGONAL METHOD
> > > > ON THIS SET OF *ALL* SUBSETS OF N!
> > >
> > > NO! I see no evidence of any surjection from any set to its power set
> >
> > I said N.
> >
> >
> > >
> > > S P(S)
> > > --- ------
> > > {} {{}} No bijection
> > > {a} {{a},{}} No bijection
> > > {a,b} {{a,b}, {a}, {b}, {}}
> > >
> >
> > That has nothing to do with the Powerset.
> >
> > For any FINITE SET you can create a larger set just by adding 1 element.
> >
> >
> >
> >
> > 1 <=> {1,3,4,5...}
> > 2 <=> {1,2,3,4,5,6,7,8,9,10...}
> > 3 <=> {1}
> > 4 <=> {2,4,6,8,10,...}
> > ..
> >
> > Virgil Fails to show any missing subset of N
>
> When you have given me an allegedly complete listing of the subsets of N
> I will find a set that you have omitted from your list.
>
> Supposing any list of subsets of N, f(1), f(2), f(3), ..., then
> the set S = { x in N: x not in f(x)}, is not included in that list.
>
>
>
> **********************HERC*****************
>
>
> I have posted it to you about 15 times over the last week.
>
> x e PS(N)_ss <-> TM_ss(x) halts
>
>
> Can you read logic formula at all?
Try mathematical formulae in sci.math
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