```Date: Dec 30, 2012 2:10 AM
Author: Virgil
Subject: Re: VIRGIL CAN ANTI-DIAGONALISE ANY POWERSET(N)!  <<<<<

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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