```Date: Dec 30, 2012 12:50 AM
Author: Virgil
Subject: Re: VIRGIL CAN ANTI-DIAGONALISE ANY POWERSET(N)!  <<<<<

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 NWhen 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), ..., thenthe set  S = { x in N: x not in f(x)}, is not included in that list.--
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