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Topic: Effect of gravitation in set theory
Replies: 75   Last Post: Nov 25, 2011 7:11 PM

 Messages: [ Previous | Next ]
 Virgil Posts: 8,833 Registered: 1/6/11
Re: Effect of gravitation in set theory
Posted: Nov 23, 2011 2:20 AM

In article
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 22 Nov., 23:32, William Hughes <wpihug...@gmail.com> wrote:
>
> Here is all that is to be said about that topic.
>
> S_k = {1, 2, 3, ..., k}
>
> Definition: S_k is necessary <==> S_k contains a natural number n that
> is not in any S_(k+j), j > 0.
>
> Theorem. *If it is possible* to have all natural numbers in the union
> of a set of S_k we need not more than one S_k.

It is possible!

H_K = Union{S_k: k in H} will work for any H which is not a subset of
any S_k.

In particular, H_N = Union{S_k: k in N} does so trivially since for
every n in N, n is also in S_n, so the union of all such S_n's will
cover all n''s in N.

>
> Proof:

The alleged proof of something that is already proven false is of no
interest except as an example of flawed proofs.
--

Date Subject Author
11/21/11 mueckenh@rz.fh-augsburg.de
11/21/11 J. Antonio Perez M.
11/21/11 J. Antonio Perez M.
11/21/11 William Hughes
11/21/11 J. Antonio Perez M.
11/21/11 mueckenh@rz.fh-augsburg.de
11/21/11 Virgil
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 Virgil
11/22/11 Virgil
11/21/11 William Hughes
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 William Hughes
11/22/11 Virgil
11/22/11 J. Antonio Perez M.
11/21/11 Jürgen R.
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 Jürgen R.
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 Jürgen R.
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 J. Antonio Perez M.
11/22/11 Jürgen R.
11/22/11 J. Antonio Perez M.
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 Jürgen R.
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 Virgil
11/22/11 William Hughes
11/22/11 J. Antonio Perez M.
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 J. Antonio Perez M.
11/22/11 Virgil
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 William Hughes
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 J. Antonio Perez M.
11/22/11 William Hughes
11/22/11 Virgil
11/22/11 Virgil
11/22/11 Virgil
11/22/11 Virgil
11/22/11 Virgil
11/23/11 mueckenh@rz.fh-augsburg.de
11/23/11 Virgil
11/23/11 William Hughes
11/22/11 Virgil
11/22/11 J. Antonio Perez M.
11/22/11 Carsten Schultz
11/21/11 Virgil
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 William Hughes
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 William Hughes
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 William Hughes
11/22/11 mueckenh@rz.fh-augsburg.de
11/22/11 William Hughes
11/23/11 mueckenh@rz.fh-augsburg.de
11/23/11 William Hughes
11/23/11 Virgil
11/23/11 mueckenh@rz.fh-augsburg.de
11/23/11 Virgil
11/24/11 mueckenh@rz.fh-augsburg.de
11/24/11 Virgil
11/25/11 mueckenh@rz.fh-augsburg.de
11/25/11 J. Antonio Perez M.
11/25/11 mueckenh@rz.fh-augsburg.de
11/25/11 J. Antonio Perez M.
11/22/11 Virgil
11/22/11 Virgil
11/22/11 Virgil
11/22/11 Virgil
11/22/11 jdawe
11/22/11 J. Antonio Perez M.