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

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 mueckenh@rz.fh-augsburg.de Posts: 12,658 Registered: 1/29/05
Re: Effect of gravitation in set theory
Posted: Nov 23, 2011 1:54 AM

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.

Proof:
S_1 is not necessary.
If S_n is not necessary, then als S_(n+1) is not necessary.

This holds for every n in |N.

Regards, WM

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.