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Topic: Matheology § 255
Replies: 69   Last Post: Apr 24, 2013 9:49 PM

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 Bergholt Stuttley Johnson Posts: 38 Registered: 4/13/13
Re: Matheology § 255
Posted: Apr 20, 2013 3:40 PM

WM wrote:
> Why then do you think there would be
> infinitely many natural numbers?

A Set X is infinite by definition if:
There is a function f:X -> X which is injective but not surjective.

N finit => the function f:N -> N, f(n) := 2*n is

(i) surjective => E n e N: 2*n = 3
or
(ii) not injective => E n,m e N: n =/= m and 2*n = 2*m

(i) & (ii) => WM is an idiot!

Date Subject Author
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 David C. Ullrich
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 fom
4/20/13 Bergholt Stuttley Johnson
4/20/13 Virgil
4/20/13 fom
4/20/13 fom
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 fom
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 fom
4/20/13 fom
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 Virgil
4/20/13 Virgil
4/20/13 fom
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 fom
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 fom
4/20/13 Virgil
4/20/13 Virgil
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 Virgil
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 Virgil
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 fom
4/20/13 Virgil
4/21/13 mueckenh@rz.fh-augsburg.de
4/21/13 Virgil
4/20/13 fom
4/20/13 Virgil
4/20/13 fom
4/20/13 fom
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 fom
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 fom
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 Virgil
4/20/13 fom
4/20/13 fom
4/21/13 mueckenh@rz.fh-augsburg.de
4/21/13 Virgil
4/20/13 Virgil
4/20/13 Virgil
4/20/13 fom
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 Virgil
4/21/13 mueckenh@rz.fh-augsburg.de
4/21/13 fom
4/21/13 Virgil
4/22/13 mueckenh@rz.fh-augsburg.de
4/22/13 Virgil
4/23/13 mueckenh@rz.fh-augsburg.de
4/23/13 Virgil
4/24/13 mueckenh@rz.fh-augsburg.de
4/24/13 Virgil
4/24/13 mueckenh@rz.fh-augsburg.de
4/24/13 Virgil
4/24/13 fom
4/23/13 gus gassmann
4/20/13 fom
4/20/13 fom
4/20/13 mueckenh@rz.fh-augsburg.de
4/20/13 fom
4/20/13 Virgil
4/20/13 Virgil