Drexel dragonThe Math ForumDonate to the Math Forum



Search All of the Math Forum:

Views expressed in these public forums are not endorsed by Drexel University or The Math Forum.


Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Matheology § 203
Replies: 202   Last Post: Feb 10, 2013 3:34 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Virgil

Posts: 9,012
Registered: 1/6/11
Re: Matheology � 203
Posted: Jan 29, 2013 6:47 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

In article
<f5702bc4-f905-4e60-94c5-a503f3d9d887@n2g2000yqg.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> "All" and "every" in impredicative statements about infinite sets.
>
> Consider the following statements:
>
> A) For every natural number n, P(n) is true.
> B) There does not exist a natural number n such that P(n) is false.
> C) For all natural numbers P is true.
>
> A implies B but A does not imply C.


D) For all natural numbers n , P(n) is true


But A does imply D.
>
> Examples for A:
> 1) For every n in N, there is m in N with n < m.
> 2) For every n in N, the set (1, 2, ..., n) is finite.
> 3) For every n in N, the construction of the first n nodes of the
> Binary Tree adds n paths to the Bibary Tree.


False! At least for binary non-Bibary trees.

The first 3 nodes produce only 2 paths in a finite biNary tree.
The first 7 nodes produce only 4 paths in a finite binary tree.
The first 15 nodes produce only 8 paths in a finite binary tree.


> 4) For every n in N, the anti-diagonal of a Cantor-list is not in the
> lines L_1 to L_n.


Thus not anywhere in the list!
--




Date Subject Author
1/29/13
Read Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
Read Re: Matheology § 203
William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
Read Re: Matheology § 203
William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
Read Re: Matheology § 203
William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
Read Re: Matheology § 203
William Hughes
1/31/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/31/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology � 203
Virgil
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/2/13
Read Re: Matheology § 203
William Hughes
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/2/13
Read Re: Matheology § 203
William Hughes
2/2/13
Read Re: WMytheology � 203
Virgil
2/2/13
Read Re: WMytheology § 203
fom
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/2/13
Read Re: Matheology § 203
William Hughes
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/2/13
Read Re: Matheology § 203
William Hughes
2/2/13
Read Re: Matheology § 203
William Hughes
2/3/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/3/13
Read Re: Matheology § 203
William Hughes
2/3/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/3/13
Read Re: Matheology � 203
Virgil
2/3/13
Read Re: Matheology § 203
William Hughes
2/3/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/3/13
Read Re: Matheology § 203
fom
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
Read Re: Matheology § 203
fom
2/5/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/5/13
Read Re: Matheology § 203
fom
2/5/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/5/13
Read Re: Matheology � 203
Virgil
2/5/13
Read Re: Matheology � 203
Virgil
2/4/13
Read Re: WMytheology � 203
Virgil
2/4/13
Read Re: WMytheology § 203
fom
2/4/13
Read Re: WMytheology � 203
Virgil
2/5/13
Read Re: WMytheology § 203
fom
2/5/13
Read Re: WMytheology § 203
mueckenh@rz.fh-augsburg.de
2/5/13
Read Re: WMytheology § 203
fom
2/5/13
Read Re: WMytheology § 203
mueckenh@rz.fh-augsburg.de
2/10/13
Read Re: WMytheology § 203
fom
2/3/13
Read Re: Matheology § 203
William Hughes
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
Read Re: Matheology § 203
William Hughes
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
Read Re: Matheology § 203
William Hughes
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
Read Re: Matheology § 203
William Hughes
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
Read Re: Matheology § 203
William Hughes
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
Read Re: Matheology § 203
William Hughes
2/5/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/5/13
Read Re: Matheology § 203
William Hughes
2/5/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/5/13
Read Re: Matheology � 203
Virgil
2/5/13
Read Re: Matheology § 203
gus gassmann
2/5/13
Read Re: Matheology § 203
William Hughes
2/5/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/5/13
Read Re: Matheology � 203
Virgil
2/5/13
Read Re: Matheology § 203
fom
2/5/13
Read Re: Matheology § 203
William Hughes
2/5/13
Read Re: Matheology � 203
Virgil
2/4/13
Read Re: WMytheology � 203
Virgil
2/4/13
Read Re: Matheology � 203
Virgil
2/4/13
Read Re: Matheology § 203
fom
2/4/13
Read Re: Matheology � 203
Virgil
2/4/13
Read Re: Matheology § 203
fom
2/5/13
Read Re: Matheology § 203
fom
2/5/13
Read Re: Matheology � 203
Virgil
2/5/13
Read Re: Matheology § 203
fom
2/4/13
Read Re: Matheology � 203
Virgil
2/4/13
Read Re: Matheology � 203
Virgil
2/4/13
Read Re: WMytheology � 203
Virgil
2/5/13
Read Re: WMytheology § 203
mueckenh@rz.fh-augsburg.de
2/5/13
Read Re: WMytheology � 203
Virgil
2/3/13
Read Re: Matheology � 203
Virgil
2/3/13
Read Re: Matheology § 203
fom
2/4/13
Read Re: Matheology § 203
William Hughes
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
Read Re: Matheology � 203
Virgil
2/4/13
Read Re: Matheology � 203
Virgil
2/3/13
Read Re: Matheology � 203
Ralf Bader
2/4/13
Read Re: Matheology � 203
fom
2/4/13
Read Re: Matheology ? 203
Virgil
2/5/13
Read Re: Matheology � 203
Ralf Bader
2/6/13
Read Re: Matheology 203
mueckenh@rz.fh-augsburg.de
2/6/13
Read Re: Matheology 203
Virgil
2/6/13
Read Re: Matheology 203
mueckenh@rz.fh-augsburg.de
2/6/13
Read Re: Matheology 203
Virgil
2/6/13
Read Re: Matheology 203
mueckenh@rz.fh-augsburg.de
2/6/13
Read Re: Matheology 203
Virgil
2/6/13
Read Re: Matheology � 203
fom
2/6/13
Read Re: Matheology � 203
fom
2/4/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/4/13
Read Re: WMytheology � 203
Virgil
2/3/13
Read Re: Matheology � 203
Virgil
2/2/13
Read Re: Matheology � 203
Virgil
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology � 203
Virgil
2/1/13
Read Re: Matheology � 203
Virgil
2/1/13
Read Re: Matheology § 203
William Hughes
2/1/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology � 203
Virgil
2/2/13
Read Re: Matheology § 203
fom
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/2/13
Read Re: Matheology § 203
fom
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/2/13
Read Re: Matheology � 203
Virgil
2/2/13
Read Re: Matheology § 203
fom
2/2/13
Read Re: Matheology � 203
Virgil
2/2/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
2/1/13
Read Re: Matheology � 203
Virgil
2/1/13
Read Re: Matheology � 203
Virgil
2/1/13
Read Re: Matheology � 203
Virgil
2/1/13
Read Re: Matheology � 203
Virgil
1/31/13
Read Re: Matheology � 203
Virgil
1/31/13
Read Re: Matheology � 203
Virgil
1/31/13
Read Re: Matheology � 203
Virgil
1/31/13
Read Re: Matheology � 203
Virgil
1/31/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: WMytheology � 203
Virgil
1/29/13
Read Re: Matheology � 203
Virgil
1/29/13
Read Re: Matheology � 203
Virgil
1/29/13
Read Re: Matheology � 203
Virgil
1/29/13
Read Re: Matheology � 203
Virgil
1/29/13
Read Re: Matheology � 203
Virgil
1/29/13
Read Re: Matheology � 203
Virgil
1/29/13
Read Re: Matheology � 203
Virgil
2/4/13
Read Re: Matheology § 203
JT
1/29/13
Read Re: Matheology � 203
Scott Berg
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology § 203
fom
1/29/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/29/13
Read Re: Matheology � 203
Virgil
1/30/13
Read Re: Matheology § 203
fom
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology § 203
fom
1/30/13
Read Re: Matheology § 203
mueckenh@rz.fh-augsburg.de
1/30/13
Read Re: Matheology � 203
Virgil
1/31/13
Read Re: Matheology § 203
fom
1/30/13
Read Re: Matheology § 203
fom
1/30/13
Read Re: Matheology � 203
Virgil
1/31/13
Read Re: Matheology § 203
fom
1/29/13
Read Re: Matheology § 203
fom
1/29/13
Read Re: Matheology � 203
Virgil

Point your RSS reader here for a feed of the latest messages in this topic.

[Privacy Policy] [Terms of Use]

© Drexel University 1994-2014. All Rights Reserved.
The Math Forum is a research and educational enterprise of the Drexel University School of Education.