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

Topic: § 524 Are finite cardinal numbers natural numbers?
Replies: 54   Last Post: Jul 22, 2014 10:45 AM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
mueckenh@rz.fh-augsburg.de

Posts: 16,049
Registered: 1/29/05
§ 524 Are finite cardinal numbers natural numbers?
Posted: Jul 8, 2014 5:49 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply



Cantor has shown how the natural numbers can be defined as cardinal numbers of sets.
First Zermelo and later v. Neumann have shown how the natural numbers can be defined as ordinal numbers of sets.
Zero, the most unnatural number though, has been raped and mutilated to become a "natural" number, only in order to justify the unsound idea that a finite initial segment of the ordered set of natural numbers has a cardinal number surpassing all its elements and to deceive mathematicians with the lie that this is a natural state and therefore cannot be different in |{1, 2, 3, ... }| = aleph_0.
The Löwenheim-Skolem argument has been perverted by defineing what "the system thinks". The countability of all really real numbers has been dampened by imaginating undefinable "real numbers". The impossibility of well-ordering uncountable sets has been overridden by "proving" that the impossible is possible.
But all these desperate attempts to keep set theory free of contrsdictions have been without success. Some set theorists have recognized that contradictions nevertheless are unavoidable and now are claiming that finite cardinal numbers are not natural numbers.

Now mathematics is completely decoupled and isolated from its asserted "basis".
That's the best inconsistency proof of set theory, isn't it?

Regards, WM


Date Subject Author
7/8/14
Read § 524 Are finite cardinal numbers natural numbers?
mueckenh@rz.fh-augsburg.de
7/10/14
Read Re: � 524 Are finite cardinal numbers natural numbers?
Virgil
7/11/14
Read Re: � 524 Are finite cardinal numbers natural n
umbers?
mueckenh@rz.fh-augsburg.de
7/11/14
Read Re: ?� 524 Are finite cardinal numbers natural numbers?
Virgil
7/15/14
Read Re: ?� 524 Are finite cardinal numbers natural
numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/15/14
Read Re: ?� 524 Are finite cardinal numbers naturalnumbers?
Virgil
7/15/14
Read Re: ?� 524 Are finite cardinal numbers natural
numbers?
Ki Song
7/15/14
Read Re: ?� 524 Are finite cardinal numbers natural numbers?
Virgil
7/17/14
Read Re: ?� 524 Are finite cardinal numbers natural
numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/17/14
Read Re: ?� 524 Are finite cardinal numbers naturalnumbers?
Virgil
7/17/14
Read What are the natural numbers?
Herman Rubin
7/17/14
Read Re: What are the natural numbers?
ross.finlayson@gmail.com
7/17/14
Read Re: What are the natural numbers?
Pfsszxt@aol.com
7/17/14
Read Re: ?� 524 Are finite cardinal numbers natural
numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/17/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Martin Shobe
7/17/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/17/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/17/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Martin Shobe
7/18/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/18/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Martin Shobe
7/19/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/19/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/19/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Martin Shobe
7/19/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/18/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/19/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/19/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Tucsondrew@me.com
7/20/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/20/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/20/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/20/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/21/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/21/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/20/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Tucsondrew@me.com
7/20/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/20/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Tucsondrew@me.com
7/20/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/20/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/20/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Tucsondrew@me.com
7/20/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/21/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/21/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/21/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/21/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/20/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/19/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/17/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
FredJeffries@gmail.com
7/18/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
wolfgang.mueckenheim@hs-augsburg.de
7/18/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/21/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Rock Brentwood
7/21/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Rock Brentwood
7/22/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
mueckenh@rz.fh-augsburg.de
7/22/14
Read Re: ?? 524 Are finite cardinal numbers natural numbers?
Virgil
7/17/14
Read Re: ?� 524 Are finite cardinal numbers naturalnumbers?
Virgil
7/21/14
Read Re: § 524 Are finite cardinal numbers natural numbe
rs?
Rock Brentwood

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.