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: Why Mathematics contradicts set theory
Replies: 41   Last Post: Jan 21, 2014 11:29 PM

Advanced Search

Back to Topic List Back to Topic List Jump to Tree View Jump to Tree View   Messages: [ Previous | Next ]
Michael F. Stemper

Posts: 108
Registered: 9/5/13
Re: Why Wolkenmuekenheim fails to understand set theory
Posted: Jan 21, 2014 7:13 PM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On 01/21/2014 05:56 PM, Virgil wrote:
> In article <9c2d9b80-8313-4d51-8770-7aba48f2c3c1@googlegroups.com>,
> mueckenh@rz.fh-augsburg.de wrote:

>> On Tuesday, 21 January 2014 05:41:54 UTC+1, Virgil wrote:

>>> WM must be using a highly non-standard definition of countability if he
>>> claims that sets which cannot be listed can be counted.
>>> In standard mathematics "countable" and "listable" are equivalent.

>
>> A set that is not uncountable but cannot be listed is not a set in standard
>> set theory.

>
> In standard mathematics and standard set theory, countability and
> listability are equivalent properties, and any set that has one has
> both, and any set that lacks either lacks both.
> An the presence or absence of either of these in no way limits what
> constitutes a set,
>

>> For instance the set of all real numbers that can only be defined
>> as limits.

>
> Unless one can unambiguously determine of every real whether it an be
> defined OTHER than by a limit, that property is far too ambiguous to
> define a set at all.


Of course, if you define the reals as "equivalence classes of Cauchy sequences
of rationals", then all reals are defined by limits. By definition.

--
Michael F. Stemper
No animals were harmed in the composition of this message.


Date Subject Author
1/19/14
Read Why Mathematics contradicts set theory
mueckenh@rz.fh-augsburg.de
1/19/14
Read Re: Why Mathematics contradicts set theory
Port563
1/19/14
Read Re: Why Mathematics contradicts set theory
William Hughes
1/20/14
Read Re: Why Mathematics contradicts set theory
mueckenh@rz.fh-augsburg.de
1/20/14
Read Re: Why Mathematics contradicts set theory
William Hughes
1/20/14
Read Re: Why Mathematics contradicts set theory
mueckenh@rz.fh-augsburg.de
1/20/14
Read Re: Why Mathematics contradicts set theory
William Hughes
1/20/14
Read Re: Why Mathematics contradicts set theory
wolfgang.mueckenheim@hs-augsburg.de
1/20/14
Read Re: Why Mathematics contradicts set theory
William Hughes
1/20/14
Read Re: Why Mathematics contradicts set theory
mueckenh@rz.fh-augsburg.de
1/20/14
Read Re: Why Mathematics contradicts set theory
William Hughes
1/20/14
Read Re: Why Mathematics contradicts set theory
William Hughes
1/20/14
Read Re: Why Mathematics contradicts set theory
mueckenh@rz.fh-augsburg.de
1/20/14
Read Re: Why Mathematics contradicts set theory
William Hughes
1/20/14
Read Re: Why Mathematics contradicts set theory
mueckenh@rz.fh-augsburg.de
1/20/14
Read Re: Why Mathematics contradicts set theory
William Hughes
1/21/14
Read Re: Why Mathematics contradicts set theory
mueckenh@rz.fh-augsburg.de
1/21/14
Read Re: Why Mathematics contradicts set theory
William Hughes
1/21/14
Read Re: Why Mathematics contradicts set theory
mueckenh@rz.fh-augsburg.de
1/21/14
Read Re: Why Mathematics contradicts set theory
William Hughes
1/21/14
Read Re: Why Mathematics contradicts set theory
Virgil
1/21/14
Read Re: Why WMytheology contradicts set theory
Virgil
1/21/14
Read Re: Why Mathematics depends on set theory
Virgil
1/20/14
Read Re: Why Mathematics contradicts set theory
Virgil
1/21/14
Read Re: Why Mathematics contradicts set theory
mueckenh@rz.fh-augsburg.de
1/21/14
Read Re: Why Wolkenmuekenheim contradicts set theory
Virgil
1/21/14
Read Re: Why Wolkenmuekenheim fails to understand set theory
Michael F. Stemper
1/21/14
Read Re: Why Wolkenmuekenheim fails to understand set theory
Virgil
1/20/14
Read Re: Why Mathematics contradicts set theory
Virgil
1/20/14
Read Re: Why Mathematics contradicts set theory
Virgil
1/20/14
Read Re: Why Mathematics contradicts set theory
Virgil
1/20/14
Read Re: Why Mathematics contradicts set theory
Virgil
1/21/14
Read Re: Why Mathematics contradicts set theory
mueckenh@rz.fh-augsburg.de
1/21/14
Read Re: Why Mathematics contains set theory
Virgil
1/20/14
Read Re: Why Mathematics contradicts set theory
David C. Ullrich
1/20/14
Read Re: Why Mathematics contradicts set theory
Virgil
1/19/14
Read Re: Why Mathematics contradicts set theory
Virgil
1/20/14
Read Re: Why Mathematics contradicts set theory
mueckenh@rz.fh-augsburg.de
1/20/14
Read Re: Why Mathematics contradicts set theory
Virgil
1/21/14
Read Re: Why Mathematics contradicts set theory
mueckenh@rz.fh-augsburg.de
1/21/14
Read Re: Why WMytheology contradicts set theory
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.