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 § 238
Replies: 210   Last Post: Apr 13, 2013 4:21 PM

Advanced Search

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

Posts: 1,968
Registered: 12/4/12
Re: Matheology § 238
Posted: Apr 11, 2013 3:42 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On 4/11/2013 1:57 AM, WM wrote:
> On 10 Apr., 23:24, Virgil <vir...@ligriv.com> wrote:
>


<snip>

>>
>> WM is again ignoring the fact that, for a strictly increasing infinite
>> sequence of any sort, the limit, of one exists, cannot be a member of
>> the sequence.

>
> No, that is just my point.


Regardless of what is explained to
WM, he does not make the distinction.

There are different logical types in
relation to one another.

The arithmetical system governing the
limits is distinct from the arithmetical
system governing the grounding type
from which the system of limits is formed.

It is easiest to see this in real analysis.

Hilbert reversed this relation with formalist
axiomatization. However, that axiomatization
corresponds with Cantor's call for treating
the system of limits (equivalence classes of
fundamental sequences) as an arithmetical
system in its own right. Relative to that
axiomatization, Dedekind cuts and Cantorian
fundamental sequences become representable
structures with respect to which defined
topological properties are instantiated.

But, transfinite arithmetic arises in the same
way.

Relative to the enumeration of successors,
countably infinite collections are taken to be
finished. The arithmetical system is ordered
according to the premise that exactly one
such collection contains an element without
a successor and that no such collection has
an element with more than one predecessor or
less than one predecessor. The arithmetical
system is axiomatized as a single system of
ordinal numbers, among which are the
transfinite.

Just as the real numbers partition into the
rational numbers and the real numbers, the
ordinal numbers partition into successor
ordinals and limit ordinals (the empty
set is vacuously a limit ordinal).

WM's statements have no relation whatsoever
to the one he has claimed to be in agreement
with.





Date Subject Author
4/6/13
Read Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
Bergholt Stuttley Johnson
4/6/13
Read Re: Matheology § 238
William Hughes
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
Bergholt Stuttley Johnson
4/6/13
Read Re: Matheology § 238
William Hughes
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
fom
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
Bergholt Stuttley Johnson
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
fom
4/6/13
Read Re: Matheology § 238
William Hughes
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
William Hughes
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
William Hughes
4/6/13
Read Re: Matheology � 238
Virgil
4/7/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/7/13
Read Re: Matheology § 238
William Hughes
4/7/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/7/13
Read Re: Matheology § 238
William Hughes
4/7/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/7/13
Read Re: Matheology § 238
William Hughes
4/7/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/7/13
Read Re: Matheology § 238
fom
4/7/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology § 238
William Hughes
4/9/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/9/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/9/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology § 238
William Hughes
4/9/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/9/13
Read Re: Matheology § 238
William Hughes
4/9/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/9/13
Read Re: Matheology § 238
William Hughes
4/9/13
Read Re: Matheology § 238
Tanu R.
4/9/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/9/13
Read Re: Matheology § 238
William Hughes
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology § 238
William Hughes
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
William Hughes
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
William Hughes
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
William Hughes
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
William Hughes
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
William Hughes
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
William Hughes
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
William Hughes
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
William Hughes
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
William Hughes
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
William Hughes
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
William Hughes
4/12/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 238
William Hughes
4/12/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 238
fom
4/12/13
Read Re: Matheology � 238
Virgil
4/12/13
Read Re: Matheology § 238
fom
4/12/13
Read Re: Matheology § 238
William Hughes
4/12/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 238
William Hughes
4/12/13
Read Re: Matheology § 238
Tanu R.
4/13/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology � 238
Virgil
4/12/13
Read Re: Matheology � 238
Virgil
4/13/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 238
fom
4/13/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 238
fom
4/13/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 238
fom
4/13/13
Read Re: Matheology � 238
Virgil
4/13/13
Read Re: Matheology � 238
Virgil
4/13/13
Read Re: Matheology � 238
Virgil
4/12/13
Read Re: Matheology � 238
Virgil
4/12/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology � 238
Virgil
4/12/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/12/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 238
fom
4/12/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology § 238
fom
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
fom
4/10/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
dan.ms.chaos@gmail.com
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology § 238
dan.ms.chaos@gmail.com
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
fom
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
fom
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
fom
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
fom
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
fom
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/11/13
Read Re: Matheology § 238
fom
4/11/13
Read Re: Matheology � 238
Virgil
4/11/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology � 238
Virgil
4/10/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/10/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology � 238
Virgil
4/9/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/9/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/8/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology § 238
Tanu R.
4/8/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology § 238
Tanu R.
4/8/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology � 238
Virgil
4/8/13
Read Re: Matheology � 238
Virgil
4/7/13
Read Re: Matheology � 238
Virgil
4/7/13
Read Re: Matheology � 238
Virgil
4/7/13
Read Re: Matheology § 238
fom
4/7/13
Read Re: Matheology � 238
Virgil
4/7/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
fom
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
fom
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
fom
4/6/13
Read Re: Matheology § 238
Bergholt Stuttley Johnson
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
namducnguyen
4/6/13
Read Re: Matheology § 238
namducnguyen
4/6/13
Read Re: Matheology § 238
mueckenh@rz.fh-augsburg.de
4/6/13
Read Re: Matheology § 238
fom
4/6/13
Read Re: Matheology � 238
Virgil
4/6/13
Read Re: Matheology § 238
fom

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.