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 § 246
Replies: 246   Last Post: Apr 26, 2013 2:37 AM

Advanced Search

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

Posts: 1,969
Registered: 12/4/12
Re: Matheology § 246
Posted: Apr 17, 2013 11:17 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

On 4/17/2013 9:57 AM, WM wrote:
> On 17 Apr., 16:27, fom <fomJ...@nyms.net> wrote:
>> On 4/17/2013 2:45 AM, WM wrote:
>>

>>> On 16 Apr., 22:45, Virgil <vir...@ligriv.com> wrote:
>>
>>>> It is not clear to me, or to anyone sensible, that the entire sequence
>>>> of all naturals in A, which has no maximal member, is "in" any line of
>>>> naturals that has a maximal member, and it is equally clear that every
>>>> line does have a maximal member.

>>
>>> Is there any number of A that is not in at least one line?
>>
>> Responding to a statement saying "It is not clear..."
>> with a question. How typical.

>
> A rhetorical question. Even Virgil knows that the answer is "no".
>

>>> For all n : (1, ..., n) of A is in line n of B.
>>
>> You really need to become more consistent concerning
>> when a number corresponds with a mark ('1') and when
>> a number corresponds with a finite initial segment
>> of the natural numbers *given* by the axioms.

>
> Neither of them has to do with axioms. Those are merely applied to
> confuse newbies.
> If AC is accepted, the reals can be proven to have a well-ordering.
> If AC is true, the reals can be well-ordered.
> If AC is not accepted, reality is the same as if AC is accepted.


http://planetmath.org/basis

not quite

More precisely, reality is what reality is.

The description of it would be significantly different.

A non-standard explanation for this relationship
between bases and the axiom of choice would involve
a class of lattices sometimes called matroids.
Among the lattices that satisfy the definition of
matroids are the partition lattices or equivalence
lattices. In other words, there is an identity
criterion involved with using vector spaces
to represent "reality" (it would be more precise
to say that representative something is a little
more algebraically complex -- a Euclidean point
space defined over an inner product space). One
of the motivating principles for the study of
matroids had been the idea of studying linear
independence without the numerical coefficients.
So, there is a confluence between the mathematics
of vector spaces and the logic of equivalence
classes in these structures.







Date Subject Author
4/12/13
Read Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology § 246
JT
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology § 246
Ralf Bader
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Scott Berg
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology � 246
Scott Berg
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology � 246
David C. Ullrich
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology § 246
Ralf Bader
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
Ralf Bader
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology § 246
Ralf Bader
4/14/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/12/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/12/13
Read Re: Matheology § 246
Tanu R.
4/12/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
Tanu R.
4/13/13
Read Re: Matheology § 246
Tanu R.
4/13/13
Read Re: Matheology § 246
Tanu R.
4/13/13
Read Re: Matheology § 246
Tanu R.
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
Bergholt Stuttley Johnson
4/13/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology § 246
Tanu R.
4/14/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
fom
4/12/13
Read Re: Matheology � 246
Virgil
4/12/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
Tanu R.
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology � 246
David C. Ullrich
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology � 246
David C. Ullrich
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology § 246
dan.ms.chaos@gmail.com
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology § 246
Tanu R.
4/14/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology � 246
David C. Ullrich
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology § 246
fom
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology § 246
fom
4/15/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/15/13
Read Re: Matheology � 246
Virgil
4/15/13
Read Re: Matheology § 246
fom
4/16/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/16/13
Read Re: Matheology § 246
Bergholt Stuttley Johnson
4/16/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology � 246
Virgil
4/15/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/15/13
Read Re: Matheology § 246
Bergholt Stuttley Johnson
4/15/13
Read Re: Matheology � 246
Virgil
4/16/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/16/13
Read Re: Matheology � 246
Virgil
4/16/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/16/13
Read Re: Matheology § 246
fom
4/16/13
Read Re: Matheology � 246
Virgil
4/16/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology � 246
Virgil
4/16/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
Tanu R.
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology � 246
Tanu R.
4/17/13
Read Re: Matheology § 246
gus gassmann
4/18/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/18/13
Read Re: Matheology § 246
fom
4/21/13
Read Re: Matheology § 246
gus gassmann
4/21/13
Read Re: Matheology § 246
Ralf Bader
4/21/13
Read Re: Matheology § 246
fom
4/22/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/22/13
Read Re: Matheology § 246
Ralf Bader
4/22/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/22/13
Read Re: Matheology § 246
Bergholt Stuttley Johnson
4/23/13
Read Re: Matheology § 246
Ralf Bader
4/24/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/24/13
Read Re: Matheology � 246
Virgil
4/24/13
Read Re: Matheology § 246
Ralf Bader
4/25/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/25/13
Read Re: Matheology § 246
fom
4/25/13
Read Re: Matheology § 246
Ralf Bader
4/25/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/25/13
Read Re: Matheology § 246
Ralf Bader
4/25/13
Read Re: Matheology § 246
Tanu R.
4/25/13
Read Re: Matheology § 246
Ralf Bader
4/25/13
Read Re: Matheology § 246
Tanu R.
4/26/13
Read Re: Matheology § 246
Bergholt Stuttley Johnson
4/25/13
Read Re: Matheology � 246
Virgil
4/22/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/22/13
Read Re: Matheology § 246
fom
4/22/13
Read Re: Matheology § 246
gus gassmann
4/22/13
Read Re: Matheology § 246
gus gassmann
4/22/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/22/13
Read Re: Matheology § 246
fom
4/22/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/22/13
Read Re: Matheology § 246
fom
4/22/13
Read Re: Matheology � 246
Virgil
4/22/13
Read Re: Matheology � 246
Virgil
4/23/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/23/13
Read Re: Matheology § 246
fom
4/23/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/23/13
Read Re: Matheology § 246
fom
4/23/13
Read Re: Matheology � 246
Virgil
4/24/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/24/13
Read Re: Matheology � 246
Virgil
4/23/13
Read Re: Matheology § 246
fom
4/24/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/24/13
Read Re: Matheology � 246
Virgil
4/24/13
Read Re: Matheology § 246
fom
4/25/13
Read Re: Matheology � 246
Virgil
4/23/13
Read Re: Matheology � 246
Virgil
4/22/13
Read Re: Matheology � 246
Virgil
4/18/13
Read Re: Matheology � 246
Virgil
4/19/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/19/13
Read Re: Matheology § 246
fom
4/19/13
Read Re: Matheology § 246
fom
4/19/13
Read Re: Matheology � 246
Virgil
4/19/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/19/13
Read Re: Matheology § 246
fom
4/19/13
Read Re: Matheology § 246
fom
4/19/13
Read Re: Matheology � 246
Virgil
4/18/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/18/13
Read Re: Matheology § 246
fom
4/18/13
Read Re: Matheology � 246
Virgil
4/18/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
Bergholt Stuttley Johnson
4/17/13
Read Re: Matheology § 246
Ralf Bader
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
Ralf Bader
4/17/13
Read Re: Matheology § 246
Tanu R.
4/18/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology § 246
fom
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/17/13
Read Re: Matheology � 246
Virgil
4/17/13
Read Re: Matheology § 246
fom
4/15/13
Read Re: Matheology § 246
fom
4/13/13
Read Re: Matheology ? 246
Virgil
4/13/13
Read Re: Matheology ? 246
Tanu R.
4/13/13
Read Re: Matheology ? 246
Tanu R.
4/13/13
Read Re: Matheology ? 246
Tanu R.
4/13/13
Read Re: Matheology ? 246
Virgil
4/13/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/13/13
Read Re: Matheology � 246
Virgil
4/14/13
Read Re: Matheology § 246
mueckenh@rz.fh-augsburg.de
4/14/13
Read Re: Matheology § 246
Tanu R.
4/14/13
Read Re: Matheology � 246
Virgil
4/13/13
Read Re: Matheology ? 246
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.