Search All of the Math Forum:

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

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

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

 Messages: [ Previous | Next ]
 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: Matheology § 238
Posted: Apr 8, 2013 7:35 AM

On 8 Apr., 13:18, William Hughes <wpihug...@gmail.com> wrote:
> On Apr 8, 12:56 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>
>
>

> > You can remove a finite set of lines without removing the infinite
> > set. That is obvious. But why should it not be possible to remove all
> > finite lines?

>
> I said the "collection of all lines" (this is the same
> as the "collection of all finite lines").  The collection
> of all finite lines is D and it is not possible
> to remove D without leaving the empty set.

That is not in accordance with your statement: "Because the fact that
for every finite union P is true, says nothing about whether P is
true
for an infinite union."

> Do you agree
>
>   There is no contradiction in saying that you can
>   remove any one line (plus its predecessors) without
>   changing the union but you cannot
>   remove the collection of all lines without changing
>   the union.
>
> Yes or No

third question: (3) Is the union of these FISONs 1/9? You said yes.

Obviously we can remove from an actually infinite line 1/9 = 0.111...
all FIS of indices.

Remember the definition of actually infinite for that case: The number
of indices in 0.111... is larger than every finite number of indices
and therefore cannot be reached by a sequence that contains only
finite numbers of indices.
0.1
0.11
0.111
...
Therefore it cannot be removed by removing all finite lines.

In order to proceed, you have to assume a difference between an
infinite sequence of finite unions and an infinite union. But that
will be difficult to explain.

Regards, WM

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