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

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 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: Matheology § 238
Posted: Apr 11, 2013 3:51 PM

On 11 Apr., 20:52, William Hughes <wpihug...@gmail.com> wrote:
> On Apr 11, 8:17 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>

> > On 11 Apr., 19:19, William Hughes <wpihug...@gmail.com> wrote:
>
> > > > So you agree that B implies A.
>
> > > yep, but A does not imply C:  P(d_1,d_2,d_3..)
>
> > That is your interpretation.
>
> One you agree with,

Not at all! It is completely unsensical to limit the number of
removable lines to one.

> C: means that the collection has property
> P.  A: mean that every element of the collection has property
> P. A does not imply C.

Since the collection is removed when every element is removed, and
vice versa, there is not the least reason to distinguish A and C. We
do not need to consider "the collection" at all. We habe every element
and all elements, as you know both completely identical in logic.
>
> Now let P be (can remove the collection without changing
> the union of the remaining lines).  We have there is no
> contradiction in saying A: for all n, the nth line can be removed.

As I said, that is tantamount with C. In order to see that, consider
Cantor's A and B.

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
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4/6/13 Bergholt Stuttley Johnson
4/6/13 Virgil
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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
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