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Topic: Matheology § 203
Replies: 202   Last Post: Feb 10, 2013 3:34 AM

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 mueckenh@rz.fh-augsburg.de Posts: 18,076 Registered: 1/29/05
Re: Matheology § 203
Posted: Feb 1, 2013 7:35 AM

On 1 Feb., 10:58, William Hughes <wpihug...@gmail.com> wrote:
> On Feb 1, 10:37 am, WM <mueck...@rz.fh-augsburg.de> wrote:
>
>
>
>
>

> > On 1 Feb., 09:35, William Hughes <wpihug...@gmail.com> wrote:
>
> > > On Feb 1, 9:21 am, WM <mueck...@rz.fh-augsburg.de> wrote:
>
> > > > On 31 Jan., 18:44, William Hughes <wpihug...@gmail.com> wrote:
>
> > > > > On Jan 31, 4:34 pm, WM <mueck...@rz.fh-augsburg.de> wrote:
>
> > > > > > On 31 Jan., 16:15, William Hughes <wpihug...@gmail.com> wrote:
>
> > > > > > > > Would you say that a line that is not in the list is in the list?
>
> > > > > > > Nope. But you did.
>
> > > > > > Yes, but for an actually infinite list.
>
> > > > > What actually infinite list?
>
> > > > > Specifically you said
>
> > > > > A potentially infinite list, L,
> > > > > of potentially infinite 0/1 sequences
> > > > > can have the property that every
> > > > > (in the sense of "all from 1 to n")
> > > > > potentially infinite 0/1 sequence
> > > > > is a line of L?

>
> > > > > No actually infinite lists here
>
> > > > And what is your question please? Of course every line between line 1
> > > > and line n is in the list.

>
> > > Let a potentially infinite list, L,
> > > of potentially infinite 0/1 sequences
> > > have the property that every
> > > (in the sense of "all from 1 to n")
> > > potentially infinite 0/1 sequence
> > > is a line of L?

>
> > A potentially infinite list does not contain every whatever in the
> > sense of all. Because a list that in contains all whatevers is actual
> > with respect to these whatevers.

>
> > But of course the list contains every sequence that is a line between
> > 1 and n (including the limits) and therefore contains all these
> > sequences.

>
> Yes, but every does not describe the list but the
> potentially infinite set of potentially infinite
> 0/1 sequences.
>
>
> Let s be a potentially infinite
> 0/1 sequence.

How do you define this sequence? Has it a finite definition?
>
> Does this imply that there is
> a natural number m, such that s
> is the mth line of L-

There are many lists that lack many sequences. For instance the list
0.1
0.11
0.111
...
lacks all sequences with zeros.

Regards, WM

Date Subject Author
1/29/13 mueckenh@rz.fh-augsburg.de
1/29/13 William Hughes
1/29/13 mueckenh@rz.fh-augsburg.de
1/29/13 William Hughes
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