Date: Feb 20, 2013 7:31 AM
Author: William Hughes
Subject: Re: Matheology § 222 Back to the roots
On Feb 20, 12:37 pm, WM <mueck...@rz.fh-augsburg.de> wrote:

> On 20 Feb., 11:30, William Hughes <wpihug...@gmail.com> wrote:

<snip>

> > A statement you can make is that there

> > is no line of the list with the property

> > that it is coFIS to d.

> > (you do not need every line or every FIS to "actually

> > exist" to make this statement)

>

> You need all FISs of d to make this statement.

No, for each line of L you only need some

of the FISs. For every line you need every

not all.

<snip>

> > Let z be a potentially infinite sequence such that

> > for some natural number m, the mth FIS of

> > z contains a zero.

>

> > Are z and x coFIS?

>

> No.

Is the following statement true

For every natural number n we have

the (n+1)st FIS of the nth line

of L contains a 0.