```Date: Feb 1, 2013 8:19 PM
Author: Virgil
Subject: Re: Matheology � 203

In article <eb5eb732-89c0-4009-a071-6ebc4fc40c9e@h2g2000yqa.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:> On 1 Feb., 16:18, William Hughes <wpihug...@gmail.com> wrote:> > 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> > I just gave an example. Do you agree? Or do you think of something> else?> >> > Let s be a potentially infinite> > 0/1 sequence.> >> > Does this imply that there is> > a natural number m, such that s> > is the mth line of L> > ?> > Would you please notice that "all" in the sense of "from 1 to n"> simply means "all lines that are in the list". Of course they are in> the list. Not more and not less. Why the heck should some other,> external line that is not in the list, be in the list?But is the last line in the list? NOTE that a set with a first line and for each line a successor line different from all its predecessors is necessarily ACTUALLY infinite. > > Hint: You try to ask for a 0/1 sequence of the set of all possible 0/1> sequences. My answer is: There is no set of all possible 0/1> sequences. Therefore your question is meaningless in potential> infinity.But still meaningful in standard mathematics, in which a set is either actually infinite or actually finite, but never so neurotic as to be unable to tell which.--
```