```Date: Mar 20, 2013 4:40 PM
Author: William Hughes
Subject: Re: Matheology § 224

On Mar 20, 9:31 pm, WM <mueck...@rz.fh-augsburg.de> wrote:> On 20 Mrz., 21:21, William Hughes <wpihug...@gmail.com> wrote:>>>>>>>>>> > On Mar 20, 9:17 pm, WM <mueck...@rz.fh-augsburg.de> wrote:>> > > On 20 Mrz., 21:01, William Hughes <wpihug...@gmail.com> wrote:>> > > > On Mar 20, 8:57 pm, WM <mueck...@rz.fh-augsburg.de> wrote:>> > > > > On 20 Mrz., 20:40, William Hughes <wpihug...@gmail.com> wrote:>> > > > > > On Mar 20, 4:24 pm, WM <mueck...@rz.fh-augsburg.de> wrote:>> > > > > > > I show that every line, that is not the last line, is not needed.>> > > > > > Nope.  You show that it is not necessary for its contents.> > > > > > This is not the same as not needed.>> > > > > Agreed:> > > > > I show that every line, that is not the last line, is not needed to> > > > > remain in the list in order to have its contents in the list.> > > > > Agreed?>> > > > Nope.  It may be needed for something else whose contents are> > > > needed (in this case the tail of the list) to exist.>> > > Please name a line that is needed for the tail of the list to exist.> > > (You do agree that every set of lines has a first element?)>> > We need an infinite number of lines.> > Choose lines 3,4,6,7,8...> > Then line 3, being one of the needed set chosen is needed.> > Note, that we do not have to choose line 3, so line> > 3 is not necessary.>> Then choose a line that is necessary.As I have said before, there is no line that is necessary.This does not mean a set that needs to contain aninfinite number of lines does not contain a line.> If you say you need an infiinite set of lines, then there must be a> first one that is needed.Indeed, but we do not know its identity until after wehave chosen an infinite number of lines.> Remember: A line is needed if its absence> changes the set of numbers of the list.Nope, this is the definition of a line beingnecessary. A line is needed if it is oneof the needed number of lines that waschosen.A set of needed lines exists.A set of necessary lines does not.
```