```Date: Dec 8, 2012 5:35 PM
Author: Virgil
Subject: Re: Matheology � 170

In article <49474758-4037-4c42-9b89-0b56235e3b4e@8g2000yqp.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:> On 8 Dez., 09:41, Virgil <vir...@ligriv.com> wrote:> > In article> > <087b4922-8254-4cad-9246-70ea50c79...@a2g2000yqh.googlegroups.com>,> >> >  WM <mueck...@rz.fh-augsburg.de> wrote:> > > On 7 Dez., 22:53, Virgil <vir...@ligriv.com> wrote:> >> > > > > Just that can be constructed by one angle and two complete sides.> >> > > > I note that WM acknowledges that those sides are required to be> > > > COMPLETE, But in his example they are not, since they both lack> > > > endpoints at their other (not in common) ends.> >> > > Interesting. But you believe that the natural numbers form a complete> > > set without an endnumber?> >> > The naturals have only one 'end number' that is itself a natural, the> > first.> >> > Every other natural but thate first is between yet other naturals.> >> > So the set is complete as a set,> > And it has a cardinal number. So is the set of lines of my> arithmetical triangle complete and has a cardinal number. But this> cardinalk number multiplied by the unit length is no longer a number?>  The first natural is an end number of the naturals is an end number because it is a natural which precedes all other naturals in the standard ordering. There is no equivalent natural that follows all other naturals is standard ordering. While omega or aleph_0 may be considered as upper bounds on initial sets of naturals, neither is a member of that set of naturals, so is not a terminal member, as required.--
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