In article <email@example.com>, firstname.lastname@example.org wrote:
> On Friday, 14 June 2013 21:19:23 UTC+2, Virgil wrote: > > > If you look at the letters, you see that every side is treated equally > > > when extending the triangle. It has three equal sides in every finite > > > step. > > > But the whole of it does. not > > No? Which sides are different?
In mathematics, line segment has endpoints and every ray has one endpoint.. No endpoint -> no sides and no rays
In WM's limit there is a vertical 'ray' and a diagonal 'ray', both identifiable by having a common endpoint but no third side or ray as there are no endpoints for any such third side or ray.
> > WM's "first" limit is not a proper limit at all, as it does not take account > > of ALL the members of the relevant sequences, but always stops with members > > of the sequence still unused. In order to get a proper limit of an infinite > > sequence, one must take into account all infinitely many terms of that > > sequence. > > That's just the limit I talked about. The above formula holds *for all n*
But in WMytheology, there is always a last n in that "for all n". but outside of WMytheology there is not. --