In article <80497fb0-50fe-4646-8480-5b5d2379ceb2@n13g2000vbv.googlegroups.com>, WM <mueckenh@rz.fh-augsburg.de> wrote:
> On 17 Okt., 22:01, Virgil <vir...@ligriv.com> wrote: > > In article > > <a864f0eb-7bc3-47ac-bec6-742c42313...@t10g2000yqd.googlegroups.com>, > > > > WM <mueck...@rz.fh-augsburg.de> wrote: > > > An infinite triangle is infinite. > > > > You have yet to produce an infinite sequence of finite triangles that > > remained triangular in the limit. > > Not necessary to prove, because identical sequences have identical > limits (not vice versa - but the former is true in mathematics).
But the underlying sequences, as sets of points or characters, are not identical, since they are distinct sets of objects lined up between two particular end objects, and those end objects must exist for the sequences to exist.
And in the limit at most one of those "end" objects can possible exist, so there can be no such "in betweens" existing either.
