On 5 Dez., 08:05, Virgil <vir...@ligriv.com> wrote:
> > This set has, like many mathematical entities, a geometrical and an > > alytical property: > > > 0.1 > > 0.11 > > 0.111 > > ... > > It is a triangle and it is a sequence too. > > While parts of it can be triangular by reason of having 3 finite sides, > the whole of it does not have a third finite side so is not a triangle. > > NOte that to be a triangle, it would also have to have three vertices, > which is not the case.
In mathematics a triangle is defined by one angle and its two sides. If the latter are aleph_0, then the third must be a completed infinity too. As it is not, some elements of this this triangle are not part of mathematics. What about the angle of pi/4? It is part of mathematics. Now a person with some intelligence could infer the rest. Not you, of course.