On 1 Nov., 20:31, Virgil <vir...@ligriv.com> wrote:
> > > In mathematics we are used to distinguish representations of numbers > > by digits or nodes only. > > How about pi, e , sqr(2), and such like, which in most mathematics > represent numbers without being mere digit strings of nodes.
These entities may be, and usually are, called numbers. But they have no complete representation of digits or nodes. The "complete" string of pi is not more than all its finite initial segments. And it is even impossible to determine all finite initial segments of pi other than by one of the numerous sequences and series.
But such finite definitions belong to a countable set.