On 26 Mrz., 21:00, Virgil <vir...@ligriv.com> wrote: > In article > <6eabd00e-1678-4e4e-8281-22b180dbc...@m12g2000yqp.googlegroups.com>, > > > > > > WM <mueck...@rz.fh-augsburg.de> wrote: > > On 26 Mrz., 00:18, Virgil <vir...@ligriv.com> wrote: > > > In article > > > <ad404888-6726-4aa3-b421-fcc887b93...@7g2000yqy.googlegroups.com>, > > > > WM <mueck...@rz.fh-augsburg.de> wrote: > > > > So the set of all rational numbers always contains all irrational > > > > numbers? Or only some? Or is that a speciality of the Binary Tree? > > > > It is a speciality of a complete binary tree. > > > > It is something that would be fairly obvious to any competent > > > mathematician, which is, no doubt, why it is not obvious to WM. > > > -- > > > I let this stand as it is. > > I should have said a Complete INFINITE Binary Tree.
But I have asked for the Binary Tree that only contains the rational paths. > > There is no Complete INFINITE Binary Tree which can represent all binary > rationals in the interval [0,1]
Of course. But my question is not so easy to answer.