On 25 Mrz., 21:35, Virgil <vir...@ligriv.com> wrote:
> > But here is a question that is easier to answer and to > > decide: Does the Binary Tree that contains all rational paths also > > contain all irrational paths? > > That depends on what WM means by a "rational path".
That is a path that represents a rational number in binary. > > If what WM means is a path in an infinite binary tree which has only > finitely many branchings in one of the two directions, any tree with all > possible such paths will also have "irrational" paths as a sort of > "limit path"
So the set of all rational numbers always contains all irrational numbers? Or only some? Or is that a speciality of the Binary Tree?