On 28 Dez., 23:04, Virgil <vir...@ligriv.com> wrote: > In article > <2925a2ea-c16d-483e-91da-3bb0084e7...@b16g2000vbh.googlegroups.com>, > > WM <mueck...@rz.fh-augsburg.de> wrote: > > On 27 Dez., 21:49, Virgil <vir...@ligriv.com> wrote: > > > > > It is the set > > > > of all finite paths extending from the root node to a given node. > > > > In every Complete Infinite Binary Tree, every finite path ends at the > > > root node of of another Complete Infinite Binary Tree. So for every > > > finite path, there are uncountably many extensions of it in every > > > Complete Infinite Binary Tree. > > > And every extension is contained in the CIBT constructed from all > > finite paths. > > Claimed but never proven.