fom
Posts:
1,968
Registered:
12/4/12


Re: Distinguishability of paths of the Infinite Binary tree???
Posted:
Dec 30, 2012 4:46 AM


On 12/29/2012 11:22 AM, WM wrote: > On 28 Dez., 23:04, Virgil <vir...@ligriv.com> wrote: >> In article >> <2925a2eac16d483e91da3bb0084e7...@b16g2000vbh.googlegroups.com>, >> >> WM <mueck...@rz.fhaugsburg.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. > > Definitions need not be proven. > > Regards, WM >
But you said that everything in mathematics had to be named and proven to exist

