In article <email@example.com>, WM <firstname.lastname@example.org> wrote:
> On 12 Jan., 12:45, Zuhair <zaljo...@gmail.com> wrote: > > On Jan 12, 11:56 am, WM <mueck...@rz.fh-augsburg.de> wrote: > > > > > Matheology § 191 > > > > > The complete infinite Binary Tree can be constructed by first > > > constructing all aleph_0 finite paths and then appending to each path > > > all aleph_0 finiteley definable tails from 000... to 111... > > > > No it cannot be constructed in that manner, simply because it would no > > longer be a BINARY tree. > > No? What node or path would be there that is not a node or path of the > Binary Tree? This is again an assertion of yours that has no > justification, like many you have postes most recently, unfortunately.
Your claim that there are only aleph_0 possible tails is falsified by the Cantor diagonal argument:
Any listing of those tails as binary sequences allows the anti-diagonal constriction of a tail not listed. and if you cannot list them, you have no proof that they are only countable in number. --