On Jun 14, 8:26 am, WM <mueck...@rz.fh-augsburg.de> wrote: > On 14 Jun., 14:01, William Hughes <wpihug...@hotmail.com> wrote: >
Your claim is that "no possibility exists to construct or to distinguish by one or many or infinitely many nodes of the tree another path."
> > > > Assuming infinite paths exist: > > > The path p is in the tree > > > The path p can be distinguished from > > every element of P. >
> For every path p_n of P there is a digit such that p differs from p_n. > But there is no digit of p that differs from every path p_n of P > because, if p exists as binary representation, then p is the union of > all p_n and as such cannot differ from the union. >
The statement says nothing about p being distinguished from the union of all p_n, the statment says that p can be distinguished from every *element* of the union of all p_n. Do you wish to repudiate your repeated agreement to
The path p can be distinguished from every element of P
> > > > You refuse to agree to > > > Assuming infinite paths exist: > > > There is a path p in the tree that can > > be distinguished from every element of P. > > > Until you explain this, no other argument as > > to why you refuse to accept this statment > > will be considered. > > It is obviously impossible to distinguish p from all paths p_n that > are in the binary tree after construction has been completed. >
Indeed. However, the statement is not about distinguishing p from paths in the tree, it is about distinguishing p from paths in P.