In article <firstname.lastname@example.org>, WM <email@example.com> wrote:
> On 15 Jan., 08:23, Virgil <vir...@ligriv.com> wrote: > > > > But here is the list: All finite initial segments of all decimal > > > expansions are included. > > > > That is not a list. > > The set is countable. There exists a bijection with |N. So list- > fetishists should be able to set up a list of that set.
Your set is not a list until that bijection, or at least a surjection, from |N to your set has been explicitly established, at which point an antidiagonal which is not listed can be shown to exist. > > > And for paths in a Complete Infinite Binary Tree, > > decimal expansions are totally irrelevant and contra indicated. > > A Binary Tree contains binary expansions. But in the list usually > decimal expansions are used.
Not in binary trees. One can represent paths in a binary tree by infinite binary sequences, but a bijection between the set of all binary paths and the set of all decimal sequences is considerably more complicated > > Regards, WM > > Regards, WM --