Re: The complete infinite binary tree has only countably many infinite paths, says WM.

On 26 Mrz., 21:32, Virgil <Vir...@xxxxxxxxx> wrote:

In the complete infinite binary tree, which paths does WM claim must
appear more than once?

The complete tree including all paths is constructed by my
prescription (A). Therefore there is no path remaining unconstructed.
If you want to introduce another path like 0.111... or 1/pi, then you
see that you do not pave a new path.

All paths simply do not fit into the tree.

And where do those alleged paths that don't fit come from, WM?

Since all paths are suitable sequences of edges, they are all
necessarily IN the tree.

Of course, they are all in the tree constructed by and containing
nothing but a countable set of paths.

Regards, WM
.

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