Re: Approaching the infinite binary tree



In article
<36da9a22-353b-4a59-b222-36c755be8d3f@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
David R Tribble <david@xxxxxxxxxxx> wrote:

Mariano Suarez-Alvarez
You seem to mean by this that you have a last level, the one
indexed by w.


LudovicoVan wrote:
I can drop the "informally": A tree with w levels! What is the problem
with that?

Nothing at all.

However, you have a huge problem if you are saying there
is a level that has index w.

It may make perfectly good sense, depending on your definition of
"tree".
http://en.wikipedia.org/wiki/Tree_(set_theory)


Just one of the many problems this creates for you:
what is the index of the level immediately before level w?

Depending on your definition of "tree", it can happen that "level
immediately before" need not be defined.

--
G. A. Edgar http://www.math.ohio-state.edu/~edgar/
.



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