Re: Cantor Confusion
- From: Virgil <virgil@xxxxxxxxxxx>
- Date: Fri, 23 Mar 2007 13:50:55 -0600
In article <1174664333.103257.4920@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
mueckenh@xxxxxxxxxxxxxxxxx wrote:
On 23 Mrz., 16:10, "*** T. Winter" <***.Win...@xxxxxx> wrote:
> > Pray define "isolated".
>
> Two path are isolated at level k if they have digits m and n with m =/
> = n at a level i <= k.
So each two non-terminating paths are isolated from each other. And now
what?
Now we see that their number is countable, because there are never
more than countably many paths-bundles including such with only one
path isolated from one another.
Wm sees what is not there and fails to see what is there in a CIBT or
T(oo).
The set of terminating decimals, like the set of path bundles as WM
defines them, is countable, but the set of nonterminating decimals is
not.
.
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