Re: Cantor Confusion

On 13 Mrz., 14:15, "*** T. Winter" <***.Win...@xxxxxx> wrote:
In article <1173724460.248046.46...@xxxxxxxxxxxxxxxxxxxxxxxxxxxx> mueck...@xxxxxxxxxxxxxxxxx writes:

Terminating paths.

*Passing* path-bundles.

Those are *terminating* paths. (A path-bundle can be seen as a terminating
path: it is a set of nodes containing a finite number of nodes.)

A path bundle splits off into two bundles which pass said node.
Therefore every set of path-bundles in the tree has a finite cardinal
number

This, in the "limit", may yield an infinite number, but certainly not
an uncountable number without having an intermediate countably
infinite number.

The tree is continuous because its nodes are connected by paths. There
is never more than the factor 2. There are no interruptions possible
and no jumps from "finite" to "uncountable". Your claim would require
that.


Regards, WM


PS: What about the review of chapter 10?


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