Date: Apr 4, 2013 5:19 PM
Author: fom
Subject: Re: Matheology § 224
On 4/4/2013 3:48 PM, WM wrote:

> On 4 Apr., 21:01, William Hughes <wpihug...@gmail.com> wrote:

>> On Apr 4, 8:22 pm, WM <mueck...@rz.fh-augsburg.de> wrote:

>>

>>

>>

>>

>>

>>> On 4 Apr., 19:40, William Hughes <wpihug...@gmail.com> wrote:

>>

>>>> On Apr 4, 6:43 pm, WM <mueck...@rz.fh-augsburg.de> wrote:

>>

>>>>> On 4 Apr., 18:21, William Hughes <wpihug...@gmail.com> wrote:

>>

>>>>>> On Apr 4, 5:19 pm, WM <mueck...@rz.fh-augsburg.de> wrote:

>>

>>>>>>> On 4 Apr., 16:08, William Hughes <wpihug...@gmail.com> wrote:

>>>>>>> There is no need to say what numbers belong to mathematics - in

>>>>>>> mathematics. There is no need to say what paths belong to the Binary

>>>>>>> Tree

>>

>>>>>> However, you keep talking about two types of paths,

>>

>>>>> Not at all. I talk about sets of nodes that are in the Binary Tree.

>>

>>>> Indeed, and some of these subsets of nodes are paths and

>>>> some are not.

>>

>>> In the Binary Tree there is no stop at any path.

>>

>>>> You talk about subsets of nodes with a last node

>>>> and subsets of nodes without a last node. However,

>>>> you refuse outright to indicate what makes a subset of nodes

>>>> a path (certainly not all subsets of nodes are paths).

>>

>>> All nodes that belong to a finite path, belong to an infinite path

>>> too.

>>

>> Since you refuse to say what makes a subset of nodes a path

>> you cannot claim that a path without a last node exists.-

>

> The construction principle of the Binary Tree (two child nodes to

> every parent node) is obvious. If someone believes that there is a

> difference between the Binary Tree that contains all infinite paths

> and the Binary Tree that does not contain an infinite path, but

> contains all finite paths, he has to define the latter. Good luck!

But, since you confuse the two with such regularity

in your statements that speak of finite paths in a

tree with no finite paths, it is to yourself that that

charitable remark is being given.