```Date: Apr 4, 2013 12:43 PM
Author: mueckenh@rz.fh-augsburg.de
Subject: Re: Matheology § 224

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.> paths with a last node and paths without a last node.> You have to say which subsets of nodes correspond to> paths.Not at all. I have not to say what sequences of digits I use when Iwrite digits. That is just the clue of my proof: In mathematicsnumbers are represented by digits and nothing else. This is also thecase in Cantor's list. When you require further information, then youconcede that your matheology is not only based upon digits but onadditional information that may be given by God but does not belong tomathematics.In mathematics a sequence of digits is infinite, if it does not end.No further information is required. And the paths are infinite in aBinary Tree that contains all finite initial segments of paths.>> Nope, you can form a subset of nodes without a last node> by unioning finite paths.  You have to decide if you wish> to call this set of nodes a path.There is no decision possible. And there is no letter in mathematicsresponsible for expressing that decision. The paths are automaticallyinfinite in the Binary Tree constructed by finite paths only.Regards, WM
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