Date: Mar 1, 2013 4:56 PM
Author: Virgil
Subject: Re: Matheology � 222 Back to the roots

In article 
<dcc0a841-b24c-4aba-beac-1358c76920a6@h11g2000vbf.googlegroups.com>,
WM <mueckenh@rz.fh-augsburg.de> wrote:

> On 28 Feb., 22:14, Virgil <vir...@ligriv.com> wrote:
>

> > WM confuses those names with the things named.
>
> No.

> >
> > One, two three, and so on, are names .
> >
> > Ein, Zwei, Drei, und so weiter, are different names but name the same
> > things.

>
> There are rules according to which different names can be put together
> to form sentences. These rules belong to mathematics.


For the English language such rules belong to the grammar of the entire
language, not merely to mathematics

> There are rules
> according to which different names can replace each other. These rules
> belong to germanistic in the narrower and linguistic in the wider
> sense.
>
> The set of words and symbols and pictures and objects that can be
> exchanged by each other is an idea. This idea can be an object of
> reality called a thing like "three oranges" or a pure idea like
> "three". Ideas that nobody thinks do not exist. Ideas that nobody can
> think of consistently like fairies, unicorns or finished infinity
> exist (as words) but do not belong to mathematics.


Perhaps not in a mathematics limited by WM's germanistics, but that is
far too small a world for the greater mathematics unlimited by WM's
germanistics.
--