Date: Jul 3, 2013 3:06 PM
Subject: Re: Matheology � 300
In article <firstname.lastname@example.org>,
> On Wednesday, 3 July 2013 09:54:03 UTC+2, Virgil wrote:
> > In article <email@example.com>, Ralf Bader <firstname.lastname@example.org>
> > > Yes, but I think the basic issue is different. Mückenheim's requirement
> > > "find two of them [the d_n's above], which are not in the same line"
> > > would
> > > be appropriate if there was a maximal d_n. That is the case in the finite
> > > realm, but not necessarily in an infinite context. Mückenheim somehow
> > > seems
> > > unable to grasp this feature of infinitely ascending chains. This is a
> > > psychological matter, and as such I consider it to be of some importance.
> > > Are there human beings which are principally unable to conceptualize an
> > > ascending countable infinity without maximal element? That is, a kind of
> > > colour-blindness about that notion. Much of mathematics would be
> > > inaccessible to those people. They could talk about it in a really
> > > formalistic way just as colour-blind people can talk about colours, and
> > > even
> > > the emotional qualities which may be associated with colours, but they
> > > can
> > > not gain any experience of these qualities of their own. It is another
> > > point
> > > that Mückenheim behaves in the way of someone colour-blind who tries to
> > > convince the non-colourblind that their talk about colours is just a vain
> > > phantasy, a habit of associating green with grass and so on, but in
> > > reality
> > > objects don't have colours.
> > You may have nailed it!
> He hit his thumb.
He hit WM's thumb much harder than he hit his own.