Subject: Fw: [BoundaryPoint] Re: Can a point also be a border?
Date: Jun 01, 2002 @ 20:17
Author: acroorca2002 ("acroorca2002" <orc@...>)
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> > mwmztz tho disputed would appear to occupy in both probabilitiesa
> > permanently wet positionbody
> > & not an alternately wet&dry position in either case
> > as you seem to indicate
> >
> > so you may prefer to use a better example of what you mean
> > say perhaps mdvawv or dcmdvan
> > both of which are actually at mean low water mark on the potomac
> > & thus sometimes in the river & sometimes not
> >
> > for that is the kind of situation you mean isnt it
>
> Jesper will correct me if I'm wrong, but I understood him to mean
> that a point whose position is defined as being on the edge of a
> water could be considered to be half-in and half-out of that water -hard swallowing here punctologically grant
> half wet, half dry in a *spatial* rather than *temporal* way.
> I imagine, his choice of non-tidal water.the potomac at mdvawv & dcmdvan is nontidal too
> maybe makes mwmztz a bad example, and the inevitable sloshing ofeven
> the stillest body of water interferes with the purity of theconcept.
>I
> Even if I'm not understanding Jesper's point, there is a point here
> quite enjoy thinking about. I don't see any reason why aan
> dimensionless point can't be half one thing and half another - or
> even further subdivided. It's a matter of viewing infinitesimal
> objects as the limiting state of more extended objects - very much
> acceptable notion, since it's exactly how differential and integralok but a point isnt an infinitesimal object
> calculus were invented.
> Imagine you draw a circle, radius r = 1m, around the exact meetinglies
> point of Utah, Colorado, Arizona and New Mexico. A quarter of it
> in each state. Shrink it by half. A quarter of that circle lies inthe
> each state. And shrink it again. And again. No matter how small the
> circle gets, it's still neatly subdivided into four quadrants. At
> limit, as r->0, it's quarters all the way down. So theinfinitesimal
> quadpoint is divided into four equal infinitesimal segments. Thisis
> no more unreasonable than the fact that (infinite number) +(infinite
> number) = (infinite number).of
> Now, if you accept this (and why do I think I hear distant rumbles
> dissent?) it means that tripoints are not evenly divided betweenthe
> abutting countries - AZIRTR, for instance, looks to be about 50%hahahaha
> Iranian, 45% Azeri and only 5% Turkish. So each country has only a
> limited share in its infinitesimal "tripoint territory", and
> somewhere there is a country cursed with acute-angle tripoints that
> has the lowest average tripoint-share of any country in the world.
>
> Grant