I suppose it actually
comes down to theoretical mathematics or physics with regard to how the "border"
is defined. It's true that no existing entity can pass from Colorado to
Arizona without involving New Mexico and/or Utah. But yet, that point
singularity does exist by virtue of the existence of the"real" borders.
But if we're talking apples to apples, a singularity crossing that point
singularity does leave Colorado for Arizona. Maybe we should say that the
point is not a border in the physical world, but is a border as defined by a
mathematical model. Maybe it just comes down that the point is not a
border as defined by shape, but is as defined by concept.
Bill
-----Original Message-----
From: David Mark
[mailto:dmark@...]
Sent: Saturday, April 20, 2002 7:34
PM
To: BoundaryPoint@yahoogroups.com
Subject: RE:
[BoundaryPoint] Re: Can a point also be a border?
But not even one atom, never mind a person, can pass directly
from
Colorado to Arizona without at least part of it going through either
New
Mexico or Utah or both..
David
On Wed, 17 Apr 2002, Bill
Hanrahan wrote:
> Michael, I suppose this may be
over-simplification, but in "traversing" the
> point singularity, one
would leave behind one entity for
> another...therefore, the point would
be a border by definition, regardless
> of its topology.
>
> Bill
> -----Original
Message-----
> From: acroorca2002
[mailto:orc@...]
> Sent: Tuesday, April 16, 2002
9:25 AM
> To:
BoundaryPoint@yahoogroups.com
> Subject: [BoundaryPoint] Re:
Can a point also be a border?
>
>
> yes yes
yes of course a point can be a border
>
> m
>
>
>
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