Subject: Reply to "Re: Reply to Do Points Have Area?"
Author: Candice Hebden <firstname.lastname@example.org>
Date: 21 Jan 98 09:06:17 -0500 (EST)
On January 20, 1998
At the risk of being redundant, I'd prefer to ascribe volume to
since your pancake points, if as flat as the ghostly "2D plane" won't
stack to create volume, any more than ghostly "0D points" you
criticize would make a line.
Response: By assigning points area, hence giving lines length, the 3D
can be arrised... with out even giving lines thickness (although I
don't personally believe that lines can really have zero thinckness)
Let me explain:
No matter how much sense it makes, there is nothing that states that
if you lay a bunch of lines together you will have height! But, to
make a cube, you need 12 line segments (which could have zero width)
because of the angles of the line segments, the construction will be
three dimentional! Even though lines with width makes sense, it is
not necessary in order to (visually) construct in the 3D
I can't wait till a new geometry that makes more sense, maybe Jesse
Yoder's circular geometry, but I don't want to disclaim things in
Euclidean geometry yet if they still make some sense!