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Do Points
Have Area? Volumetric Points Subject: Reply to Do Points Have Area? Author: Jesse Yoder < jesse@flowresearch.com> Date: 22 Jan 98 14:08:14 -0500 (EST) Hi Kirby - You said, beginning with a quote about dimensionless points:: ">points. Mutiplying 0 by infinity still equals 0. As far as I can see, >this remains an unresolved problem for Euclid's Axiom One (definition >of point), and I believe that ascribing area to points is the only way >around it. > At the risk of being redundant, I'd prefer to ascribe volume to points, 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: Boy, am I glad you said that! I think that volume is a good way to go, if you are operating in 3-dimensional space. This makes the Points into small Spheres or Balls. For the most part, I have confined my discussion to the 2-dimensional plane of circles, rather than the 3-dimensional area that involves volume. I can avoid your issues about "pancake Points" by ascribing height to planes. But in general, once we switch to 3 dimensions, points become Spheres and hence have volume. I'm sorry I can't really follow the rest of your comments relating to an isotropic matrix or lattice, although it sounds like you are suggesting some type of link between geometry and physical theory. If I sometimes don't respond to your comments, it's only because I haven't mastered the language of your Fullerian geometry. Jesse
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