Subject: Reply to "Reply to Do Points Have Area

Questions for Jesse

Subject:      Reply to "Reply to Do Points Have Area?"
Author:       Candice Hebden <dreamy_aurora@hotmail.com>
Date:         16 Jan 98 15:27:59 -0500 (EST)

Hi Jesse,

	I have two questions about your circular geometry.  On December 18,
you posted

[John Conway]
>"If we're just talking about some purely conceptual space then the
assertions are meaningless until that space is somehow defined.  
Jesse speaks of "circular geometry", in which a "point" is the
smallest unit area, and in other statements he's made it clear
that he thinks of these "points" as little circles and lines
as like strings of beads:  oooooooooooooooooo, in which 
any two adjacent ones touch each other at a point."

[You]
"Response: You seem to understand pretty well what I mean. Here is how
a plane would look, with lots of points;

oooooooooooooooooooooooooooooooooooooooooooooooooo
oooooooooooooooooooooooooooooooooooooooooooooooooo
oooooooooooooooooooooooooooooooooooooooooooooooooo
oooooooooooooooooooooooooooooooooooooooooooooooooo
oooooooooooooooooooooooooooooooooooooooooooooooooo

The above points are circular, solid, and touching horizontally as
well as vertically. I can't draw a solid circle with this email
system. A point, as you say, is the smallest, allowable round unit
area in a system."

	What do you call the area between the points?  Isn't there always a
smaller sized point?

Candice

http://forum.swarthmore.edu/epigone/geometry-research/swenkhartil/i53lox7o60kn@forum.swarthmore.edu

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