Re: Infinities

Anton Sherwood (
Tue, 18 Nov 1997 21:41:07 -0800 (PST)

Anton wrote
: > Do it the other way. Draw a line through the apex and any point on the
: > longer segment. If the shorter segment contains only half as many points
: > as the longer segment, then half of the time your new line will intersect
: > *no* point on the shorter segment. I think Euclid would disagree.

Wolfkin wrote
: Probably. :) Ok, then, if we do it the other way...
: Why would it "intersect *no* point"? This just seems to mean that
: two different lines *can* be drawn through two points. ;)

Euclid wouldn't like that either, of course. (Nor would Noneuclid,
come to that, unless the two points are antipodal on a sphere.)

Anton Sherwood *\\* +1 415 267 0685 *\\*