Peekee wrote: >1) A line must contain at least two distinct coordinates.
"points", not "coordinates". But actually a line by definition contains an infinite number of points. You might also want to make it explicit that the coordinates are Cartesian, if you're going to be doing geometry. >1) Upon a contestant's correct announcement that e is on a line with >at least two other contestants of eir party, This doesn't require that the contestants be at different points. The line (as noted above) has an infinite number of points, whether or not there's anything at those points. -zefram