"galathaea" wrote in news:1172589666.019951.314600
@z35g2000cwz.googlegroups.com:

i began to think that models of space should know only
distance between two existents
that there was no good way to define a space of possible points
without introducing counterfactual existents
and other nonoperational existents
space could only be defined
in terms of properties on collections of existents
and i started simply with two-point distance relations

I'm not sure I see how Galathaean space differs from Euclidean space. He too
begins with 2 points and a distance. His straight line is your d.

We don't get Platonized space until the Cartesian Plane.

Am I missing something?