RE: The nature of number
July 16, 2012 at 8:07 pm
(This post was last modified: July 16, 2012 at 8:16 pm by Angrboda.)
Geometric shapes are made up of points, which effectively have no dimension. Two points on a geometric object either are the same point or they are not. They either are a part of the line, shape or solid (or hyper-object) or they are not. There is no "infinitely close". (Think of them existing in a space without dimensional units or scale. In such a context, "infinitely close" is the same as "far apart" for some scale.)
(At least as far as I can remember. Been ages since and I was a bad math student then. Still, fun topic. Thank you for starting it.)