Your notion of "infinite" is the issue. Between any two points, there is another point, halfway between them. This continues without end.
> On Jan 27, 2014, at 1:44 AM, Neighbor <email@example.com> wrote: > > If there is an infinite number of points on them and each point is dimensionless (i.e. nothing, having neither breadth nor width) then the sum of infinite points which are nothing will have as sum also nothing