Actual infinities.

[RoadRunner79]

It cannot be distance, because at each point, I have traversed a finite distance.  You have only showed that you can have an actual infinity as an abstract concept, and have not showed any relation to the points traversed. 

This is where we disagree.  The ordinal number of points (that is, discrete elements, call them "epsilon", if you wish) between any 2 points, sums to an actual infinite, if space is continuous.

You got a little snippy, when I didn't answer your question (about one infinity being bigger than another). I'm not going to keep repeating myself. You need to define, what you mean by a point. How do you differentiate one point from another. Can you traverse an infinite number by addition, and if you can traverse from point A to point B in the example. How did you get to B?

I think you need to tie your ideas together, and that when you do, you will find that you have a finite length, and if you define point, that will be finite as well.