Something to consider when studying Euclid mathematics is that questions as "things equal to the same thing are equal to each other' or that "A whole is greater than any of its parts" obvious.
Brain is capable to recognize as a point does not occupy space since it has zero dimension. The question becomes how can a point be located in space? How can a spatial nothing designate one bit of space rather than another bit of space? Something can have a particular location in space only in virtue of occupying some of it.
If we confuse mathematics (geometrical) points with the material means we use to mark them, which are not dimensionless, and so do occupy space, otherwise we could not see them.
Every object created through Euclidean geometry has a space occupied.
If we consider Zeno's Dichotomy Paradox that consider that in order to complete something we need to go through many points or actions as an infinite number of tasks to move. But if we go many times through them, we will not be able to catch or finish on time something. So where is the problems? as the distances are divided into smaller portions, the time taken to cover them falls proportionately.
How do we move faster without going through each step?
Can we move through a non-mathematical space? It seems that mathematics can not describe the space because otherwise we would not be able to move through it as it would took us an eternity to accomplish something.
From Philosophy Now (issue 87)
