Thanks for your detailed response. I agree with you about calculus but I disagree - for whatever it worth - with your statement that "Basically then, in the context of this discussion, motion is possible and exists because we observe it to exist." This is not the point of Zeno's paradoxes.
I will refer to a story that is reported by some ancient Greek philosophers. Zeno, most do not know, was an advisor to Pericles, the man who established Democracy. One day he was giving a speech in the central Agora of Athens, trying to convince people that motion is impossible. When he stated his arguments, the philosopher Antiphon - a real person by the way - got up from his marble sit and started walking up and down in front of Zeno in a silent protest. Everyone laughed. However, by the end of his talk, it was reported that Zeno had convinced everybody in the audience that motion is impossible.
The point is, we observe something we call motion but is this motion in 3-dimensional infinitely divisible space? This is the issue. Sure, we got motion; it is all over the place. But maybe it is not what people think it is. Maybe it is not motion in 3-D space but something like recreation of 3-D space from a higher dimensionality space, a sort of virtual reality.
This is the issue. I think it is a misunderstanding that Zeno said motion is impossible. He specifically limited his argument to infinitely divisible 3-D space with absolute time. In Relativity for example, motion is possible because everything is in eternal motion in a 4-D spacetime, as I attempt to describe in the paper.
Thanks again.
Efthimios