Zeno's Motion Paradoxes—Essay #2
Paradoxes cannot exist; and therefore, all paradoxes can
either be solved, tucked away in iSpace where they become meaningless, or both.
Today's philosophers recognize four motion
paradoxes created by Zeno. The first two, "The Dichotomy
Paradox" and "Achilles and the Tortoise Paradox," were
discussed and solved in the essay, "Solving Zeno's
Paradoxes"; but the second two, "The Arrow" and "The
Stadium" were not discussed. I feel it necessary to solve
the second two so as to have addressed all four.
But first, it seems to me more of an
explanation can be added to the first two. Actually I have deduced something
I find interesting, and thus I will add it to the first two paradoxes.
When I solved the first two of Zeno's
motion paradoxes I stated that infinite anything, for example, bits of
matter, quantities of energy, or numbers cannot exist between two
points in three dimensional reality. There are two reasons why.
First, imagine two bits of matter, A and B, speeding away from each
other. Regardless of how long they speed away from each other, nor
how fast, there will never be an infinite measurement nor an
infinite amount of energy between the two points. And it only makes
sense if the two points are speeding toward each other, there cannot
be an infinite distance between them. And second, numbers are a man
made tool, which means numbers do not exist in Nature; therefore, ½
of ½ of ½ ad infinitum cannot describe the distance between two
objects. In Nature, in three dimensional reality, there is simply a
distance between points A and B. The distance between A and B can be
compared to the distance between A and C without using numbers. A
and B can be shorter or longer or equal to the distance between A
and C It's not difficult to understand that the Earth is closer to
the sun than Jupiter. Numbers can be added to the distance as a
convenience of comparison, or as a working tool, but the numbers do
not exist in Nature, or reality.
