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, I have decided that more of an explanation needs
to be added to the first two.
When I solved the first two of Zeno's motion paradoxes I
stated that infinite anything, that is, 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 what the time frame
is, and no matter how long they speed away from each other, 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 manmade 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 reality.
Even though these two explanations are true, a
statement cannot be made without empirical or logical proof. More of an
explanation must be laid in the foundation in order to make it even less
of a theory and more of a fact.