Solving Zeno's Paradoxes
The starting point from which Zeno's paradoxes will be
solved is from the premise that motion exists. And the facts will be
built around this premise and the premise will be proven to be true.
From this point forward it will be shown that, in
actuality, Zeno's Paradoxes are not paradoxes, but rather proofs of
significant importance, which will uncover new concepts needed to
solve the paradoxes. Two of the new concepts will hereinafter be
known as "Ispace," which is zero dimensional, imaginary space (it is
the mind's imagination—a window of infinite proportions), and
"Tspace," which is three dimensional space where all things real
exist.
Since the mind's imagination can create almost
anything, including contradicting ideas, this essay, then, will be
limited to Zeno's imagination and his paradoxes.
It has to be understood that Zeno, whether or not he
realized it, was producing his paradoxes in Ispace and not in three
dimensional reality. It would have been impossible for him to have
created his paradoxes in Tspace where infinite distance cannot exist
between two objects. Logic tells us that it doesn't matter how far
apart two objects have moved in three dimensional reality, an
infinite distance can never be reached between them. Since this
logic cannot be refuted, it will be known as a fact.
It is also a fact that a person can create anything
with the imagination of the mind, but that which is created in the
imagination is not always true in three dimensional reality.
The entire process involved in the solution of Zeno's
paradoxes evolves from the aforementioned fact. "An infinite
distance cannot exist between two objects in three dimensional
reality."
Proof #1: Zeno's paradoxes are not paradoxes. Rather,
they are PROOFS. By dividing the distance to be traveled into half
of half of half—ad infinitum, the paradoxes prove that Zeno's
distance between any two points, in his Ispace, is infinite. Since
the space between point A and point B is infinite, it can be
realized that this space, in Zeno's Ispace, has no measurable
distance.
Proof #2: If Zeno's Ispace cannot be measured, then it
has zero dimensions. It is understood that only measurable objects
have dimensions.
And from this we derive the definition of Zeno's Ispace to
be zero dimensional, imaginary space. It is strictly Zeno's
imagination.
