“Math is based
around an illusion of existence. The numbers we use are nothing more
than symbols that we’ve assigned meaning to. The lines that we draw
and the structures that we build are nothing more than a series of
points…Can anyone tell me the definition of a ‘point?’” Mr.
Caudnate addresses his fifth period Calculus class. The nine
students—spread-out amongst a square of sixteen chairs—in front
of him grow silent. A smirk forms upon his face as he stares at his
pensive pupils. “There is no definition,” he states
matter-of-factly. “A ‘point’ is a place-holder representing a
specific location of space, a location which has no dimensions—depth,
width, length. If you zoom in on any point, it will never grow or
change, it will simply exist as a virtual place-holder and nothing
more.”
“Wouldn’t
having no dimensions mean that it doesn’t exist?” asks a boy from
the second row. The other teens shift their attention to his
accusation. “An object that has no definition in this world must be
non-existent, right?” Mr. Caudnate smiles once more.
“Yes,
but it is the non-existence that allows it to exist at all. For
something to exist, it must also not exist,” the teacher states
with ease.
“But
how can something that does not exist…exist?” A confused look
spreads across the boy’s face, while sighs of annoyance come from
the other, bored students. “If I imagine that I have wings coming
out of my back—wings that don’t exist—does that mean that they
exist?”
“To
you, they will.” The boy is stunned. “As I said, we give meaning
to that which only exists for our minds. It is because we believe
that it exists.” The period bell rings. “Okay, that’s enough
for today, I guess. Remember the quiz tomorrow on methods of
integration. Have a good day everyone.”
“Finally…”
a student grumbles behind the boy.
“I
thought he’d go on forever,” whispers another.
As
the rest of the class exits into the cluttered hallway, the boy walks
up to his teachers, textbooks in hand. “If the meaning we give
makes something real,” the boy asks, “how do we know that all of
this isn’t just a dream?”
“We
don’t.” Mr. Caudnate laughs. “That’s what makes it so fun.”
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