Math and Zeno

Zeno, pioneer of the dialectic
and reductio ad absurdum,
used his reasoning via paradox to
dispute accepted concepts of
physically observed phenomena.

But were these paradoxes valid
or just basic misconceptions; for
much was not evident at his time and
people had rudimentary notions of
limit, infinity, time, and motion?

Philosophically and practically,
was what the Eleatic concocted
a fundamental flaw in perspective—
as maintained by Aristotle and
modern mathematicians?

The latter try to resolve this
by approaching it another way and
constructing mathematical means to
explain the observed phenomena to
a desired degree of exactness.

The ability to find the value limit that
a series of added half-distances is nearing,
some have claimed, questions whether
there is an actual paradox
in the first place.

But do these savants really
understand the true problem at
the heart of Zeno’s formulation:
the challenge of conceptualizing
how One and Many jive with motion?

© 2024, Kenneth Koziol. All rights reserved.

Math Lesson

Andry has worked for 10 years as a bus driver.
He was 22 when he started this endeavor.
Every morning he wakes up at 5:00.
How long has Andry been alive?

Andry has a one-hour lunch break at noon.
He works until 4:00 p.m. in Saskatoon.
He starts work 2 hours after he awakes each day,
How many hours will he work today?

This morning, Andry had 7 adult male passengers,
13 adult female passengers and the rest were teenagers.
There were altogether 30 passengers,
And 6 of them were female teenagers.
What fraction of the passengers were teenagers?
Are there more female teenagers or male teenagers?

© 1996, Kenneth Koziol. All rights reserved.

1.  10 + 22 = 32. Andry is 32 years old. 

2.  7:00 a.m. to 4:00 p.m. is 9 hours. But 9 hours less 1-hour lunch break is 8 hours. So, Andry’s workday is 8 hours. 

3.  30 – 7 – 13 = 10.  10/30 or 1/3 of the passengers were teenagers. 6 out of 10 teens were female; there were only 4 male teenagers. So, there were more female teenagers than male teenagers on the bus.