On matters of infinity

This is an invited post
from Perhaps my doppelgänger,
that V is, with a cap on his E,
if you know what I mean.
~
With much enthusiasm,
writes, Mr. Victor,
on matters of infinity,
at barely an age of 20 or so.
~
So here you go,
without much delay,
fresh from the oven,
written by V, with a Cap on his E.
~~~

For you, a preposition,
About Infinities and Infinitesimals;
It is best if you don’t,
Rely on what is natural.
~
So let’s begin with something more orthodox.
Enter: Zeno’s Paradox
In case you don’t know (and I doubt it),
here is a tale of our mighty hero Achilles.
~
Tasked to run a full stadia,
or 176 meters, might I say.
So easy it seems,
for it was a myth among the Greeks.
~
It would take forever though,
For a rule must be observed.
To end, this simple task
Achilles must first run
Half of what is left.
~
This is a sure thing, you may say
But then, to complete the other half
He must do it again, but only
half of what is left, and other steps such as these.
~
“How may our hero end his quest?”
That’s the question: I can hear you ask.
I would like to introduce,
The new super task.
~
Hear, what I have for you,
And think about it for a minute or two
It could be confusing,
But it’s most certainly amusing.
~
If our mighty hero,
In each half mark waits
For a period,
That’s also the half of a given time
(Shall we Say, 2 minutes?)
~
To run the first half, he would wait a single minute
To the second half, he would wait half a minute
To the third half, he shall wait a fourth of a minute
And so on.
~
So my question is this:
If you can perform a fraction of a task
Infinitely fast
And the said task
Has no sure end
Would our brave hero, Achilles
(Mighty warrior that he is,
and a sharp mathematician perhaps?)
Find eventually
His deserved rest ?
~
An excel spreadsheet such as this
might come to your succour.
Good luck mon ami,
in the world of summations and other such things.

###

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