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.

###