“Nothing changes, or moves, and there’s only one thing”,
Said Mr. Perry Mena Dees.
“That's bananas! “It’s bonkers” The Greek chorus would sing.
It doesn’t add up, don’t you see?
But if we’re adding things up, Dee’s friend Zeno replied,
Then let us consider a case
Where a hero, Achilles, no matter how hard he tried,
Still couldn’t finish a race.
Imagine, lets say, that our hero competed
Against a turtle, who as we all know
Is most likely the one who would be defeated
In a race, since all turtles are slow.
But if the turtle were given just a tiny advantage,
Just a head start of a few dozen yards
Then our hero Achilles never could manage
To win, even if he ran hard.
After all, explained Zeno, to win such a sprint
The hero first must travel halfway
And in the time that he took, the turtle’s footprints
Would have carried her further away.
And so it would go, as the hero raced on,
That every time he gained some new ground
The turtle, his foe, would already be gone
By the time poor Achilles came ‘round.
Whenever the hero arrived at the spot
That the turtle had covered before,
The turtle moved on, she still wasn’t caught,
As Achilles tried to exceed her once more.
On and on it would go, forever it’d seem.
So if you think Dee’s wrong and things move.
Your view is strange too, you see what I mean?
And Dee’s claim’s pretty hard to disprove.
Since Dee and Zeno (the Greek Chorus too),
A lot of people have tried to explain,
Why Zeno and Dee and their silly view
Is really a trick for your brain.
The solution, it seems, is an idea that’s strange,
Called infinity, or infinite sums
If he runs fast enough, if his speed stays the same
Our hero can win the race he has run
The reason is tricky, but it surely adds up
Like one half plus, one quarter, one eighth…
If you sum all those numbers, soon enough
Achilles has one in good faith.
But we’d never know why the world is this way
If Zeno and Dee hadn’t asked a good question
And that's why we should thank them, even today
For this strange and exciting digression.
coming soon!