Celebrating our mathematical thinking

Snake chasing its tail

  • How big is infinity? Can you hold it in your hands?
  • Song based on comments by elementary school teacher candidates exploring infinity on an online math-for-teachers course.
  • Written by George Gadanidis. Performed by Ryan Casselman
  • get the mp3 file

What is infinity, you might ask
It goes on and on, it's never ending
Like a snake chasing its own tail
It can't be measured, or fit in a Gym
It's boundless, and never with the eye seen
It's not something that you can touch

But you say you can hold it in your hands
This is NEW to me, I'm so confused
Then I see a child, shading half of a square
And half of a half, and half of a half of a half
On and on and on, all fitting in the square
Not escaping, not spilling over

Now I get what William Blake meant
To see a world in a grain of sand
And a heaven in a wild flower
Hold infinity in the palm of your hand
And eternity in an hour
And eternity in an hour

 

To watch infinity work in the opposite order
Getting smaller and smaller and smaller
It took me a few moments to grasp
Like a child, my imagination open
To mystery and to discovery
Infinity can be big and it can be so small

Now I get what William Blake meant
To see a world in a grain of sand
And a heaven in a wild flower
Hold infinity in the palm of your hand
And eternity in an hour
And eternity in an hour

What is infinity, you might ask
It goes on and on, it's never ending
Like a snake chasing its own tail
Infinity is big, so very, very big
But it can also be tiny and small
So small I can hold it in my hands