Celebrating our mathematical thinking

Infinity in my hand

  • Can you hold infinity in the palm of your hand, as suggeted by poet William Balke?

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.

Shade a square One-half
then a quarter
An eighth and a sixteenth
On and on forever
What’s the sum of the parts?
My fractions get smaller
Yet still continue on and on
Can I hold it in my hand?

Infinity is pretty
intangible to me
Annoyingly elusive
and abstract
Something monstrous
or unreachable
I feel unsure, frustrated, overwhelmed
But I enjoy
that it makes me think
Think outside the box

An infinite number of fractions
Can fit in my hand
If I display them
As part of a whole

 

Cut an apple in half
Then the half in half
And the half in half in half
On and on and on
You get apple juice or mush
Eureka, it still fits in your hand

I am far less intimidated now
Infinity does not have to be large
It can be tiny and small
Wow, what a great exercise
I completely changed
How I look at infinity

It’s kind of cool
A very odd pleasure
To physically do something that
Seems mathematically impossible
To hold infinity
in the palm of my hand

An infinite number of fractions
Can fit in my hand
If I display them
As part of a whole