Continuum Hypothesis
Words and Music by Stephanie Chou

How many ways to count to infinity? What will you say if you get there?
So many ways to count to infinity. How will you know when you get there?

How many sizes of infinity between aleph null and aleph one? Does there exist an intermediate set? Integers, reals, or are there none?

We are on...the continuum... The space between what’s real, and what you can count How do you feel?

What does it take, to count to infinity? Where is the truth when logic fails?
Give me more sets, in different universes. If you try forcing, it prevails.

Just tell me how to count to infinity, using the axiom of choice.
Can’t prove it’s true, but I can’t prove it’s false. Look at it your way, use your voice.

We are on...the continuum... Tell me what you hear, in this universe So far, yet so near

How do you have faith that for all the questions you ask An answer can be found? The truth is so profound

I can’t prove that in the space there’s nothing in between. I can only show that there’s no way to know I can only show there’s no way to know…

So many sets….integers, real numbers… We’re not there yet…a multiverse of wonders…

How many stars? How many moons? How many proofs? How many tunes?
How do you know? Where do you go? What can you show? How do you feel?

Undecidable…
Unknowable…
Can we get there? Will we get there?

On the continuum...

December 2020 (c) Steph Chou Music/ASCAP