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Infinity 101

This song was created for Game of Bands round 101 : "101 Courses"

Lyrics:


INFINITY 101

VERSE1
Tell me, what is infinity?
Some think it's a godly conception
Unbounded creation of divinity
But maybe it was from man's inception

CHORUS
Don't be afraid of infinity
There's always more vastness beyond, oh no
The eternity is forever endless
Limitless, perpetually long

VERSE 2
Infinity comes in flavors
some countable, others not
and some infinites are greater
Which can lead to a paradox

BRIDGE
We take you to Hilbert's Hotel
with infinite rooms; they're all occupied
An unfortunate traveler
Well, he needs a room, he is denied
The traveller knows what to do
Room 1 moves to room 2 and so on
So which infinity's bigger?
The rooms or the number of guests?

CHORUS
Don't be afraid of infinity
There's always more vastness beyond, oh no
The eternity is forever endless
Limitless, perpetually long

-----------------
original version: (trimmed for editorial/production reasons)

INFINITY 101

VERSE1
What is infinity (?) [echo]
Some think it's a godly conception
Unbounded creation of divinity
But maybe it was from man's inception.

CHORUS
Don't be afraid of infinity
There's always more vastness beyond
The eternity is forever endless
Limitless, perpetually long

VERSE 2
Infinity comes in flavors
some countable, others not
and some infinites are greater
Which can lead to a paradox

CHORUS

BRIDGE
We take you to Hilbert's Hotel
With infinite rooms; they're all occupied
An unfortunate soul is traveling
And a room -which he needs- is denied
So the traveller thinks of a solution
The person in room 1 shall move to the next
and room 2 moves to 3, so on and so forth
In room 1 now the traveller rests!
So which infinity's bigger?
The rooms or the number of guests?
They are infinite, as we had just figured
But they're the same size as Cantor attests!

CHORUS

VERSE
But some infinities ARE definitely bigger
Like real numbers vs. all integers
For irrationals cannot be counted
No cardinal pairing for us
.
CHORUS

Ends

[Exit]

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