Epiphanies.
I've often puzzled over the irreducible nature of Pi.
Then I had that little flash, light-went-on in my head, Pi - by it's nature describing the relation of the circumference to the diameter, is an irrational number that somewhere within it contains all other numbers. All possibilities, all realities are compassed within Pi, hence it must be irreducible, it is infinite and unbounded.
And it's corollary, the symbol of infinity, an 8 on it's side - ∞ - is simply a circle warped into 3 dimensions. As writing must by it's nature reduce something to 2 dimensions we have the explanation.
The simple things. Math would have been a lot easier had we just gotten to the point.