I love this idea from Clifford Pickover:

“Somewhere inside the digits of pi is a representation for all of us — the atomic coordinates of all our atoms, our genetic code, a coding of our motions and all our thoughts through time, all our memories…. Given this fact, all of us are alive, and hopefully happy, in pi. Pi makes us live forever. We all lead virtual lives in pi. We are immortal.”

It is similar to the whole idea of infinite monkeys typing Shakespeare, but exisiting in a single irrational number.

Pickover’s idea is that we must be immortal, because every moment of our existence, rendered numerically, exists within Pi. The only argument against this is perhaps the universe has aspects that cannot be described with numbers. Prove that, and living in a simulation becomes impossible.