Around 500 BC the Pythagorean Society, in the midst of developing their famous theorem, came upon the shocking discovery of irrationality in the form of the square root of two.

Although they tried to keep this information from the public one of its members, Hippasus, leaked it out. Legend says he was not only ostracized by the group but put out to sea and drowned.

Numbers were no longer orderly and divine.
They were messy and unknowable.

Pythagoras' Constant = 1.4142135623730950488...