The world has always gone through periods of madness so as to advance a bit on the road to reason.

"Eating crow" is an old expression defined by the Urban Dictionary to mean "When you make a mistake and are forced to acknowledge it humbly".

"Geometry has two great treasures; one is the Theorem of Pythagoras; the other, the division of a line into extreme and mean ratio. The first we may compare to a measure of gold; the second we may name a precious jewel."