Let no one ignorant of geometry enter here.
He who can properly define and divide is to be considered a god.
Numbers are the highest degree of knowledge. It is knowledge itself.
Geometry existed before the creation.
God ever geometrizes.
No nature except an extraordinary one could ever easily formulate a theory.
He is unworthy of the name of man who is ignorant that the diagonal of a square is incommensurate with its side.
Then, my noble friend, geometry will draw the soul towards truth, and create the spirit of philosophy, and raise up that which is now unhappily allowed to fall down.
SOURCE: The Republic, VII. 522-528, “Quadrivium”