NOTE_ON_PLATO’S_REPUBLIC,_BOOK VII,_THE_ALLEGORY_OF_THE_CAVE
According to Plato, the unifying principle of change in the universe is such that the Arithmetical over the Geometrical is to the Geometrical over the Astronomical in the same proportion as the Geometrical over the Astronomical is to the Astronomical over the Musical. Such is the proportional unity of Being.
