A tyrant... is always stirring up some war or other, in order that the people may require a leader.
Let no one destitute of geometry enter my doors.
Until philosophers hold power, neither states nor individuals will have rest from trouble.
Mathematics is the language in which the gods talk to people.
For though a man should be a complete unbeliever in the being of gods; if he also has a native uprightness of temper, such persons will detest evil in men; their repugnance to wrong disinclines them to commit wrongful acts; they shun the unrighteous and are drawn to the upright.
.. we shall not be properly educated ourselves, nor will the guardians whom we are training, until we can recognise the qualities of discipline, courage, generosity, greatness of mind, and others akin to them, as well as their opposites in all their manifestations.