1. Plato's Allegory of the Cave describes prisoners chained in a cave seeing only shadows on the cave wall from a fire behind them. One prisoner is freed and sees the real world, finding it hard to adjust. The allegory represents the soul's journey to understanding.
2. Aristotle discusses how Pythagoreans treat principles like numbers as explanations for nature but don't fully explain natural phenomena.
3. For Aristotle, every action aims at some good. Politics aims at the good of man and the city, making its ends the most complete. The inquiry aims to determine the highest good and best life.