Notes and Study Questions for Republic 474b-480a, 504a-521b
Socrates has just said that philosophers must rule (or rulers must be philosophers) if cities are to be just. He has acknowledged (and Glaucon has reinforced the idea) that this view is likely to be found ridiculous by most people. So Socrates now sets out to show that “the people we mean are fitted by nature both to engage in philosophy and to rule in a city.” (474b) He does so by developing a distinction between knowledge and opinion and by developing his famous theory of forms. (Then he can say that philosophers, who know the forms, have true knowledge, while most people, who know only the many changeable things of the world, have only opinions.) It would probably be helpful to read Richard Norman’s discussion of these difficult ideas (pp.23-26 in The Moral Philosophers).
In the analogies of the Sun, the Divided Line and the Cave Plato illustrates and elaborates his theory of knowledge, of the forms, and especially the form of the Good.