In Philosophy a paradigm means distinct set of concepts or thought patterns, including theories, research methods, postulates, and standards for what constitutes legitimate contributions to a field.

Basically, you need to write down the ideal and non-ideal states of both Plato and Aristotle. Both have created an ideal and non-ideal states.

You need to go in detail about the Philosopher-Kings, guardians, money-lovers, constitutional types, concept of justice, value of ideas, communism introduced by Plato etc. There are lots of points upon which you can write about.