This chapter provides an overview of how to do political philosophy. It identifies some of the main aims of the discipline, showing that one can make progress with the subject by studying arguments about the justifiability of various public policies. Political philosophers are mostly concerned with exploring the moral claims of an argument, and the relationship between an argument’s claims and its conclusion. It is here that the discipline connects to other parts of philosophy, particularly moral philosophy and logic. This chapter discusses two tools in the practice of political philosophy. One of these involves arranging arguments in clear and organized terms, and the other involves the use of examples and thought experiments in the analysis of moral claims. The chapter then discusses how to employ these tools in the service of a political argument.