Mill's argument about utilitarianism comprises five chapters. His first chapter serves as an introduction to the essay. In his second chapter, Mill discusses the definition of utilitarianism and presents some misconceptions about the theory. The third chapter is a discussion about the ultimate sanctions (or rewards) that utilitarianism can offer. The fourth chapter discusses methods of proving the validity of utilitarianism. In his fifth chapter, he writes about the connection between justice and utility and argues that happiness is the foundation of justice.