What is philosophy? And what good is it for? How are these questions related to what is studied in philosophy courses at university? I argue that doing philosophy - philosophizing - is both the origin and the heart of what philosophy is. As a result, the methodology involved in Philosophy for Children (P4C) counts as philosophy, and shares important similarities with what academic philosophers do. I go on to argue that doing philosophy aims at achieving truth, understanding and a good life, aims shared by P4C but not always by philosophy courses. I conclude by reflecting on what studying philosophy can and could achieve.