We will examine some central philosophical questions by studying paradoxes. This will demonstrate that paradoxes aren’t just an intellectual curiosity; that every serious paradox points to a deep philosophical problem, and provides an opportunity for a stimulating engagement with it. We will consider the following issues: scepticism, the prisoner’s dilemma, the rationality of voting, the new riddle of induction, the metaphysics and rationality of emotions, determinism and free will, the possibility of self-deception, vagueness.