One claim often made about analytic philosophy is that it places great emphasis on clarity of thinking, precision of expression, and rigour of argumentation. But other intellectual virtues that might be considered are creativity, fruitfulness, and systematicity. The Introduction aims to give some sense of the conceptual creativity of analytic philosophy and the bigger picture in which its fruitfulness and systematic ambitions can be appreciated. Analytic philosophy is called ‘analytic’ because of the emphasis placed on analysis. But this just raises the question of what is meant by ‘analysis’, and what forms of analysis are employed in analytic philosophy. This is best answered by considering a range of philosophical questions.