This short book review discusses the philosophical appropriation by Plato and Aristotle of the Greek institution, at once social, political, and religious, of theoria, ‘spectating’. Pythagoras was alleged to have classified those who travelled to the Olympic Games as competitors, traders, or spectators: symbolising the pursuit in human life of honour, economic gain, and wisdom. Plato and Aristotle are often taken accordingly to be committed to what is sometimes labelled ‘the spectator theory of knowledge’, with knowledge of ultimate principles construed as non-discursive intuition or ‘instant ocularity’. But the vision they have in mind is actually the ‘seeing’ constituted by grasp of an explanation of how a whole complex of things hangs together, achieved only after much preparatory, exploratory thought.