Republic IX 583c-585a presents something surprisingly unusual in ancient accounts of pleasure and pain: an argument in favour of the view that there are three relevant hedonic states: pleasure, pain, and an intermediate. The argument turns on the proposal that a person's evaluation of their current state may be misled by a comparison with a prior or subsequent state. The argument also refers to `pure' and anticipated pleasures. The brief remarks in the Republic may appear cursory or clumsy in comparison (...) with the Philebus , but this appearance is misleading. Rather, they are part of a neat dialectical argument against a potentially troubling set of opponents. Socrates' use of a topological analogy at 584d3-585a7 rounds off this section by clarifying and illustrating his position, preparing the ground for the final explanation of the pleasantness of the philosophical life at 585a-587c. (shrink)