Throughout much of the critique of poetry in Republic X, Socrates exploits a parallel between painting and poetry. I argue there are two distinct methods at work here, the ‘similarity’ and ‘heuristic’ methods. The first uses painting to discover the general definition of mimesis, which is then swiftly applied to poetry. The second describes certain features of painting before using independent arguments to show that these also apply to poetry. That Socrates sometimes uses the parallel in this heuristic way is not new in the literature. My purpose is to be more precise about what these two methods are, when Socrates uses one or the other, and why. At the end of the paper, I argue that the painting–poetry parallel is methodologically very sim...