A dilemma has stymied interpretations of the Stranger’s method of dividing kinds into subkinds in Plato’sSophistandStatesman. The dilemma assumes that the kinds are either extensions or intensions. Now kinds divide like extensions, not intensions. But extensions cannot explain the distinct identities of kinds that possess the very same members. We propose understanding a kind as like an animal body—the Stranger’s simile for division—possessing both an extension and an intension. We find textual support in the Stranger’s paradigmatic four steps for collecting (...) a subkind. (shrink)