In her feature article, Mandler (this issue) suggests that before their first birthday, infants begin to redescribe perceptual information (i.e., to analyze and recode per- ceptual input into a new format), allowing them to discover the conceptual catego- ries that support inductive inference. In this commentary, I accept Mandler’s evidence indicating that infants detect some categories in which the exemplars do not share a perceptual resemblance, but I question her claim that these early emerg- ing categories indicate that infants understand the conceptual basis for these cate- gories. The presence of a shared response to a set of dissimilar events does not necessarily imply higher order cognition about those events. I also question Mandler’s claim that conceptual categories emerge primarily through a process of redescription. Redescription is unlikely to reveal underlying similarity unless something demarcates a group of objects or events as belonging together, a situa- tion I label established equivalence.