This vignette argues that Chomsky’s Problems of Projection (PoP, 2013, 2015) are entirely consistent with the label-free syntax initiated by Collins 2002 and further explored in Seely 2006, in deriving the effects of labels from independently motivated principles. Although PoP refers to labels and a “labeling algorithm,” in fact there are no labels in Chomsky’s framework. Rather, PoP offers a novel, and elegantly simple, answer to the question of how the effects of labels can be derived without appeal to any special (and stipulative) label-projection mechanism. With respect to categorial identification of a syntactic object at the interfaces, label information in PoP is provided by (i) irreducible features of lexical items and (ii) third-factor, hence freely available, Minimal Search. Merge, the most fundamental operation of the narrow syntax, is thereby simplified by eliminating the label-projection component, allowing just binary set formation: Merge(X, Y) = {X, Y}.