The term "polyfunctionality" has an extraordinary number of synonyms and near-synonyms in linguistics, e.g. "multifunctionality," "polycategoriality," "conversion," and "zero derivation." In this paper I will present many of these terms and discuss possible differences (for some authors) among them. The paper will thus be a case study in "hypersynonymy," the existence of a very large set of (near-)synonymous terms.