SummaryMetatheory may be pursuedimmanently, i.e., within the object language, ortranscendentlyin metalanguages. Immanently, the hierarchy of metalanguages gives way to a hierarchy of predicates. The immanent approach accentuates the symmetry between Russell's paradox and Cantor's theorem: class shortage versus predicate shortage. Appeal to metatheoretic models, in defining logical truth, gives way to appeal to substitutions of expressions of the object language. Can this be said also of set‐theoretic truth, despite predicate shortage? Equivalently: is substitutional quantification unscathed by predicate shortage? Anyway substitutional quantification balks at impredicative case