 The first thing to point out about the argument from productivity is that it is an argument in favor of  (C)—global  distributive language-bound compositionality of meaning. As it stands, it provides no reason for believing anything this principle does not entail; in particular it cannot establish  (C\(_{\textit{ref}}\)),  (C\(_{\textit{local}}\)), or  (C\(_{\textit{cross}}\)).  