This article introduces three arguments that share a single conclusion: that a comprehensive science of language cannot describe relations of semantic reference, i.e. word–world relations. Spelling this out, if there is to be a genuine science of linguistic meaning, then a theory of meaning cannot involve assigning external, real-world, objects to names, nor sets of external objects to predicates, nor truth values to sentences. Most of the article tries to explain and defend this broad conclusion. The article also presents, in (...) a very limited way, a positive alternative to external-referent semantics for expressions. This alternative has two parts: first, that the meanings of words and sentences are mental instructions, not external things; second, that it is people who refer by using words and sentences, and word/sentence meanings play but a partial role in allowing speakers to talk about the world. (shrink)