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Wh-phrases in English can appear both raised and in-situ. However, only in-situ wh-phrases can take semantic scope beyond the immediately enclosing clause. I present a denotational semantics of interrogatives that na turally accounts for these two properties. It neither invokes movement or economy, nor posits lexical ambi- guity between raised and in-situ occurrences of the same wh-phrase. My analysis is based on the concept ofcontinuations. It uses a novel type system for higher-order continuations to handle wide-scope wh-phrases while remaining strictly composi- tional. This treatment sheds light on the combinatorics of i nterrogatives as well as other kinds of so-called ¯ A-movement.

A Continuation Semantics of Interrogatives That Accounts for Baker's Ambiguity