In the standard theory of quantification, quantification must be applied into a truth-denoting expression. However, in natural languages, certain expressions allow for interpretations where the quantifier operates over a non-truth-denoting object, yielding readings that involve quantification into a question (QiQ) or a determiner phrase (QiD). This paper offers an analysis that uniformly accounts for both QiQ and QiD, while preserving the conventional assumptions about the semantics of quantifiers, questions, and DPs.