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The presuppositions originating from triggering expressions embedded under quantifiers have been crucial test cases both for projection theories of presupposition and for discourse representation theory and dynamic semantics theories. In this paper some of these data are reviewed. The examples are sometimes considered within context, and projection data are discussed, The conclusion about the data differs from previous assessments in the literature. A simple generalization is argued for whichdoi:10.18148/sub/2002.v6i0.830 fatcat:jxsrg4x7wvchlmeg4ayxplkela