 The second half of (27) contains (at least) two presupposition triggers: the definite description “her holy underwear” and the aspectual verb “give up”, which trigger the presuppositions that Geraldine used to have and wear holy underwear, respectively. Karttunen’s filtering condition for disjunctions removes from the right disjunct any presuppositions that are entailed by a combination of the context and the negation of the left disjunct. Now consider a context supporting the proposition that all mormons have holy underwear which they wear regularly. It follows from this proposition and the negation of the left disjunct, i.e., the proposition that Geraldine is a mormon, that Geraldine has holy underwear and has worn it regularly. But these are exactly the presuppositions triggered in the right disjunct, so they are filtered out. It follows that (27) has no presuppositions.