  One feature of the lexical approach which is worth highlighting is that it sets apart the case of category mistakes from other instances of presupposition failures: clearly, it is not the lexicon that tells us whether John used to smoke, and hence whether ‘John stopped smoking’ suffers from presupposition failure. This can be seen either as a disadvantage of the approach (because it does not assimilate category mistakes smoothly into the more general theory of presupposition) or as an advantage (because it might help explain what is distinctive about the infelicity associated with category mistakes).