 The assumption in  (27)  that the speaker must be opinionated about the conjunctive statement is however problematic. Given that the use of or implicates that the speaker doesn’t know which, why should there be any pressure to think that the speaker would know both if it were true? A number of authors have indeed argued that Gricean implicatures are always epistemically modalized: so in  (27)  only the proposition that the speaker doesn’t know that Mary is patriotic and quixotic is derivable by Gricean means contra the predictions of the classical formalisation of Gricean implicatures of Gazdar (1979) (see Soames 1982: 521 and Horn 1989: 543). Many other attempts to formalization of (variations) of Gricean reasonings have been proposed in the literature, including Horn (1984) but also the more recent Sauerland (2004), van Rooij and Schulz (2004) and Franke (2011). All these formalizations assume a truth-functional analysis of disjunction and other connectives, as the baseline for the pragmatic reasoning. In what follows we will discuss recent developments in linguistic analysis of disjunction, including also challenges to a Gricean pragmatic view.