 The interpretation of the connective is given in terms of support in an information state (rather than truth in a world). For a disjunction to be supported in a state, at least one of the disjuncts should be supported, where an atomic sentence is supported in a state \(s\) iff it is true in all worlds in \(s\). Fig. 1a and b from (Ciardelli and Roelofsen 2011) illustrates how the resulting characterization of the semantic content of disjunctive sentences crucially differs from the classical characterization. These figures assume a propositional language with only two atoms \(p\) and \(q\); world \(11\) makes both \(p\) and \(q\) true, world \(10\) makes \(p \) true and \(q\) false, et cetera.  Figure 1a  depicts the classical meaning of \((p \vee q)\): the set of all worlds that make either \(p\) or \(q\), or both, true.  Figure 1b  depicts the semantic content associated with \((p \vee q)\) in inquisitive semantics. Only the maximal states supporting the disjunction, the so-called alternatives, are depicted. A state \(s\) supports the disjunction if and only if it is included in either of these alternatives. The semantic content of \((p \vee q)\) contains then two alternatives. One alternative is made up of all worlds that make \(p\) true, and the other of all worlds that make \(q\) true.