 Moreover, there is a conceptual issue concerning the equivalence relation \(R\). Namely, if \(R\) is primarily thought of as a relation encoding indifference, then it is not clear why it should always be an equivalence relation. In particular, it is not clear why \(R\) should always be transitive. The discourse participants could very well be interested in information that distinguishes \(w\) from \(v\), while they are not interested in information that distinguishes either \(w\) or \(v\) from a third world \(u\). To model such a situation, we would need an indifference relation \(R\) such that \(\langle w,u\rangle \in R\) and \(\langle u,v\rangle \in R\) but \(\langle w,v\rangle \not\in R\). This is impossible if we require \(R\) to be transitive.