 holds in both theories. For both approaches, moreover, the associated logics are semantically interpretable starting from Stalnaker’s possible world semantics. Bradley (2012) builds on the Jeffrey-Stalnaker and McGee approaches to show that for simple conditionals Adams Thesis can be derived by assigning probabilities to pairs of worlds, instead of just worlds. The probability of a pair \((w_0,w_1)\) represents the probability that \(w_0\) is the actual world, and that \(w_1\) is its selected alternative given the antecedent under discussion (note that one needs such probabilities for all potential antecedents). A generalization of this property to nested conditionals is outlined, with philosophical emphasis on the idea that the probability of a conditional does not depend on a single world, but also on the nonfactual relations of counterfactual dependence between worlds.