 With this machinery, the contents of conjunctions, disjunctions and negations of conditionals are given in the usual way by intersection, union and complements of the contents of the component sentences. When a sentence has two conditionals, with two antecedents, such as those of the form \((A\Rightarrow B) \amp({\sim}A\Rightarrow C)\), their semantics requires not ordered pairs but ordered triples, \(\langle w_i, w_j, w_k\rangle\), such that, if \(w_i\) is actual and \(w_j\) is the nearest \(A\)-world, and wk is the nearest \({\sim}A\)-world, the conditional is true. As it is perfectly proper to give probabiity 0 to the possibility: “I pick right and win, and in the nearest world in which I pick left, I win”, the problem for the previous proposal is avoided.