 There is much in common between the restrictor-view of conditionals and the suppositional view. A supposition also restricts one’s claim to the case in which the antecedent is true. The strength of your conditional belief is measured by how probable you judge the consequent, on the assumption that the antecedent is satisfied; and this is not the same as thinking a conditional proposition is probably true. Recall Lewis’s remark about “the probability that … if”. Kratzer’s treatment of modal conditionals may be seen as a generalization to other modalities of this treatment of “Probably, if \(A, C\)”. 