 It is, at first sight, rather curious that the best-developed and most illuminating suppositional theory should place emphasis on uncertain conditional judgements. If we knew the truth conditions of conditionals, we would handle uncertainty about conditionals in terms of a general theory of what it is to be uncertain of the truth of a proposition. But there is no consensus about the truth conditions of conditionals. It happens that when we turn to the theory of uncertain judgements, we find a concept of conditionality in use. It is worth seeing what we can learn from it.