 In his attempt to give Aristotelian modal syllogistic a consistent interpretation, Campsall is forced to adopt a very artificial reading of divided modal sentences. He is clearly influenced by the suppositum approach suggested by Kilwardby, but he thinks that both subject and predicate terms should be taken in this way. Furthermore, he states that the terms in divided modal sentences should be taken as standing for that which is now under them. He believes that with these conditions, the conversion rules and almost all of the moods accepted by Aristotle can be shown to be valid.