 An anonymous treatise De arte obligatoria probably from the 1330s (edited and translated from a Merton College manuscript in Kretzmann &amp; Stump 1985) seems to develop a central aspect of Kilvington’s suggestion into a complete set of rules for obligational disputations. Just like Kilvington, the anonymous author thought that in an obligational disputation the order of the propositions ought not influence the answers. The core change to Burley’s rules is that rules 5. and 6. above are revised so that instead of referring to earlier answers, they must refer to propositions which would be true if the positum was true. Thus, a proposition must be granted as sequentially relevant, if it follows from the positum together with a proposition that would be true if the positum were true. Similarly, it has to denied as incompatibly relevant if it is incompatible with the positum together with a proposition that would be true if the positum were true. The result is that all answers must be given “in accordance with how it is possible for things to be”, or “on the basis of the facts then”, as the anonymous author puts it.