I argue that medieval solutions to the limit decision problem imply four-dimensionalism, i.e. the view according to which substances that persist through time are extended through time as well as through space, and have different temporal parts at different times.

In this paper, the author offers an introduction to Marsilius of Inghen’s treatment of expositiones of sentences de incipit and de desinit in his treatise on Consequentiae, with an analysis of the various modi exponendi presented by Marsilius and an edition of the text. The author argues that, in the split between physical and logical approaches to the issues arising in analyses of incipit and desinit, Marsilius’ theory presents some hybrid features, but tends towards the logical end of the spectrum.