 While earlier commentators doubted that Theophrastus ever considered anything of the sort (see Bocheński 1947), recent scholars have maintained that he studied such arguments, or at least that he studied arguments which can be regarded as their forerunners (see Barnes 1985; Mignucci 1998; Bobzien 2002, 2004). More specifically, our sources report that Theophrastus and Eudemus, being inspired by Aristotle’s syllogisms “from a hypothesis” (ex hupotheseōs: Prior Analytics 1.44), discussed “hypothetical” (hupothetikoi) syllogisms, i.e., arguments at least one of whose premises is hypothetical, that is a proposition compounded of at least two propositions. Theophrastus’ hypothetical propositions mark either a connectedness or a separateness, i.e., they are either conditional or disjunctive propositions (with exclusive “or”), and his hypothetical syllogisms have the following forms (frs. 111–112 FHS&amp;G):