 The phrase ‘necessity of consecution’ could be viewed as Abelard’s formulation of the criterion of necessary truth-preservation (TP), but he seems to demand something more than mere truth-preservation, namely a tighter connection of relevance (exigitur) between the senses of antecedent and consequent (Martin 2004, section II.5). Indeed, Abelard seems to entertain different conceptions of the containment relation (Co) between antecedent and consequent: as a metaphysical (Dial. 255), semantic (Dial. 253), and epistemic (Dial. 255) relation.