 McCall (2012) classifies the principles he calls Abelard’s First Principle and Aristotle’s Second Thesis (cf. section 2) as connexive principles. In Wansing and Skurt 2018 it is argued that since Aristotle’s Second Thesis and Abelard’s First Principle both involve conjunction, one may think of obtaining motivation for them from the idea of negation as cancellation and from the failure of Simplification as justified by the erasure model of negation. Like the other connexive logics considered in the present section, CCL is a system in which Abelard’s First Principle and Aristotle’s Second Thesis fail to be valid.