 Adding ex contradictione quodlibet to system C has a trivializing effect, and adding the Law of Excluded Middle to C does not result in a logic that has positive classical propositional logic as a fragment. However, if implications A → B are understood as material, Boolean implications, then a separate treatment of falsity conditions again allows introducing a system of connexive logic. The resulting system MC may be called a system of material connexive logic. The semantics is quite obvious: a model M is just a function from the set of all literals, i.e., propositional variables or negated propositional variables, into the set of classical truth values {1, 0}. Truth of a formula A in a model M (M ⊨ A) is inductively defined as follows: