A Note on FDE “All the Way Up”

The logical bases of contradictory Christology: comments on The Contradictory Christ, Ch. 2

“…What does it take to have FDE → ϕ ? It is FDE plus the following conditional: 9 There are many places where he suggests this, but one particularly close to what I am discussing here is [21].…”

“…But he does more than that. He at least sketches some arguments for that assumption, arguments that draw upon previous work by Beall on the topic, such as [5], [6], [7], [9]. Although he has dispatched other options -classical logic, K 3 , LP, S3…”

“…Consider Sylvan's suggestions of strengthening FDE into arrow form with a suitable conditional → ϕ , that is, changing every valid argument of the form A ⊧ FDE B into one of the form ⊧ FDE →ϕ A → ϕ B. 9 The result is depicted as follows:…”