On The Role Of Aristotle'S Connexive Axioms In Non-Connexive Logics

In this paper, I investigate the effect of Aristotle's connexive axioms in non-connexive logics. I define two properties of formula schemes Phi(phi):1. pos-reflection: Phi(phi) equivalent to phi2. neg-reflection: Phi(phi) equivalent to inverted left perpendicular phiI then investigate several logics for the reflectivity of Phi(A1)(phi) = inverted left perpendicular(phi -> inverted left perpendicular phi), and Phi(A2)(phi) = inverted left perpendicular(inverted left perpendicular phi ->phi).