 As the characteristic connexive principles exhibit an implication and a negation connective, it is not very surprising that connexive logic can be approached also from considerations on the notion of negation. Two different perspectives emerge with the ideas of negation as cancellation (erasure, neutralization, or subtraction) and negation as falsity. Negation as cancellation is a conception of negation that can be traced back to Aristotle’s Prior Analytics and is often associated with Strawson, who held that a “contradiction cancels itself and leaves nothing” (1952, p. 3). Routley (1978, Routley et al. 1982), Routley and Routley 1985, and Priest 1999 use the notion of subtraction negation to motivate connexive principles. Routley and Routley (1985, p. 205) present the cancellation view of negation as follows: