Chapter 13 - Glutty theories and the logic of antinomies

Summary

Philosophy, over the last decade, has seen increasing interest in paraconsistent approaches to familiar paradox. One of the most popular approaches is also one of the best known: namely, the logic of paradox (LP)-based approach championed by Priest. This chapter highlights an important predecessor of LP, namely, the logic of antinomies (LA)-based approach championed first by Asenjo and Tamburino, and highlights the salient differences in the logics. The chapter argues that the differences in logic reflect a difference in both background philosophy of logic and background metaphysics. LA is motivated by a material approach to logical consequence combined with a metaphysical position involving antinomic predicates, while LP is compatible with both a formal and material approach to consequence and can be combined with a large host of metaphysical commitments (including few such commitments at all).