How to sell a contradiction. The logic and methaphysics of inconsistency (Q2786386)

This book presents, with admirable coherence and full referencing, the development of paraconsistent logic. There are good arguments that the Liar sentence is true, and that it is false. Traditional approaches tried to discredit one or the other; paraconsistent logicians accept that it is both. Immediately we are faced with the ``explosive'' nature of contradictions: that from a contradiction, any statement whatever can be inferred (\textit{ex falso quodlibet}), and hence a system which permits contradictions must reject such inferences or be doomed to triviality. Again, an unrestricted principle of set abstraction would be very attractive did it not lead to inconsistency. Berto summarises paraconsistent systems due to Jaskowski, Rescher \& Brandom, da Costa and colleagues, the relevance logic community, and Graham Priest; and gives some discussion of their applications, particularly to inconsistent arithmetics.NEWLINENEWLINEOne annoying production problem: in many cases (e.g., p. 77) what were intended to be Greek words have been printed as a mish-mash of Latin letters. It is to be hoped that this will be corrected in the second edition of this important book.