This book is the first in the field of paraconsistency to offer a comprehensive overview of the
subject including connections to other logics and applications in information processing
linguistics reasoning and argumentation and philosophy of science. It is recommended reading
for anyone interested in the question of reasoning and argumentation in the presence of
contradictions in semantics in the paradoxes of set theory and in the puzzling properties of
negation in logic programming. Paraconsistent logic comprises a major logical theory and offers
the broadest possible perspective on the debate of negation in logic and philosophy. It is a
powerful tool for reasoning under contradictoriness as it investigates logic systems in which
contradictory information does not lead to arbitrary conclusions. Reasoning under
contradictions constitutes one of most important and creative achievements in contemporary
logic with deep roots in philosophical questions involving negation and consistencyThis book
offers an invaluable introduction to a topic of central importance in logic and philosophy. It
discusses (i) the history of paraconsistent logic (ii) language negation contradiction
consistency and inconsistency (iii) logics of formal inconsistency (LFIs) and the main
paraconsistent propositional systems (iv) many-valued companions possible-translations
semantics and non-deterministic semantics (v) paraconsistent modal logics (vi) first-order
paraconsistent logics (vii) applications to information processing databases and quantum
computation and (viii) applications to deontic paradoxes connections to Eastern thought and
to dialogical reasoning.
