Paraconsistent logics are logics which allow solid deductive
reasoning under contradictions by offering a mathematical and
philosophical support to contradictory yet non-trivial theories.
Due to its role in models of scientific reasoning and to its
philosophical implications, as well as to its connections to
topics such as abduction, automated reasoning, logic programming,
and belief revision, paraconsistency has becoming a fast growing
area.
During the III World Congress on
Paraconsistency (WCP3) held in Toulouse, France, in July, 2003, it became apparent that there is a need for a Handbook covering the most recent results on several aspects of paraconsistent logic, including philosophical debates on
paraconsistency and its connections to philosophy of language,
argumentation theory, computer science, information theory, and
artificial intelligence.
This book is a basic tool for those who want to know more about paraconsistent logic, its history and philosophy, the various systems of paraconsistent logic and their applications.
The present volume is edited by Jean-Yves Beziau, Walter Carnielli and Dov Gabbay, expert logicians versed in a variety of logics.