Department of MathematicsIndraprastha Institute of Information Technology-Delhi, New Delhi, India
1. The traditional concept of paraconsistency
Hhistory, motivations, different schools; examples of paraconsistent logics.
2. Universal Logic and Paraconsistency
Logical structures; contradictions without negation; generalized explosion principles.
3. Generalized explosion principles
Comparisons between generalized explosion principles with examples of logical structures and logics that distinguish between these principles; partial explosion principles.
References
[1] S. S. Basu and S. Roy. Generalized explosion principles. Studia Logica, page 36, 2024.
[2] J. Y. Beeziau. Universal logic. In T.Childers and O.Majer, editors, Logica’94 - Proceedings of the 8th International Symposium, pages 73–93, Prague, 1994.
[3] G. Priest and R. Routley. Introduction: paraconsistent logics. Studia Logica, 43(1-2):3–16, 1984.
[4] G. Priest and R. Routley. First historical introduction. A preliminary history of paraconsistent and dialethic approaches. In [5], pages 3–75. Philosophia Verlag, 1989.
[5] G. Priest, R. Routley, J. Norman, and A. I. Arruda, editors. Paraconsistent logic: essays on the inconsistent. Analytica Series. Philosophia Verlag, 1989.