Dialetheism is the view that some contradictions are true. This is a view which runs against orthodoxy in logic and metaphysics since Aristotle, and has implications for many of the core notions of philosophy.
Doubt Truth to Be a Liarexplores these implications for truth, rationality, negation, and the nature of logic, and develops further the defense of dialetheism first mounted in Priest's
In Contradiction, a second edition of which is also available.
I. Truth1. Aristotle on the Law of Non-Contradiction
2. Theories of Truth
3. Trivialism
II. Negation4. Contradiction
5. Boolean Negation
6. Denial and Rejection
III. Rationality7. Rational Belief
8. Belief Revision
9. Consistency and the Empirical Sciences
IV. Logic10. Logic and Revisability
11. Validity
12. Logical Pluralism
This is a rewarding book. It is a must-read for everyone interested in the philosophy of paraconsistent logic. --Bartosz Wieckowski,
Studia Logica