Chapter 1. Contradictions, from Consistency to Inconsistency (Walter Carnielli).- Chapter 2. The price of true contradictions about the world (Jonas R. Becker Arenhart).- Chapter 3. The possibility and fruitfulness of a debate on the Principle of Non-Contradiction (Luis Estrada-Gonzalez).- Chapter 4. Keeping Globally Inconsistent Scientific Theories Locally Consistent (Michele Friend).- Chapter 5. Title Not Available (Eduardo Barrio).- Chapter 6. Provided you're not trivial: Adding defaults and paraconsistency to a formal model of explanation (David Gaytán).- Chapter 7. Para-Disagreement Logics and their Implementation through Embedding in Coq and SMT (Bruno Woltzenlogel Paleo).- Chapter 8. Asymptotic quasi-completeness and ZFC (Marco Panza).- Chapter 9. Interpretation and Truth in Set Theory (Rodrigo A. Freire).- Chapter 10. Coherence of the product law for independent continuous events (Daniele Mundici).- Chapter 11. A local-global principle for the real continuum (José Carlos Magossi).- Chapter 12. Quantitative Logic Reasoning (Marcelo Finger).- Chapter 13. Reconciling first-order logic to algebra (Walter Carnielli).- Chapter 14. Plug and play negations (Sergio Marcelino).