The Many Valued and Nonmonotonic Turn in Logic

The present volume of the 20th Century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent. Many-valued, dialetheic, fuzzy and quantum logics are among other things, principled attempts to regulate the flow of the truth. On the second, or non-monotonic, approach, constraints, are placed on a real life process. inference.

Many-valued logics produce an interesting problem. Non-bivalent inputs produce classically valid relation statements, for any choice of results. A major task of many-valued logics.

The chief preoccupation of non-monotonic (and default) logicians. In what is called "left non-monotonicity", it is forbidden to enter new sentences. The restriction takes on the anticedence (and reasonably) derived consequence. In what is called "right non-monotonicity", limitations are imposed on the relation of the relation relation. Most notably, perhaps, it is a rule of law. Also prominent is the effort of paraconsistent logicians, both preservationist and dialetheic, to limit the very existence of what are in the classical contexts wholly unconstrained.

In some instances, our two themes coincide. Dialetheic logics are a case in point. Dialetheic logics. Certain truths and falsity together. So suche logics also admit classically inconsistent inputs. A central task is to construct a non-dependable, and inconsistent, inputs.

The Many Valued and Non-Monotonic Turn in Logic, including researchers, graduate and senior students in logic, history of logic, mathematics, history of mathematics, computer science, AI, linguistics, cognitive science, argumentation theory, and the history of ideas.

- Detailed and comprehensive chapters covering the entire range of modal logic
- Contains the latest scholarly discoveries and interprative insights that answers many questions in the field of logic

Preface
List of Contributors
Chapter 1. Many-valued Logic (Grzegorz Malinowski)
Chapter 2. Paraconsistent Logic: Preservationist Variations (Bryson Brown)
Chapter 3. Paraconsistent Logic: Dialethic Variations (Graham Priest)
Chapter 4. Quantum Logic (M. Dalla Chiara, Roberto Giuntini and Miklos Rédei)
Chapter 5. Logic of Vagueness (Dominic Hyde)
Chapter 6. Fuzzy Logic (Didier Dubois, Henri Prade and Lluis Godo)
Chapter 7. Non-monotonic Logic (Karl Schlechta)
Chapter 8. Default Logic (Grigoris Antoniou and Kewen Wang)
Chapter 9. Non-monotonic Reasoning and Belief Change (Alexander Bochman)
Chapter 10. Free Logic (Carl Posy)
index