What is included with this book?
Acknowledgments | p. ix |
Introduction to the Essays | p. 3 |
The Origins of Preservationism | p. 3 |
How Paraconsistent Inference Fell out of Modal Semantics | p. 7 |
The Concept of Level | p. 11 |
Preservation | p. 11 |
The Essays | p. 13 |
Paraconsistency: Who Needs It? | p. 17 |
Introduction | p. 17 |
The Strange Case of C.I. Lewis | p. 20 |
The Inconsistency of Belief | p. 23 |
Inconsistency and Ethics | p. 27 |
Summing Up | p. 30 |
Weakly Additive Algebras and a Completeness Problem | p. 33 |
Introduction and Brief History | p. 33 |
Weakly Additive Operators | p. 37 |
A Further Generalization | p. 40 |
Duality Theory for Weakly Additive Operators | p. 41 |
A Dualization of Neighbourhood Structures | p. 49 |
Introduction | p. 49 |
Hyperframes | p. 50 |
Normal Hyperframes | p. 54 |
Weakly Aggregative Modal Logic | p. 57 |
Polyadic Modal Logics and Their Monadic Fragments | p. 61 |
Introduction | p. 61 |
Polyadic Modal Languages and Multi-ary Relational Frames | p. 64 |
Normal Polyadic Modal Logics | p. 67 |
Frame Definability | p. 73 |
Soundness and Completeness | p. 75 |
Diagonal Fragments of Normal Polyadic Modal Logics | p. 81 |
Preserving What? | p. 85 |
Introduction | p. 85 |
Making a Few Things Precise | p. 88 |
What's Wrong with This Picture? | p. 92 |
Speak of the Level | p. 93 |
Level Preservation | p. 96 |
Yes, But Is It Inference? | p. 101 |
Forcing in Comparison with Other Level-Preserving Relations | p. 103 |
Preserving Logical Structure | p. 105 |
Introduction | p. 105 |
Definitions | p. 108 |
Substitutions | p. 118 |
Algebraic Concerns | p. 121 |
Denials | p. 125 |
Forcing and Preservationism | p. 127 |
Structural Rules and Compactness | p. 129 |
First-Order Logic and Forcing | p. 134 |
Conclusion | p. 142 |
Representation of Forcing | p. 145 |
Introduction | p. 145 |
Background | p. 146 |
Representation | p. 148 |
The Representation Theorem | p. 151 |
More Definitions and Motivation | p. 152 |
p. 156 | |
p. 158 | |
The Representation of Forcing | p. 158 |
Forcing and Practical Inference | p. 161 |
Introduction | p. 161 |
Dirty Hands | p. 164 |
¿-Forcing | p. 165 |
A-Forcing | p. 170 |
Wrap-up | p. 172 |
Ambiguity Games and Preserving Ambiguity Measures | p. 175 |
Ambiguity | p. 175 |
The Logic of Paradox | p. 177 |
Restoring Symmetry | p. 180 |
Ambiguity and Quantification | p. 186 |
Echoes of Supervaluation | p. 187 |
Final Remarks on Preservation | p. 188 |
Nomenclature | p. 189 |
References | p. 195 |
Index | p. 199 |
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