Order-Duality, Negation and Lattice Representation

Chapters in this book

1. I-VIII I
2. PART I: NEGATION IN PHILOSOPHICAL LOGIC
3. Generalized Ortho Negation 3
4. Order-Duality, Negation and Lattice Representation 27
5. Necessary Conditions for Negation Operators 37
6. External, Restricted External, and Internal Negations in a Two-Dimensional Logic 59
7. Negation and Relevance 87
8. PART II: NEGATION IN LINGUISTICS
9. Categorial Grammars with Negative Information 107
10. Negative Concord and ‘Mode of Judgement’ 127
11. Litotes and Downward Monotonicity 145
12. A Hierarchy of Negative Expressions 169
13. PART III: NEGATION IN ARTIFICIAL INTELLIGENCE
14. The Role of Negation in Nonmonotonic Logic and Defeasible Reasoning 197
15. Belnap’s Epistemic States and Negation-as-Failure 233
16. Index 263
17. 271-272 271