Investigations in Modal and Tense Logics with Applications to Problems in Philosophy and Linguistics

Content: 0: An Introduction to General Intensional Logics.- 0 / Consequence Relations.- 0. Basic Notions.- 1. Basic Completeness Theorem.- 2. Dependence of One Semantics on Another.- 1: An Introduction to One Dimensional Modal Logics.- 1 / Basic Notions.- 3. The Syntax.- 4. The Interpretation.- 5. The Completeness Theorem.- 2 / General Theory of Unary Intensional Connectives.- 6. Neighbourhood Systems.- 7. Kripke Systems.- 3 / Basic Necessity Systems.- 8. The Main Predicate Calculi.- 9. The Barcan Formula.- 10. Special Topics.- 4 / Basic Tense Systems.- 11. Basic Tense Systems.- 12. Exercises.- 5 / Possible Worlds with Varying Domains.- 13. Neighbourhood Structures with Varying Domains.- 14. Kripke Structures with Varying Domains.- 15. Exercises.- 6 / Equality and Proper Names.- 16. Pure Theory of Equality.- 17. Equality in Kripke Structures.- 18. Proper Names.- 7 / Propositional Statability Operators.- 19. Tensed Statability Operators.- 20. Modal Statability Operators.- 2: Technical Results for Propositional Calculi.- 8 / The Finite Model Property.- 21. Ordinary Filtration.- 22. Extensions of S4.3.- 23. Lack of the Finite Model Property.- 24. An Extension of S4 Without the Finite Model Property.- 9 / Selective Filtration.- 25. Selective Filtration in Non-reflexive World Structures.- 26. Reflexive Systems.- 27. Exercises.- 3: Introduction to Many Dimensionel Modal Logics and Applications.- 10 / Two Dimensional Propositional Tense Logics.- 28. The Systems G4 and G24.- 29. The Systems GJ4 and G2J4.- 30. The System Kt24.- 31. The System Kt2J4.- 32. The System G2.- 11 / An Appendix.- 33. A Theory of Proper Names and Conceptual Change.- 12 / Some Applications.- 34. Tense Logics and the Tenses of English.- 4: Special Systems.- 13 / Relative Necessity Operators and the Subjunctive Conditional.- 35. n-ry Entailment and Necessity Operators.- 36. A General Theory of the Conditional in Terms of a Ternary Operator.- 14 / Propositional Quantifiers.- 37. Systems Without the Comprehension Axiom.- 38. The Comprehension Axiom.- 15 / Basic Entailment Type Logics.- 39. Weak Entailment Systems.- 5: The Decision Problem.- 16 / The Reduction Method.- 40. The Reduction Method for Modal Systems.- 41. Some Completeness Theorems.- 17 / Some Decidability Results.- 42. Simple Results.- 43. More Decidability Results.- 44. Transfer Property.- 45. Exercises.- 46. On Decidable, Finitely Axiomatizable, Modal and Tense Logics Without the Finite Model Property.- 18 / The Decision Problem for Predicate Systems.- 47. Undecidability Results.- 48. Decidability Results.- 6: Special Topics.- 19 / Completeness for Frames.- 49. Completeness for Kripke Frames.- 50. Completeness for Neighborhood Frames.- 20 / The Interpolation Theorem.- 51. The Interpolation Theorem.- 7: Notes and Some References.- Scheme of the Book.- References.- Index of Names.