James W. GarsonCambridge University PressEdition: 2, 11/25/2013EAN 9781107029552, ISBN10: 1107029554Hardcover, 506 pages, 22.9 x 15.2 x 2.9 cmLanguage: EnglishThis book on modal logic is especially designed for philosophy students. It provides an accessible yet technically sound treatment of modal logic and its philosophical applications. Every effort is made to simplify the presentation by using diagrams instead of more complex mathematical apparatus. These and other innovations provide philosophers with easy access to a rich variety of topics in modal logic, including a full coverage of quantified modal logic, non-rigid designators, definite descriptions, and the de-re de-dicto distinction. Discussion of philosophical issues concerning the development of modal logic is woven into the text. The book uses natural deduction systems, which are widely regarded as the easiest to teach and use. It also includes a diagram technique that extends the method of truth trees to modal logic. This provides a foundation for a novel method for showing completeness that is easy to extend to quantifiers. This second edition contains a new chapter on logics of conditionals, an updated and expanded bibliography, and is updated throughout.Preface to the second editionIntroduction1. The System Ka foundation for modal logic2. Extensions of K3. Basic concepts of intensional semantics4. Trees for K5. The accessibility of relation6. Trees for extensions of K7. Converting trees to proofs8. Adequacy of propositional modal logics9. Completeness of using canonical models10. Axioms and their corresponding conditions on R11. Relations between the modal logics12. Systems of quantified modal logic13. Semantics for quantified modal logics14. Trees for quantified modal logics15. The adequacy of quantified modal logics16. Completeness of quantified modal logics using trees17. Completeness using canonical models18. Descriptions19. Lambda abstraction20. Conditionals.
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