Description

Book Synopsis
This book provides philosophers with an accessible yet technically sound treatment of modal logic and its philosophical applications. This second edition contains a new chapter on logics of conditionals, an updated and expanded bibliography, and is updated throughout. A number of technical results have also been clarified and streamlined.

Table of Contents
Preface to the second edition; Introduction; 1. The System K: a foundation for modal logic; 2. Extensions of K; 3. Basic concepts of intensional semantics; 4. Trees for K; 5. The accessibility of relation; 6. Trees for extensions of K; 7. Converting trees to proofs; 8. Adequacy of propositional modal logics; 9. Completeness of using canonical models; 10. Axioms and their corresponding conditions on R; 11. Relations between the modal logics; 12. Systems of quantified modal logic; 13. Semantics for quantified modal logics; 14. Trees for quantified modal logics; 15. The adequacy of quantified modal logics; 16. Completeness of quantified modal logics using trees; 17. Completeness using canonical models; 18. Descriptions; 19. Lambda abstraction; 20. Conditionals.

Modal Logic for Philosophers

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    A Hardback by James W. Garson

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      Book details

      Publisher Cambridge University Press
      Published 11/25/2013 12:00:00 AM
      ISBN-13 9781107029552
      978-1107029552
      ISBN-10 1107029554
      Also in:
      Analytical philosophy and Logical Positivism

      Description

      Book Synopsis
      This book provides philosophers with an accessible yet technically sound treatment of modal logic and its philosophical applications. This second edition contains a new chapter on logics of conditionals, an updated and expanded bibliography, and is updated throughout. A number of technical results have also been clarified and streamlined.

      Table of Contents
      Preface to the second edition; Introduction; 1. The System K: a foundation for modal logic; 2. Extensions of K; 3. Basic concepts of intensional semantics; 4. Trees for K; 5. The accessibility of relation; 6. Trees for extensions of K; 7. Converting trees to proofs; 8. Adequacy of propositional modal logics; 9. Completeness of using canonical models; 10. Axioms and their corresponding conditions on R; 11. Relations between the modal logics; 12. Systems of quantified modal logic; 13. Semantics for quantified modal logics; 14. Trees for quantified modal logics; 15. The adequacy of quantified modal logics; 16. Completeness of quantified modal logics using trees; 17. Completeness using canonical models; 18. Descriptions; 19. Lambda abstraction; 20. Conditionals.

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