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Modal Logic for Philosophers


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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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The second edition of an accessible yet technically sound treatment of modal logic and its philosophical applications.

About the Author

James W. Garson is a Professor in the Department of Philosophy at the University of Houston. His research interests include logic, especially modal logic, the philosophy of mind, neural networks, formal semantics, natural language processing and philosophical issues concerning the impact of information technology. He has held grants from the National Endowment for the Humanities, the National Science Foundation and the Apple Education Foundation to study the use of computers in education and to develop software for training students in logic and computer science. He is the author of numerous articles in logic, semantics, linguistics, the philosophy of cognitive science, and computerized education. His review article on quantified modal logic in the Handbook of Philosophical Logic is a standard reference in the area. Garson is also author of What Logics Mean: From Proof to Model-Theoretic Semantics (Cambridge, 2013).

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