Introduction; 1. The system K; 2. Extensions of K; 3. Intensional semantics; 4. Trees for K; 5. The accessibility relation; 6. Trees for extensions of K; 7. Converting trees to proofs; 8. Adequacy of propositional modal logics; 9. Completeness using canonical models; 10. The general axiom; 11. Relations between the modal logics; 12. Systems for quantified modal logic; 13. Semantics for quantified modal logics; 14. Trees for quantified modal logic; 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.
James W. Garson is professor of philosophy at the University of Houston. He has held grants from the National Endowment for the Humanities, the National Science Foundation, and the Apple Education Foundation. He is also the author of numerous articles in logic, semantics, linguistics, the philosophy of cognitive science, and computerized education.
'This book is a very well written introduction into propositional and first-order logic. ... This book is a very valuable enlargement of the textbook literature, particularly for the field of first order modal logic's. And it is not only suitable for philosophers; also mathematicians and computer scientists may use it with benefit. it correctly defines all notions, makes clear claims and proves them in detail.' Zentralblatt MATH