Systems of Logic [Paperback]

This is an advanced study of systems of propositional logic.A great variety of systems and subsystems are defined and compared with respect to their deductive power and relation to their model theory in this advanced study of systems of propositional logic.A great variety of systems and subsystems are defined and compared with respect to their deductive power and relation to their model theory in this advanced study of systems of propositional logic.This advanced study of systems of propositional logic offers a comprehensive account of a wide variety of logical systems and encourages students to take a critical stance toward the subject. A great variety of systems and subsystems are defined and compared as regards their deductive power and relation to their model theory. Special attention is given to the weakenings of classical logic and a more refined treatment of modal logic is presented.Preface; 1. Formal systems and structure theory; 2. Zero-order logic: proof theory; 3. Zero-order model theory; 4. Positive implication; 5. Negation; 6. Complete implication-negation logic; 7. Disjunction; 8. Conjunction; 9. Multi-connective systems; 10. Strict implications: introduction; 11. Strict implications: addition results; 12. Quantification and first-order logic; 13. Quantification and complete logics; 14. Quantification and incomplete logics; 15. Interpretation of formal systems; Appendix: historical and bibliographical remarks; Subject index; Index of systems; Index of symbols.