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.
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.
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.
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