Temporal Logic: From Ancient Ideas to Artificial Intelligence Book

Preface. Introduction. Part 1: Time and Logic. 1.1. The Sea-Fight Tomorrow. 1.2. The Master Argument of Diodorus Cronus. 1.3. The Study of Tenses in the Middle Ages. 1.4. Temporal Ampliation. 1.5. The Duration of the Present. 1.6. The Logic of Beginning and Ending. 1.7. Time and Consequentia. 1.8. Temporalis — the Logic of `While'. 1.9. Human Freedom and Divine Foreknowledge. 1.10. The Downfall of Medieval Tense-Logic. 1.11. Logic as a Timeless Science. Part 2: Time and Logic Reunited. 2.1. The 19th Century and Boolean Logic. 2.2. C.S. Peirce on Time and Modality. 2.3. Lukasiewicz's Contribution to Temporal Logic. 2.4. A Three-Point Structure of Tenses. 2.5. A.N. Prior's Tense-Logic. 2.6. The Idea of Branching Time. 2.7. Tense Logic and Special Relativity. 2.8. Some Basic Systems of Temporal Logic. 2.9. Four Grades of Tense-Logical Involvement. 2.10. Metric Tense Logic. Part 3: Modern Issues in Temporal Logic. 3.1. Two Paradigms of Temporal Logic. 3.2. Indeterministic Tense Logic. 3.3. Leibnizian Tense Logic. 3.4. Tense Logic and Counterfactual Reasoning. 3.5. Logic of Durations. 3.6. Graphs for Time and Modality. 3.7. Temporal Logic and Computer Science. 4: Conclusion. Appendix. Bibliography. Index. Some Important Logicians.