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Full Description
Temporal Logic: From Ancient Ideas to Artificial Intelligence deals with the history of temporal logic as well as the crucial systematic questions within the field. The book studies the rich contributions from ancient and medieval philosophy up to the downfall of temporal logic in the Renaissance. The modern rediscovery of the subject, which is especially due to the work of A. N. Prior, is described, leading into a thorough discussion of the use of temporal logic in computer science and the understanding of natural language.
Temporal Logic: From Ancient Ideas to Artificial Intelligence thus interweaves linguistic, philosophical and computational aspects into an informative and inspiring whole.
Contents
Introduction: Logic and the study of time.- Introduction: Logic and the study of time.- Time and Logic — From Synthesis to Dissociation.- The sea-fight tomorrow.- The master argument of Diodorus Cronus.- The study of tenses in the middle ages.- Temporal ampliation.- The duration of the present.- The logic of beginning and ending.- Time and consequentia.- Temporalis — the logic of 'While'.- Human freedom and divine foreknowledge.- The downfall of medieval tense-logic.- Logic as a timeless science.- Time and Logic Reunited.- The 19th century and Boolean logic.- C.S. Peirce on time and modality.- ?ukasiewicz's contribution to temporal logic.- A three-point structure of tenses.- A.N. Prior's tense-logic.- The idea of branching time.- Tense logic and special relativity.- Some basic systems of temporal logic.- Four grades of tense-logical involvement.- Metric tense logic.- Modern issues in temporal logic.- Two paradigms of temporal logic.- Indeterministic tense logic.- Leibnizian tense logic.- Tense logic and counterfactual reasoning.- Logic of durations.- Graphs for time and modality.- Temporal logic and computer science.- Conclusion.
