The Logic of Time: A Model-Theoretic Investigation into the Varieties of Temporal Ontology and Temporal Discourse

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That philosophical themes could be studied in an exact manner by logical meanS was a delightful discovery to make. Until then, the only outlet for a philosophical interest known to me was the production of poetry or essays. These means of expression remain inconclusive, however, with a tendency towards profuseness. The logical discipline provides so me intellectual backbone, without excluding the literary modes. A master's thesis by Erik Krabbe introduced me to the subject of tense logic. The doctoral dissertation of Paul N eedham awaked me (as so many others) from my dogmatic slumbers concerning the latter's mono­ poly on the logical study of Time. Finally, a set of lecture notes by Frank Veltman showed me how classical model theory is just as relevant to that study as more exotic intensional techniques. Of the authors whose work inspired me most, I would mention Arthur Prior, for his irresistible blend of logic and philosophy, Krister Segerberg, for his technical opening up of a systematic theory, and Hans Kamp, for his mastery of all these things at once. Many colleagues have made helpful comments on the two previous versions of this text. I would like to thank especially my students Ed Brinksma, Jan van Eyck and Wilfried Meyer-Viol for their logical and cultural criticism. The drawings were contributed by the versatile Bauke Mulder. Finally, Professor H intikka's kind appreciation provided the stimulus to write this book.

Author(s): Johan van Benthem
Series: Synthese Library 156
Edition: 1st
Publisher: Springer
Year: 1983

Language: English
Pages: 273
Tags: Logic; Computational Linguistics; Mathematical Logic and Foundations; Artificial Intelligence (incl. Robotics)

Front Matter....Pages i-xvi
Front Matter....Pages 1-1
Primitive Notions....Pages 3-13
Points....Pages 14-57
Periods....Pages 58-79
Points and Periods....Pages 80-112
Events....Pages 113-124
Front Matter....Pages 125-126
Choice of Languages....Pages 127-135
Instant Tense Logic....Pages 136-192
Extended Tense Logic....Pages 193-218
Point Talk and Period Talk....Pages 219-229
Back Matter....Pages 230-260