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

ISBN-13: 9789401098700 / Angielski / Miękka / 2012 / 276 str.

Johan Van Benthem

Opis

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."

Recenzje

From reviews of the first edition:
`Overall this is an admirable work. I believe it will change and enrich the field.'
Steven Kuhn, Journal of Symbolic Logic, 52 (3) (1987)
`...the book...will be most useful to anyone, newcomer or expert, with an interest in the logic of time.'
John Burgess, Journal of Philosophical Logic, 13 (3) (1984)

Spis treści

I/Temporal Ontology.- I.1./Primitive Notions.- I.1.1. Individuals.- I.1.2. Relations.- I.2./Points.- I.2.1. Direct Axioms.- I.2.2. Global Intuitions.- I.2.3. The Category of Point Structures.- I.3./Periods.- I.3.1. Direct Axioms.- I.3.2. Global Intuitions.- I.3.3. The Category of Period Structures.- I.4./Points and Periods.- I.4.1. From Points to Periods.- I.4.2. From Periods to Points.- I.4.3. Categorial Connections.- I.5./Events.- II/Temporal Discourse.- II.1./Choice of Languages.- II.2./Instant Tense Logic.- II.2.1. Semantics and Elementary Model Theory.- II.2.2. Correspondence.- II.2.3. Completeness.- II.3./Extended Tense Logic.- II.3.1. Semantics.- II.3.2. Correspondence.- II.3.3. Completeness.- II.4./Point Talk and Period Talk.- Appendix A/On Space.- Notes.- List of Important Principles.- Index of Names.- Index of Subjects.

O autorze

Professor Dr J.F.A.K. van Benthem has received the 1996 Spinoza Award, an annual award to honour outstanding scientific merit and to stimulate innovative future research.

from the jury report:
`Van Benthem has positioned logic as an interdisciplinary science par excellence ... It is through his work that logic has acquired a bridge-function between alpha and gamma sciences on the one side and beta sciences on the other ... Van Benthem is a stimulating and innovative researcher, which explains his great attraction to young researchers. Under his inspirational guidance 38 promovendi from the Netherlands and abroad have finished their theses. In view of Van Benthem's innovative powers and the high level of his research, a number of initiatives are to be expected from him that will further strengthen the Dutch position of logic, more especially so in connection with the formal study of natural language.'