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Partiality, Truth and Persistence: Volume 15 (Center for the Study of Language and Information Publication Lecture Notes) - Softcover
Inhaltsangabe
In recent years, 'semantical partiality' has emerged as an important concept in philosophical logic as well as in the study of natural language semantics. Despite the many applications, however, a number of mathematically intriguing questions associated with this concept have received only very limited attention. Partiality, Truth, and Persistence is a study in spatial model theory, the theory of partially defined models. First, with the introduction of truth value gaps in semantics, there are many ways to generalize the classical truth definition for the sentences of a first order predicate language. We know what it means for a sentence to be true or false in a classical, complete model, but how do we extend this relation when partial models are introduced? Various alternatives exist, and a detailed comparison is carried out between them. Since these studies concern a full first order predicate language, many distinctions appear that do not arise in the case of pure propositional logic. A condition of monotonicity or 'persistence' of truth relative to partial models has a prominent position among conditions that are not expressible in the framework of standard, complete model theory. The final chapter investigates the relation between such conditions and expressibility properties in general. These discussions culminate with a combined Lindstrom and persistence characterization theorem. Tore Langholm is a research fellow in mathematics at the University of Oslo. He is a co-author of Situations, Language and Logic.
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In recent years, 'semantical partiality' has emerged as an important concept in philosophical logic as well as in the study of natural language semantics. Despite the many applications, however, a number of mathematically intriguing questions associated with this concept have received only very limited attention. Partiality, Truth, and Persistence is a study in spatial model theory, the theory of partially defined models. First, with the introduction of truth value gaps in semantics, there are many ways to generalize the classical truth definition for the sentences of a first order predicate language. We know what it means for a sentence to be true or false in a classical, complete model, but how do we extend this relation when partial models are introduced? Various alternatives exist, and a detailed comparison is carried out between them. Since these studies concern a full first order predicate language, many distinctions appear that do not arise in the case of pure propositional logic. A condition of monotonicity or 'persistence' of truth relative to partial models has a prominent position among conditions that are not expressible in the framework of standard, complete model theory. The final chapter investigates the relation between such conditions and expressibility properties in general. These discussions culminate with a combined Lindstrom and persistence characterization theorem. Tore Langholm is a research fellow in mathematics at the University of Oslo. He is a co-author of Situations, Language and Logic.
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- VerlagThe Center for the Study of Language and Information Publications
- Erscheinungsdatum1988
- ISBN 10 0937073342
- ISBN 13 9780937073346
- EinbandTapa blanda
- SpracheEnglisch
- Anzahl der Seiten163
- Kontakt zum HerstellerNicht verfügbar
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Partiality, Truth and Persistence (Volume 15) (Lecture Notes)
Verlag:
Center for the Study of Language and Inf, 1988
ISBN 10: 0937073342
ISBN 13: 9780937073346
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PARTIALITY, TRUTH AND PERSISTENCE
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Zustand: New. 978-0-937073-34-6. LANGHOLM, T.: PARTIALITY, TRUTH AND PERSISTENCE. 1988 UNIVERSITY OF CHICAGO PRESS 275 gr. Bestandsnummer des Verkäufers 336700
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Partiality, Truth and Persistence
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Centre for the Study of Language & Information, 1988
ISBN 10: 0937073342
ISBN 13: 9780937073346
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Zustand: New. In recent years, semantical partiality has emerged as an important concept in philosophical logic as well as in the study of natural language semantics. This is a study in spatial model theory, the theory of partially defined models. Series: Center for the Study of Language & Information - Lecture Notes. Num Pages: 163 pages. BIC Classification: HP. Category: (P) Professional & Vocational. Dimension: 228 x 156 x 11. Weight in Grams: 271. . 1988. 73. Paperback. . . . . Bestandsnummer des Verkäufers V9780937073346
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Partiality, Truth and Persistence
Verlag:
Centre for the Study of Language & Information, 1988
ISBN 10: 0937073342
ISBN 13: 9780937073346
Neu
Softcover
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Verkäuferbewertung 5 von 5 Sternen
Zustand: New. In recent years, semantical partiality has emerged as an important concept in philosophical logic as well as in the study of natural language semantics. This is a study in spatial model theory, the theory of partially defined models. Series: Center for the Study of Language & Information - Lecture Notes. Num Pages: 163 pages. BIC Classification: HP. Category: (P) Professional & Vocational. Dimension: 228 x 156 x 11. Weight in Grams: 271. . 1988. 73. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780937073346
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