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by Tore Langholm

Author: Tore Langholm
Subcategory: Mathematics
Language: English
Publisher: Center for the Study of Language and Inf; First edition edition (September 29, 1988)
Pages: 160 pages
Category: Math and Science
Rating: 4.8
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Partiality, Truth, and Persistence is a study in spatial model theory, the theory of partially defined models.

Partiality, Truth, and Persistence is a study in spatial model theory, the theory of partially defined models.

Partiality, Truth and Persistence book. Despite the many applications, however, a number of mathematically intriguing questions associated with this concept have received only very limited attention.

Despite many applications, a number of mathematically intriguing questions associated with the concept of semantical partiality have received only very limited attention. This volume is a study in spatial model theory, the theory of partially defined models. Liczba stron: 155. ISBN 10: 0937073350. ISBN 13: 9780937073353.

University of Chicago Press).

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Despite the many applications, however, a number of mathematically intriguing questions associated with this concept have received only very limited attention. The present dissertation aims to present a systematic study of certain types of partiality in the area of basic model theory.

Partiality, Truth and Persistence. CSLI Lecture Notes 15, Stanford University, Stanford, 1988. A logic of implicit and explicit belief. Proceedings of Sixth Conference of the American Association of Ar-tificial Intelligence,Morgan Kaufmann, Los Altos CA, 1984, 198–202. Possible world semantics for autoepistemic 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.