David Louvish; R. Fra?ss? Course of Mathematical Logic 9789027705105

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Автор: David Louvish; R. Fra?ss?
Название: Course of Mathematical Logic
ISBN: 9789027705105
Издательство: Springer
Классификация:

Математические основы

Математическая логика

ISBN-10: 9027705100
Обложка/Формат: Paperback
Страницы: 198
Вес: 0.31 кг.
Дата издания: 31.10.1974
Серия: Synthese Library
Язык: English
Размер: 234 x 156 x 12
Основная тема: Philosophy
Подзаголовок: Volume 2 Model Theory
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book is addressed primarily to researchers specializing in mathemat- ical logic. It may also be of interest to students completing a Masters Degree in mathematics and desiring to embark on research in logic, as well as to teachers at universities and high schools, mathematicians in general, or philosophers wishing to gain a more rigorous conception of deductive reasoning. The material stems from lectures read from 1962 to 1968 at the Faculte des Sciences de Paris and since 1969 at the Universities of Provence and Paris-VI. The only prerequisites demanded of the reader are elementary combinatorial theory and set theory. We lay emphasis on the semantic aspect of logic rather than on syntax; in other words, we are concerned with the connection between formulas and the multirelations, or models, which satisfy them. In this context considerable importance attaches to the theory of relations, which yields a novel approach and algebraization of many concepts of logic. The present two-volume edition considerably widens the scope of the original French] one-volume edition (1967: Relation, Formule logique, Compacite, Completude). The new Volume 1 (1971: Relation et Formule logique) reproduces the old Chapters 1, 2, 3, 4, 5 and 8, redivided as follows: Word, formula (Chapter 1), Connection (Chapter 2), Relation, operator (Chapter 3), Free formula (Chapter 4), Logicalformula, denumer- able-model theorem (L6wenheim-Skolem) (Chapter 5), Completeness theorem (G6del-Herbrand) and Interpolation theorem (Craig-Lyndon) (Chapter 6), Interpretability of relations (Chapter 7).

Course of Mathematical Logic, David Louvish; R. Fra?ss?