On the Countable Models of [omega] ̃1-categorical Theories in Admissible Languages PDF Download
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Author: Henry Andrew Kierstead
Publisher:
ISBN:
Category : Admissible sets
Languages : en
Pages : 236
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![On the Countable Models of [omega] ̃1-categorical Theories in Admissible Languages PDF](https://books.google.com/books/content/images/frontcover/wbG_uehIee4C?fife=w80-h100)
Author: Henry Andrew Kierstead
Publisher:
ISBN:
Category : Admissible sets
Languages : en
Pages : 236
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Author: Heinz-Dieter Ebbinghaus
Publisher: Springer Science & Business Media
ISBN: 3662090589
Category : Mathematics
Languages : en
Pages : 653
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Book Description
Gert H. Müller The growth of the number of publications in almost all scientific areas, as in the area of (mathematical) logic, is taken as a sign of our scientifically minded culture, but it also has a terrifying aspect. In addition, given the rapidly growing sophistica tion, specialization and hence subdivision of logic, researchers, students and teachers may have a hard time getting an overview of the existing literature, partic ularly if they do not have an extensive library available in their neighbourhood: they simply do not even know what to ask for! More specifically, if someone vaguely knows that something vaguely connected with his interests exists some where in the literature, he may not be able to find it even by searching through the publications scattered in the review journals. Answering this challenge was and is the central motivation for compiling this Bibliography. The Bibliography comprises (presently) the following six volumes (listed with the corresponding Editors): I. Classical Logic W. Rautenberg 11. Non-classical Logics W. Rautenberg 111. Model Theory H.-D. Ebbinghaus IV. Recursion Theory P.G. Hinman V. Set Theory A.R. Blass VI. ProofTheory; Constructive Mathematics J.E. Kister; D. van Dalen & A.S. Troelstra.
Author: Sergey Sudoplatov
Publisher: Litres
ISBN: 5041454795
Category : Mathematics
Languages : en
Pages : 394
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The book is the second part of the monograph “Classification of countable models of complete theories” consisting of two parts. In the book, generic Ehrenfeucht theories and realizations of Rudin–Keisler preorders are considered as well as a solution of the Goncharov–Millar problem on the existence of Ehrenfeucht theories with countable models which are not almost homogeneous, stable Ehrenfeucht theories solving the Lachlan problem, hypergraphs of prime models, distributions of countable models of small theories, and distributions of countable models of theories with continuum many types.The book is intended for specialists interested in Mathematical Logic.
Author: W. Marek
Publisher: Springer
ISBN: 3540381228
Category : Mathematics
Languages : en
Pages : 344
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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 974
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Vols. for 1973- include the following subject areas: Biological sciences, Agriculture, Chemistry, Environmental sciences, Health sciences, Engineering, Mathematics and statistics, Earth sciences, Physics, Education, Psychology, Sociology, Anthropology, History, Law & political science, Business & economics, Geography & regional planning, Language & literature, Fine arts, Library & information science, Mass communications, Music, Philosophy and Religion.
Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 1008
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Author:
Publisher:
ISBN:
Category : Dissertations, Academic
Languages : en
Pages : 712
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Author: John T. Baldwin
Publisher: American Mathematical Soc.
ISBN: 0821848933
Category : Mathematics
Languages : en
Pages : 251
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Book Description
"Modern model theory began with Morley's categoricity theorem: A countable first-order theory that has a unique (up to isomorphism) model in one uncountable cardinal (i.e., is categorical in cardinality) if and only if the same holds in all uncountable cardinals. Over the last 35 years Shelah made great strides in extending this result to infinitary logic, where the basic tool of compactness fails. He invented the notion of an Abstract Elementary Class to give a unifying semantic account of theories in first-order, infinitary logic and with some generalized quantifiers. Zilber developed similar techniques of infinitary model theory to study complex exponentiation." "This book provides the first unified and systematic exposition of this work. The many examples stretch from pure model theory to module theory and covers of Abelian varieties. Assuming only a first course in model theory, the book expounds eventual categoricity results (for classes with amalgamation) and categoricity in excellent classes. Such crucial tools as Ehrenfeucht-Mostowski models, Galois types, tameness, omitting-types theorems, multi-dimensional amalgamation, atomic types, good sets, weak diamonds, and excellent classes are developed completely and methodically. The (occasional) reliance on extensions of basic set theory is clearly laid out. The book concludes with a set of open problems." --Book Jacket.
Author: Wiktor Marek
Publisher: Springer
ISBN:
Category : Mathematics
Languages : en
Pages : 370
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Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 844
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