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A Course in Model Theory

An Introduction to Contemporary Mathematical Logic

  • Textbook
  • © 2000

Overview

Authors:
  1. Bruno Poizat

    1. Département des Mathématiques, Universite Claude Bernard Lyon I, Villeurbanne Cedex, France

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Part of the book series: Universitext (UTX)

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Table of contents (20 chapters)

  1. Front Matter

    Pages i-xxxi
    Download chapter PDF

  2. Elementary Classes of Relations

    • Bruno Poizat
    Pages 1-14

  3. The Language Associated with a Relation

    • Bruno Poizat
    Pages 15-30

  4. Extensions of the Language: Structures

    • Bruno Poizat
    Pages 31-37

  5. Compactness

    • Bruno Poizat
    Pages 38-54

  6. The Back-and-Forth Method in ω-Saturated Models

    • Bruno Poizat
    Pages 55-63

  7. Examples Illustrating the Back-and-Forth Method

    • Bruno Poizat
    Pages 64-107

  8. Arithmetic

    • Bruno Poizat
    Pages 108-159

  9. Ordinals and Cardinals

    • Bruno Poizat
    Pages 160-180

  10. Saturated Models

    • Bruno Poizat
    Pages 181-203

  11. Prime Models

    • Bruno Poizat
    Pages 204-224

  12. Heirs

    • Bruno Poizat
    Pages 225-238

  13. Special Sons, Morley Sequences

    • Bruno Poizat
    Pages 239-276

  14. The Fundamental Order

    • Bruno Poizat
    Pages 277-289

  15. Stability and Saturated Models

    • Bruno Poizat
    Pages 290-298

  16. Forking

    • Bruno Poizat
    Pages 299-308

  17. Strong Types

    • Bruno Poizat
    Pages 309-331

  18. Notions of Rank

    • Bruno Poizat
    Pages 332-350

  19. Stability and Prime Models

    • Bruno Poizat
    Pages 351-373

  20. Stability, Indiscernible Sequences and Weights

    • Bruno Poizat
    Pages 374-392
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Keywords

About this book

Can we reproduce the inimitable, or give a new life to what has been af­ fected by the weariness of existence? Folks, what you have in your hands is a translation into English of a book that was first published in 1985 by its author, that is, myself, at the end of an editorial adventure about which you will find some details later. It was written in a dialect of Latin that is spoken as a native language in some parts of Europe, Canada, the U. S. A. , the West Indies, and is used as a language of communication between several countries in Africa. It is also sometimes used as a lan­ guage of communication between the members of a much more restricted community: mathematicians. This translation is indeed quite a faithful rendering of the original: Only a final section, on the reals, has been added to Chapter 6, plus a few notes now and then. On the title page you see an inscription in Arabic letters, with a transcription in the Latin (some poorly informed people say English!) alphabet below; I designed the calligraphy myself.

Reviews

“It is with great satisfaction that I welcome the English translation of Poizat’s Cours de théorie des modèles … .” (Frank Wagner, zbMATH 0951.03002, 2022)

Authors and Affiliations

  • Département des Mathématiques, Universite Claude Bernard Lyon I, Villeurbanne Cedex, France

    Bruno Poizat

Bibliographic Information

  • Book Title: A Course in Model Theory

  • Book Subtitle: An Introduction to Contemporary Mathematical Logic

  • Authors: Bruno Poizat

  • Series Title: Universitext

  • DOI: https://doi.org/10.1007/978-1-4419-8622-1

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2000

  • Hardcover ISBN: 978-0-387-98655-5Published: 25 May 2000

  • Softcover ISBN: 978-1-4612-6446-0Published: 08 October 2012

  • eBook ISBN: 978-1-4419-8622-1Published: 06 December 2012

  • Series ISSN: 0172-5939

  • Series E-ISSN: 2191-6675

  • Edition Number: 1

  • Number of Pages: XXXI, 443

  • Additional Information: Originally published with the title: Cours de Theorie des Modeles

  • Topics: Mathematical Logic and Foundations

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