A Course in Model Theory

1. Front Matter

   Pages i-xxxi

   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

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.

• Arithmetic
• cardinals
• logic
• mathematical logic
• model theory

“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)

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

  Bruno Poizat

Policies and ethics