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Model theory

  • Logic Without Bordersby Åsa Hirvonen; Juha Kontinen; Roman Kossak; Andrés Villaveces

    De Gruyter 2015; US$ 142.99

    In the last decades, mathematical logic has developed into a technically quite sophisticated area of mathematics. Nevertheless, inspirations from philosophy and computer science continue to be important and noticeable. The series publishes conference proceedings as well as monographs written by leading researchers in mathematical logic.... more...

  • Forcing for Mathematiciansby Nik Weaver

    World Scientific Publishing Company 2014; US$ 52.00 US$ 47.32

    Ever since Paul Cohen's spectacular use of the forcing concept to prove the independence of the continuum hypothesis from the standard axioms of set theory, forcing has been seen by the general mathematical community as a subject of great intrinsic interest but one that is technically so forbidding that it is only accessible to specialists. In... more...

  • Notes on Forcing Axiomsby Stevo Todorcevic; Chitat Chong; Qi Feng; Yue Yang

    World Scientific Publishing Company 2013; US$ 60.00 US$ 54.60

    In the mathematical practice, the Baire category method is a tool for establishing the existence of a rich array of generic structures. However, in mathematics, the Baire category method is also behind a number of fundamental results such as the Open Mapping Theorem or the Banach-Steinhaus Boundedness Principle. This volume brings the Baire category... more...

  • Logik und Algebraby Frank Staab

    De Gruyter 2012; US$ 31.00

    Ein Computer ist letztendlich nichts anderes als in Hardware umgesetzte Boolesche Algebra. Ohne Verständnis dieser algebraischen Struktur kann man die Funktionsweise eines Rechners nie begreifen, und dazu sollte jeder Informatik- oder Wirtschaftsinformatikstudent in der Lage sein, auch dann, wenn sein Aufgabengebiet später nicht der Entwurf... more...

  • The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Idealby W. Hugh Woodin

    De Gruyter 2010; US$ 266.00

    The series is devoted to the publication of high-level monographs on all areas of mathematical logic and its applications. It is addressed to advanced students and research mathematicians, and may also serve as a guide for lectures and for seminars at the graduate level. more...

  • The Birth of Model Theoryby Calixto Badesa

    Princeton University Press 2009; US$ 99.95 US$ 90.95

    Löwenheim's theorem reflects a critical point in the history of mathematical logic, for it marks the birth of model theory--that is, the part of logic that concerns the relationship between formal theories and their models. However, while the original proofs of other, comparably significant theorems are well understood, this is not the case with Löwenheim's... more...

  • Institution-independent Model Theoryby Razvan Diaconescu

    Birkhäuser Basel 2008; US$ 94.48

    A model theory that is independent of any concrete logical system allows a general handling of a large variety of logics. This generality can be achieved by applying the theory of institutions that provides a precise mathematical formulation for the intuitive concept of a logical system. Especially in computer science, where the development of a huge... more...

  • Stable Domination and Independence in Algebraically Closed Valued Fieldsby Deirdre Haskell; Ehud Hrushovski; Dugald Macpherson

    Cambridge University Press 2007; US$ 41.00

    This book presents research in model theory and its applications to valued fields. more...

  • The Concept of Modelby Alain Badiou; Zachary Fraser; Tzuchien Tho

    re.press 2007; US$ 25.00

    In The Concept of Model Alain Badiou establishes a new logical 'concept of model'. Translated for the first time into English, the work is accompanied by an exclusive interview with Badiou in which he elaborates on the connections between his early and most recent work—for which the concept of model remains seminal. more...

  • Henkin-Keisler Modelsby George Weaver

    Springer US 2007; US$ 100.39

    Henkin-Keisler models emanate from a modification of the Henkin construction introduced by Keisler to motivate the definition of ultraproducts. Keisler modified the Henkin construction at that point at which `new' individual constants are introduced and did so in a way that illuminates a connection between Henkin-Keisler models and ultraproducts.... more...