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#### Logic Without Borders

De Gruyter 2015; US$ 154.00In recent years, mathematical logic has developed in many directions, the initial unity of its subject matter giving way to a myriad of seemingly unrelated areas. The articles collected here, which range from historical scholarship to recent research in geometric model theory, squarely address this development. These articles also connect... more...

#### Forcing for Mathematicians

World Scientific Publishing Company 2014; US$ 44.00Ever 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 Axioms

World Scientific Publishing Company 2013; US$ 51.00In 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 Algebra

De Gruyter 2012; US$ 31.00in diesem Buch werden die Zusammenhänge zwischen Relationen, Funktionen und relationalen Datenbanken tiefer aufgezeigt, als dies üblicherweise in anderen, rein mathematisch orientierten Einführungswerken üblich ist. more...

#### The Axiom of Determinacy, Forcing Axioms, and the Nonstationary Ideal

De Gruyter 2010; US$ 266.00This is the revised edition of a well-established monograph on the identification of a canonical model in which the Continuum Hypothesis is false. Written by an expert in the field, it is directed to researchers and advanced graduate students in Mathematical Logic and Set Theory. The second edition is updated to take into account some... more...

#### The Birth of Model Theory

Princeton University Press 2009; US$ 97.00Löwenheim'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 Theory

Birkhäuser Basel 2008; US$ 129.00A 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 Fields

Cambridge University Press 2007; US$ 40.00This book presents research in model theory and its applications to valued fields. more...

#### The Concept of Model

re.press 2007; US$ 25.00In 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 Models

Springer US 2007; US$ 219.00Henkin-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...