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

De Gruyter 2010; US$ 238.00This 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$ 87.50Löwenheim'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...

#### Classification Theory

Elsevier Science 1990; US$ 376.00In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X - XIII present the solution to countable first order T of what the author sees as the main... 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...

#### Finite Model Theory

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2005; US$ 109.00Presents the main results of descriptive complexity theory - the connections between axiomatizability of classes of finite structures and their complexity with respect to time and space bounds. This book also looks at important logic in this context, which include fixed-point logic, transitive closure logic, and certain infinitary languages. more...

#### Forcing for Mathematicians

World Scientific Publishing Company 2014; US$ 75.00Ever 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...

#### Henkin-Keisler Models {Mathematics and Its Applications (Kluwer Academic Publishers) ; V. 392}

Springer 1997; US$ 185.00Aspects of the Henkin-Keisler construction are utilized here to present a perspective on ultraproducts, and their applications, accessible to the reader familiar with Henkin's proof of the completeness of first order logic and naive set theory. 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...

#### An Introduction to Independence for Analysts

Cambridge University Press 1987; US$ 88.00Forcing is a powerful tool from logic which is used to prove that certain propositions of mathematics are independent of the basic axioms of set theory, ZFC. more...