Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics. Alongside the practical examples, readers learn what can and can't be calculated; for example the correctness of a derivation proving a given sequent can be tested mechanically, but there is...

Professor Hodges emphasizes definability and methods of construction, and introduces the reader to advanced topics such as stability. He also provides the reader with much historical information and a full bibliography, enhancing the book's use as a reference.

This is an up-to-date textbook of model theory taking the reader from first definitions to Morley's theorem and the elementary parts of stability theory. Besides standard results such as the compactness and omitting types theorems, it also describes various links with algebra, including the Skolem-Tarski method of quantifier elimination, model completeness, automorphism groups and omega-categoricity, ultraproducts, O-minimality and structures of finite Morley rank. The material on back-and-forth equivalences, interpretations and zero-one laws can serve as an introduction to applications of...

Professor Hodges emphasizes definability and methods of construction, and introduces the reader to advanced topics such as stability. He also provides the reader with much historical information and a full bibliography, enhancing the book's use as a reference.

Assuming no previous study in logic, this informal yet rigorous text covers the material of a standard undergraduate first course in mathematical logic, using natural deduction and leading up to the completeness theorem for first-order logic. At each stage of the text, the reader is given an intuition based on standard mathematical practice, which is subsequently developed with clean formal mathematics. Alongside the practical examples, readers learn what can and can't be calculated; for example the correctness of a derivation proving a given sequent can be tested mechanically, but there is...

Eis um livro-texto atualizado de teoria de modelos levando o leitor das primeiras defi nicoes ate o teorema de Morley e as partes elementares da teoria da estabilidade. Alem dos resultados padrao tais como os teoremas da compacidade e da omissao de tipos, o livro tambem descreve varias conexoes com a algebra, incluindo o metodo de eliminacao de quantifi cadores de Skolem-Tarski, modelocompletude, grupos de automorfi smos e omegacategoricidade, ultraprodutos, O-minimalidade e estruturas de posto de Morley finito. O material sobre equivalencias vai-e-vem, interpretacoes e leis zero-um pode...

The 14th International Congress of Logic, Methodology and Philosophy of Science was held on July 19 - 26, 2011 in Nancy, the historic capital of Lorraine and the birthplace of Henri Poincare. For the first time in LMPS history, the Nancy congress had a special topic: Logic and Science Facing the New Technologies. These Proceedings include state of the art discussions by leading scholars. Besides plenary talks, they contain many of the invited papers from the four sections: Logic, General Philosophy of Science, Methodological and Philosophical Issues of Particular Sciences, and Methodological...