Logic and Structure (Universitext)

ISBN: 1447145577

Author: van Dalen, Dirk

Condition: Used

Dirk van Dalens popular textbook Logic and Structure, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gdels famous incompleteness theorem.Propositional and predicate logic are presented in an easy-to-read style using Gentzens natural deduction. The book proceeds with some basic concepts and facts of model theory: a discussion on compactness, Skolem-Lwenheim, non-standard models and quantifier elimination. The discussion of classical logic is concluded with a concise exposition of second-order logic.In view of the growing recognition of constructive methods and principles, intuitionistic logic and Kripke semantics is carefully explored. A number of specific constructive features, such as apartness and equality, the Gdel translation, the disjunction and existence property are also included.The last chapter on Gdel's first incompleteness theorem is self-contained and provides a systematic exposition of the necessary recursion theory.This new edition has been properly revised and contains a new section on ultra-products.