Logic and Structure [Paperback]

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 G?dels 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-L?wenheim, 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 G?del translation, the disjunction and existence property are also included.

The last chapter on G?del'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.

Introduction.- Propositional Logic.- Predicate Logic.- Completeness and Applications.- Second Order Logic.- Intuitionistic Logic.- Normalization.- G?del's theorem.

From the reviews of the fifth edition:

This is the fifth edition of van Dalens respected and enduring logic textbook, first published in 1980. ... Intended as a text for an undergraduate course in logic, this text contains considerably more material than can be covered in one semester. & this is ló`