Logic and Structure - (Universitext) 5th Edition by Dirk Van Dalen (Paperback)
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<p/><br></br><p><b> About the Book </b></p></br></br>Dirk van Dalen's popular textbook, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel's famous incompleteness theorem. Includes a new section on ultra-products.<p/><br></br><p><b> Book Synopsis </b></p></br></br><p>Dirk van Dalen's popular textbook <i>Logic and Structure</i>, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel's famous incompleteness theorem. </p><p>Propositional and predicate logic are presented in an easy-to-read style using Gentzen's natural deduction. The book proceeds with some basic concepts and facts of model theory: a discussion on compactness, Skolem-Löwenheim, non-standard models and quantifier elimination. The discussion of classical logic is concluded with a concise exposition of second-order logic. </p><p>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 Gödel translation, the disjunction and existence property are also included. </p><p>The last chapter on Gödel's first incompleteness theorem is self-contained and provides a systematic exposition of the necessary recursion theory. </p><p>This new edition has been properly revised and contains a new section on ultra-products.</p><p/><br></br><p><b> From the Back Cover </b></p></br></br><p>Dirk van Dalen's popular textbook<i> Logic and Structure</i>, now in its fifth edition, provides a comprehensive introduction to the basics of classical and intuitionistic logic, model theory and Gödel's famous incompleteness theorem. </p><p>Propositional and predicate logic are presented in an easy-to-read style using Gentzen's natural deduction. The book proceeds with some basic concepts and facts of model theory: a discussion on compactness, Skolem-Löwenheim, non-standard models and quantifier elimination. The discussion of classical logic is concluded with a concise exposition of second-order logic. </p><p>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 Gödel translation, the disjunction and existence property are also included. </p><p>The last chapter on Gödel's first incompleteness theorem is self-contained and provides a systematic exposition of the necessary recursion theory. </p><p>This new edition has been properly revised and contains a new section on ultra-products.</p><p/><br></br><p><b> Review Quotes </b></p></br></br><br><p>From the reviews of the fifth edition: </p><p>"This is the fifth edition of van Dalen's 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 quite a good book and is certainly a very serious contender as a text for an undergraduate course, and should be carefully looked at by anybody teaching such a course." (Mark Hunacek, MAA Reviews, June, 2013)</p><br>
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