{"product_id":"logic-and-structure-paperback","title":"Logic and Structure - Paperback","description":"\u003cp\u003eby \u003cb\u003eDirk Van Dalen\u003c\/b\u003e (Author)\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eDirk van Dalen's popular textbook \u003ci\u003eLogic and Structure\u003c\/i\u003e, 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. \u003c\/p\u003e\u003cp\u003ePropositional 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. \u003c\/p\u003e\u003cp\u003eIn 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. \u003c\/p\u003e\u003cp\u003eThe last chapter on Gödel's first incompleteness theorem is self-contained and provides a systematic exposition of the necessary recursion theory. \u003c\/p\u003e\u003cp\u003eThis new edition has been properly revised and contains a new section on ultra-products.\u003c\/p\u003e\u003ch3\u003eBack Jacket\u003c\/h3\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003eDirk van Dalen's popular textbook\u003ci\u003e Logic and Structure\u003c\/i\u003e, 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. \u003c\/p\u003e\u003cp\u003ePropositional 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. \u003c\/p\u003e\u003cp\u003eIn 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. \u003c\/p\u003e\u003cp\u003eThe last chapter on Gödel's first incompleteness theorem is self-contained and provides a systematic exposition of the necessary recursion theory. \u003c\/p\u003e\u003cp\u003eThis new edition has been properly revised and contains a new section on ultra-products.\u003c\/p\u003e\u003cdiv\u003e\n\u003cstrong\u003eNumber of Pages:\u003c\/strong\u003e 263\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eDimensions:\u003c\/strong\u003e 0.6 x 9.1 x 6.1 IN\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003eIllustrated:\u003c\/strong\u003e Yes\u003c\/div\u003e\u003cdiv\u003e\n\u003cstrong\u003ePublication Date:\u003c\/strong\u003e November 13, 2012\u003c\/div\u003e","brand":"Books by splitShops","offers":[{"title":"Default Title","offer_id":42718005100607,"sku":"9781447145578","price":155.5,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0105\/8226\/1823\/files\/7ed444819e18b59909abd34f6d0fff5c.webp?v=1765080398","url":"https:\/\/dhlswag.com\/products\/logic-and-structure-paperback","provider":"BBB","version":"1.0","type":"link"}