{"product_id":"9781447145578","title":"Logic and Structure","description":"\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\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003ePublication Year: \u003c\/strong\u003e2013\u003cbr\u003e\u003cstrong\u003eImprint: \u003c\/strong\u003eSpringer London\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eFormat: P\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003eWeight (Gram): 4219\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003cbr\u003e\u003cstrong\u003e\u003c\/strong\u003e\u003c\/p\u003e","brand":"Dirk van Dalen","offers":[{"title":"Default Title","offer_id":41266717098162,"sku":"9781447145578","price":101.39,"currency_code":"SGD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0502\/5382\/4178\/products\/1447145577.01_SCLZZZZZZZ.jpg?v=1636027547","url":"https:\/\/readabook.store\/products\/9781447145578","provider":"READABOOK BY ALKEM","version":"1.0","type":"link"}