{"product_id":"9781447145578","title":"Universitext","description":"\u003ch1\u003eUniversitext\u003c\/h1\u003e \u003ch2\u003evan Dalen, Dirk\u003c\/h2\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-containedand 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\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-11-13\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9781447145578\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4471-4558-5\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 263\u003c\/p\u003e ","brand":"Springer London","offers":[{"title":"Default Title","offer_id":45987034103948,"sku":"9781447145578","price":80.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9781447145578.jpg?v=1775729200","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9781447145578","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}