{"product_id":"logic-and-structure-dirk-van-dalen-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 Gel'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-Lenheim, 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 Gel translation, the disjunction and existence property are also included. \u003c\/p\u003e\u003cp\u003eThe last chapter on Gel'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\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Dirk Van Dalen\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1447145577\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781447145578\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Springer\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 11\/13\/2012\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 263\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.90lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.10h x 6.10w x 0.60d","brand":"Dirk Van Dalen","offers":[{"title":"Paperback","offer_id":43935818514687,"sku":"9781447145578","price":79.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_5cdecf7c-b5a5-4757-8dc3-ed09fe1d21a3.jpg?v=1681421986","url":"https:\/\/www.whiterainbookhouse.com\/products\/logic-and-structure-dirk-van-dalen-9781447145578","provider":"WR Book House","version":"1.0","type":"link"}