{"product_id":"logic-and-structure","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","brand":"MediaPlace","offers":[{"title":"Default Title","offer_id":57318133105022,"sku":"NW9781447145578","price":70.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1379\/1261\/files\/9781447145578.jpg?v=1778723449","url":"https:\/\/mediaplace.com\/en-usa\/products\/logic-and-structure","provider":"MediaPlace","version":"1.0","type":"link"}