{"product_id":"three-views-of-logic-donald-w-loveland-9780691160443","title":"Three Views of Logic: Mathematics, Philosophy, and Computer Science","description":"\u003cp\u003e\u003cb\u003eThe first interdisciplinary textbook to introduce students to three critical areas in applied logic\u003c\/b\u003e \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003eDemonstrating the different roles that logic plays in the disciplines of computer science, mathematics, and philosophy, this concise undergraduate textbook covers select topics from three different areas of logic: proof theory, computability theory, and nonclassical logic. The book balances accessibility, breadth, and rigor, and is designed so that its materials will fit into a single semester. Its distinctive presentation of traditional logic material will enhance readers' capabilities and mathematical maturity. \u003cp\u003e\u003c\/p\u003eThe proof theory portion presents classical propositional logic and first-order logic using a computer-oriented (resolution) formal system. Linear resolution and its connection to the programming language Prolog are also treated. The computability component offers a machine model and mathematical model for computation, proves the equivalence of the two approaches, and includes famous decision problems unsolvable by an algorithm. The section on nonclassical logic discusses the shortcomings of classical logic in its treatment of implication and an alternate approach that improves upon it: Anderson and Belnap's relevance logic. Applications are included in each section. The material on a four-valued semantics for relevance logic is presented in textbook form for the first time. \u003cp\u003e\u003c\/p\u003eAimed at upper-level undergraduates of moderate analytical background, \u003ci\u003eThree Views of Logic\u003c\/i\u003e will be useful in a variety of classroom settings.\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eGives an exceptionally broad view of logic\u003c\/li\u003e\n\u003cli\u003eTreats traditional logic in a modern format\u003c\/li\u003e\n\u003cli\u003ePresents relevance logic with applications\u003c\/li\u003e\n\u003cli\u003eProvides an ideal text for a variety of one-semester upper-level undergraduate courses\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Donald W. Loveland, Richard Hodel, S. G. Sterrett\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0691160449\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780691160443\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Princeton University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 01\/26\/2014\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 344\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.55lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.90h x 7.00w x 0.90d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 09\/01\/2014 pg. 116","brand":"Donald W. Loveland","offers":[{"title":"Paperback","offer_id":46372306649343,"sku":"9780691160443","price":60.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_0f417227-51dd-454a-9e39-53cad8a78b4b.jpg?v=1732725585","url":"https:\/\/www.whiterainbookhouse.com\/products\/three-views-of-logic-donald-w-loveland-9780691160443","provider":"WR Book House","version":"1.0","type":"link"}