{"product_id":"9780470280744","title":"Mathematical Logic","description":"\u003ch1\u003eMathematical Logic\u003c\/h1\u003e\u003ch3\u003eGeorge Tourlakis\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Logic\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003eA comprehensive and user-friendly guide to the use of logic in mathematical reasoning  \u003cp\u003e\u003ci\u003eMathematical Logic\u003c\/i\u003e presents a comprehensive introduction to formal methods of logic and their use as a reliable tool for deductive reasoning. With its user-friendly approach, this book successfully equips readers with the key concepts and methods for formulating valid mathematical arguments that can be used to uncover truths across diverse areas of study such as mathematics, computer science, and philosophy.\u003c\/p\u003e \u003cp\u003eThe book develops the logical tools for writing proofs by guiding readers through both the established \"Hilbert\" style of proof writing, as well as the \"equational\" style that is emerging in computer science and engineering applications. Chapters have been organized into the two topical areas of Boolean logic and predicate logic. Techniques situated outside formal logic are applied to illustrate and demonstrate significant facts regarding the power and limitations of logic, such as:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eLogic can certify truths and only truths.\u003c\/li\u003e \u003cli\u003eLogic can certify all absolute truths (completeness theorems of Post and Gödel).\u003c\/li\u003e \u003cli\u003eLogic cannot certify all \"conditional\" truths, such as those that are specific to the Peano arithmetic. Therefore, logic has some serious limitations, as shown through Gödel's incompleteness theorem.\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eNumerous examples and problem sets are provided throughout the text, further facilitating readers' understanding of the capabilities of logic to discover mathematical truths. In addition, an extensive appendix introduces Tarski semantics and proceeds with detailed proofs of completeness and first incompleteness theorems, while also providing a self-contained introduction to the theory of computability.\u003c\/p\u003e \u003cp\u003eWith its thorough scope of coverage and accessible style, \u003ci\u003eMathematical Logic\u003c\/i\u003e is an ideal book for courses in mathematics, computer science, and philosophy at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers and practitioners who wish to learn how to use logic in their everyday work.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e \u003cb\u003eGEORGE TOURLAKIS, PhD\u003c\/b\u003e, is University Professor of Computer Science and Engineering at York University, Canada. Dr. Tourlakis has authored or coauthored numerous articles in his areas of research interest, which include calculational logic, modal logic, computability, complexity theory, and arithmetical forcing.\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e02 September 2008\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eWiley\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eWiley-Interscience\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9780470280744\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003eHardback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e312\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eWeight (oz): \u003c\/td\u003e\n\u003ctd\u003e20.16\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":44384847265932,"sku":"9780470280744","price":116.06,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780470280744_1be29db2-5d78-4476-8bc2-50162c9c24f3.jpg?v=1780197109","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9780470280744","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}