{"product_id":"consequence-relations-alex-citkin-9780192866417","title":"Consequence Relations: An Introduction to the Lindenbaum-Tarski Method","description":"The publication of Rasiowa and Sikorski's \u003cem\u003eThe Mathematics of Metamathematics\u003c\/em\u003e (1970), Rasiowa's \u003cem\u003eAn Algebraic Approach to Non-Classical Logics\u003c\/em\u003e (1974), and Wcicki's \u003cem\u003eTheory of Logical Calculi\u003c\/em\u003e (1988) created a niche in the field of mathematical and philosophical logic. This in-depth study of the concept of a consequence relation, culminating in the concept of a Lindenbaum-Tarski algebra, fills this niche. Citkin and Muravitsky consider the problem of obtaining confirmation that a statement is a consequence of a set of statements as prerequisites, on the one hand, and the problem of demonstrating that such confirmation does not exist in the structure under consideration, on the other hand. For the second part of this problem, the concept of the Lindenbaum-Tarski algebra plays a key role, which becomes even more important when the considered consequence relation is placed in the context of decidability. This role is traced in the book for various formal objective languages. \u003cp\u003e\u003c\/p\u003eThe work also includes helpful exercises to aid the reader's assimilation of the book's material. Intended for advanced undergraduate and graduate students in mathematics and philosophy, this book can be used to teach special courses in logic with an emphasis on algebraic methods, for self-study, and also as a reference work.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Alex Citkin, Alexei Muravitsky\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0192866419\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780192866417\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Oxford University Press, USA\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/19\/2022\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 352\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.58lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.46h x 6.40w x 0.88d","brand":"Alex Citkin","offers":[{"title":"Hardcover","offer_id":44966307463423,"sku":"9780192866417","price":90.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_6df76e81-6e48-4347-95ea-90eba0a8af8d.jpg?v=1711159470","url":"https:\/\/www.whiterainbookhouse.com\/products\/consequence-relations-alex-citkin-9780192866417","provider":"WR Book House","version":"1.0","type":"link"}