TY - BOOK ID - 17082250 TI - Classical mathematical logic : the semantic foundations of logic AU - Epstein, Richard L. AU - Szczerba, Leslaw W. PY - 2006 SN - 0691123004 9780691123004 1283519283 9786613831736 1400841550 9781400841554 PB - Princeton (N.J.): Princeton university press, DB - UniCat KW - Logic, symbolic and mathematical KW - Semantics (Philosophy) KW - Logic, Symbolic and mathematical. KW - Intension (Philosophy) KW - Logical semantics KW - Semantics (Logic) KW - Semeiotics KW - Significs KW - Syntactics KW - Unified science KW - Language and languages KW - Logic, Symbolic and mathematical KW - Logical positivism KW - Meaning (Psychology) KW - Philosophy, Modern KW - Semiotics KW - Signs and symbols KW - Symbolism KW - Analysis (Philosophy) KW - Definition (Philosophy) KW - Algebra of logic KW - Logic, Universal KW - Mathematical logic KW - Symbolic and mathematical logic KW - Symbolic logic KW - Mathematics KW - Algebra, Abstract KW - Metamathematics KW - Set theory KW - Syllogism KW - Mathematics and statistics KW - Mathematics and statistics - Textbooks UR - https://www.unicat.be/uniCat?func=search&query=sysid:17082250 AB - In Classical Mathematical Logic, Richard L. Epstein relates the systems of mathematical logic to their original motivations to formalize reasoning in mathematics. The book also shows how mathematical logic can be used to formalize particular systems of mathematics. It sets out the formalization not only of arithmetic, but also of group theory, field theory, and linear orderings. These lead to the formalization of the real numbers and Euclidean plane geometry. The scope and limitations of modern logic are made clear in these formalizations. The book provides detailed explanations of all proofs and the insights behind the proofs, as well as detailed and nontrivial examples and problems. The book has more than 550 exercises. It can be used in advanced undergraduate or graduate courses and for self-study and reference. Classical Mathematical Logic presents a unified treatment of material that until now has been available only by consulting many different books and research articles, written with various notation systems and axiomatizations. ER -