Classical Mathematical Logic

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    Classical Mathematical Logic
    The Semantic Foundations of Logic
    By: Richard L. Epstein
    Publisher:
    Princeton University Press
    Print ISBN: 9780691123004, 0691123004
    eText ISBN: 9781400841554, 1400841550
    Pages: 544
    Copyright year: 2006
    Format: EPUB
    Available from $ 140.00 USD
    SKU 9781400841554
    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.
     

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