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A Profile of Mathematical Logic (Dover Books on Mathematics)by Howard Delong
Synopses & ReviewsPublisher Comments:Anyone seeking a readable and relatively brief guide to logic can do no better than this classic introduction. A treat for both the intellect and the imagination, it profiles the development of logic from ancient to modern times and compellingly examines the nature of logic and its philosophical implications. No prior knowledge of logic is necessary; readers need only an acquaintance with high school mathematics. The author emphasizes understanding, rather than technique, and focuses on such topics as the historical reasons for the formation of Aristotelian logic, the rise of mathematical logic after more than 2,000 years of traditional logic, the nature of the formal axiomatic method and the reasons for its use, and the main results of metatheory and their philosophic import. The treatment of the Gödel metatheorems is especially detailed and clear, and answers to the problems appear at the end. Book News Annotation:Delong's classic, written for those with no more than high school mathematics, describes how traditional logic, which remained intact and virtually sacrosanct from the Stoics to the nineteenth century, changed substantially when confronted with the rediscovery and application of nonEuclidean geometry and set theory. When mathematical logic emerged, with the formal axiomatic method and the metatheories of propositional and predicate calculi, it passed into the theory of recursive functions and the metatheories of arithmetic and set functions and on to philosophical implications. This edition includes the original problems and their solutions, annotated bibliography, and appendices by Lewis Carroll. Cited in Books for College Libraries, 3d ed. The Dover edition is a reprint of the 1970 work.
Annotation ©2004 Book News, Inc., Portland, OR (booknews.com) Synopsis:This introduction to mathematical logic explores philosophical issues and Gödel's Theorem. Its widespread influence extends to the author of Gödel, Escher, Bach, whose Pulitzer Prize–winning book was inspired by this work. Synopsis:This text explores the historical reasons for the formation of Aristotelian logic, the rise of mathematical logic, the nature of the formal axiomatic method and its use, and the main results of metatheory and their import. 1971 edition. Includes 22 figures and 19 tables. Appendixes. Bibliography. Indexes. Synopsis:This text explores the historical reasons for the formation of Aristotelian logic, the rise of mathematical logic, the nature of the formal axiomatic method and its use, and the main results of metatheory and their import. 1971 edition. Includes 22 figures and 19 tables. Appendixes. Bibliography. Indexes. Table of Contents1. Historical background of mathematical logic.
2. Period of transition. 3. Mathematical logic. 4. The metatheory of mathematical logic. 5. Philosophical implications of mathematical logic. Epilog. Appendixes. Answers to Problems. Bibliography. Indexes. What Our Readers Are SayingBe the first to add a comment for a chance to win!Product Details
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