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Lectures in Logic and Set Theory: Volume 1, Mathematical Logic (Cambridge Studies in Advanced Mathematics, Series Number 82) - Softcover
Synopsis
Meant as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy, this two-volume work is written in a user-friendly conversational lecture style that makes it equally effective for self-study or class use.Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques based on formal logic, in the style of Bourbaki. This provides the reader with a solid foundation in set theory, while the inclusion of topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing, will usher the advanced reader to the doorstep of the research literature.
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Book Description
Meant as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy, this two-volume work is written in a user-friendly conversational lecture style that makes it equally effective for self-study or class use.Volume II, on formal (ZFC) set theory, incorporates a self-contained "chapter 0" on proof techniques based on formal logic, in the style of Bourbaki. This provides the reader with a solid foundation in set theory, while the inclusion of topics such as absoluteness, relative consistency results, two expositions of Godel's constructible universe, numerous ways of viewing recursion, and a chapter on Cohen forcing, will usher the advanced reader to the doorstep of the research literature.
Review
"A thorough and complete resource for "one of the most remarkable theorems of logic." George Tourlakis' Mathematical Logic is a highly worthwhile addition the the literature."
Robert Mignone, The Review of Modern Logic
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Lectures in Logic and Set Theory: Volume I: Mathematical Logic (Cambridge Studies in Advanced Mathematics)
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Lectures in Logic and Set Theory: Volume 1, Mathematical Logic (Cambridge Studies in Advanced Mathematics, Series Number 82)
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ISBN 10: 0521168465
ISBN 13: 9780521168465
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Lectures in Logic and Set Theory: Volume 1, Mathematical Logic (Paperback)
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ISBN 10: 0521168465
ISBN 13: 9780521168465
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Paperback. Condition: new. Paperback. This two-volume work bridges the gap between introductory expositions of logic (or set theory) and the research literature. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly lecture style that makes them equally effective for self-study or class use. Volume I includes formal proof techniques, applications of compactness (including nonstandard analysis), computability and its relation to the completeness phenonmenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen. This work includes formal proof techniques, a section on applications of compactness, a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521168465
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Lectures in Logic and Set Theory: Mathematical Logic: Vol 1
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Lectures in Logic and Set Theory: Volume 1, Mathematical Logic
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Lectures in Logic and Set Theory: Volume 1, Mathematical Logic (Cambridge Studies in Advanced Mathematics, Series Number 82)
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Lectures in Logic and Set Theory: Volume I: Mathematical Logic (Cambridge Studies in Advanced Mathematics)
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Lectures in Logic and Set Theory: Volume 1, Mathematical Logic (Paperback)
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Paperback. Condition: new. Paperback. This two-volume work bridges the gap between introductory expositions of logic (or set theory) and the research literature. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly lecture style that makes them equally effective for self-study or class use. Volume I includes formal proof techniques, applications of compactness (including nonstandard analysis), computability and its relation to the completeness phenonmenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen. This work includes formal proof techniques, a section on applications of compactness, a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780521168465
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Lectures in Logic and Set Theory: Volume 1, Mathematical Logic (Paperback)
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ISBN 10: 0521168465
ISBN 13: 9780521168465
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Paperback. Condition: new. Paperback. This two-volume work bridges the gap between introductory expositions of logic (or set theory) and the research literature. It can be used as a text in an advanced undergraduate or beginning graduate course in mathematics, computer science, or philosophy. The volumes are written in a user-friendly lecture style that makes them equally effective for self-study or class use. Volume I includes formal proof techniques, applications of compactness (including nonstandard analysis), computability and its relation to the completeness phenonmenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen. This work includes formal proof techniques, a section on applications of compactness, a generous dose of computability and its relation to the incompleteness phenomenon, and the first presentation of a complete proof of Godel's 2nd incompleteness since Hilbert and Bernay's Grundlagen theorem. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780521168465
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Lectures in Logic and Set Theory
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