From
ZBK Books, Carlstadt, NJ, U.S.A.
Seller rating 5 out of 5 stars
AbeBooks Seller since 10 March 2023
Fast & Free Shipping â Very good condition with a clean, sturdy cover and crisp pages. Gently used with only minor shelf wear. May include a few subtle marks, but overall a well-maintained copy ready to enjoy.Supplemental items like CDs or access codes may not be included. Seller Inventory # ZWV.1904987346.VG
Russell's paradox arises when we consider those sets that do not belong to themselves. The collection of such sets cannot constitute a set. Step back a bit. Logical formulas define sets (in a standard model). Formulas, being mathematical objects, can be thought of as sets themselves-mathematics reduces to set theory. Consider those formulas that do not belong to the set they define. The collection of such formulas is not definable by a formula, by the same argument that Russell used. This quickly gives Tarski's result on the undefinability of truth. Variations on the same idea yield the famous results of Gödel, Church, Rosser, and Post. This book gives a full presentation of the basic incompleteness and undecidability theorems of mathematical logic in the framework of set theory. Corresponding results for arithmetic follow easily, and are also given. Gödel numbering is generally avoided, except when an explicit connection is made between set theory and arithmetic. The book assumes little technical background from the reader. One needs mathematical ability, a general familiarity with formal logic, and an understanding of the completeness theorem, though not its proof. All else is developed and formally proved, from Tarski's Theorem to Gödel's Second Incompleteness Theorem. Exercises are scattered throughout.
Title: Incompleteness in the Land of Sets (Studies ...
Publisher: College Publications
Publication Date: 2007
Binding: Soft cover
Condition: very_good
Seller: Chiron Media, Wallingford, United Kingdom
Paperback. Condition: New. Seller Inventory # 6666-IUK-9781904987345
Quantity: 10 available
Seller: Ria Christie Collections, Uxbridge, United Kingdom
Condition: New. In. Seller Inventory # ria9781904987345_new
Quantity: Over 20 available
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Condition: New. Seller Inventory # 5079489-n
Quantity: Over 20 available
Seller: Rarewaves.com UK, London, United Kingdom
Paperback. Condition: New. Seller Inventory # LU-9781904987345
Quantity: Over 20 available
Seller: BooksRun, Philadelphia, PA, U.S.A.
Paperback. Condition: Good. It's a preowned item in good condition and includes all the pages. It may have some general signs of wear and tear, such as markings, highlighting, slight damage to the cover, minimal wear to the binding, etc., but they will not affect the overall reading experience. Seller Inventory # 1904987346-11-1
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: As New. Unread book in perfect condition. Seller Inventory # 5079489
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
PAP. Condition: New. New Book. Delivered from our UK warehouse in 4 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Seller Inventory # L0-9781904987345
Quantity: Over 20 available
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: New. Seller Inventory # 5079489-n
Seller: ThriftBooks-Atlanta, AUSTELL, GA, U.S.A.
Paperback. Condition: Fair. No Jacket. Readable copy. Pages may have considerable notes/highlighting. ~ ThriftBooks: Read More, Spend Less. Seller Inventory # G1904987346I5N00
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Paperback. Condition: New. Seller Inventory # LU-9781904987345
Quantity: Over 20 available