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Description
An Introduction to Mathematical LogicWidely praised for its clarity and thorough coverage, this comprehensive overview of mathematical logic is suitable for readers of many different backgrounds. Designed primarily for advanced undergraduates and graduate students of mathematics, the treatment also contains much of interest to advanced students in computer science and philosophy. An introductory section prepares readers for successive chapters on propositional logic and first order
Widely praised for its clarity and thorough coverage, this comprehensive overview of mathematical logic is suitable for readers of many different backgrounds. Designed primarily for advanced undergraduates and graduate students of mathematics, the treatment also contains much of interest to advanced students in computer science and philosophy.An introductory section prepares readers for successive chapters on propositional logic and first-order languages and logic. Subsequent chapters shift in emphasis from an approach to logic from a mathematical point of view to the interplay between mathematics and logic. Topics include the theorems of G del, Church, and Tarski on incompleteness, undecidability, and indefinability; a rigorous treatment of recursive functions and recursive relations; computability theory; and Hilbert's Tenth Problem. Numerous exercises appear throughout the text, and an appendix offers helpful background on number theory.
Binding Type: Paperback
Publisher: Dover Publications
Published: 02/20/2013
ISBN: 9780486497853
Pages: 491
Weight: 1.40lbs
Size: 8.90h x 5.90w x 1.10d
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4.7 ★★★★★
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★★★★★ 5
Best money spent on a safe puppy chew toy
Size: X-Small, Size: X-Small
One of the best chew toys you can buy for your puppy! This kept him occupied for quite a while and it is one of his favorites.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 24, 2026
★★★★★ 4
Had a 6mo. old teething (English Bulldog) & this has entertained her for 9 mo.!
Size: Medium, Size: Medium
A chew toy lasting over 6 mo. is generally very good, for this breed & this brand! I kept it in her cage at night, so she wouldn't get board & start chewing on her paws. BC I felt it was a safe toy to use in this manner. "It was safe for my teething Bulldog." "Much, much better than other chew toys from this brand!" Others such as the Orange Pretzel they absolutely love! However, they have always splintered into very sharp edges of plastic, which cause the dogs mouth's to bleed (pokes their gums) & then NEED THROWN AWAY! This Key Chain Chew Toy was "really good" compared to other Nylabone brand chew toys, I have purchased! My girls mouth did not bleed from chewing on it:) "So, I am very pleased with this teething ring!" & would buy it again! Notice how the plastic splinters on the ends? Once the toy gets to his point I feel it is definitely time to be replaced! I would recommend this chew toy for a teething med. sized dog! The one I purchased was fairly large. & stayed together safely:) This is the only Nylabone Chew Toy I would ever, leave in a crate at night, thus far! Good Job Nylabone!
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Reviewed in the United States on July 5, 2022
★★★★★ 5
Great teething aid
Size: Small
Puppy loves these. I’ve repurchased a couple of times for my teething pup.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on March 1, 2026
★★★★★ 5
My dogs love their "keys".
Size: X-Small
My dog loves this. The only negative is that he does chew through it and I have to pick up the pieces or hope that he's not eating it.
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Reviewed in the United States on January 29, 2026
★★★★★ 3
Not long lasting for a chewer!
Size: Medium
These are massive! I have a golden retriever puppy and she chewed through the yellow ring very quickly. They keys are much more durable.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on March 25, 2026
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