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Description
Set Theory and the Continuum ProblemA lucid, elegant, and complete survey of set theory, this volume is drawn from the authors' substantial teaching experience. The first of three parts focuses on axiomatic set theory. The second part explores the consistency of the continuum hypothesis, and the final section examines forcing and independence results. Part One's focus on axiomatic set theory features nine chapters that examine problems related to size comparisons between infinite sets,
A lucid, elegant, and complete survey of set theory, this volume is drawn from the authors' substantial teaching experience. The first of three parts focuses on axiomatic set theory. The second part explores the consistency of the continuum hypothesis, and the final section examines forcing and independence results.Part One's focus on axiomatic set theory features nine chapters that examine problems related to size comparisons between infinite sets, basics of class theory, and natural numbers. Additional topics include author Raymond Smullyan's double induction principle, super induction, ordinal numbers, order isomorphism and transfinite recursion, and the axiom of foundation and cardinals. The six chapters of Part Two address Mostowski-Shepherdson mappings, reflection principles, constructible sets and constructibility, and the continuum hypothesis. The text concludes with a seven-chapter exploration of forcing and independence results. This treatment is noteworthy for its clear explanations of highly technical proofs and its discussions of countability, uncountability, and mathematical induction, which are simultaneously charming for experts and understandable to graduate students of mathematics.
Binding Type: Paperback
Publisher: Dover Publications
Published: 05/20/2010
ISBN: 9780486474847
Pages: 315
Weight: 0.85lbs
Size: 8.90h x 5.90w x 0.80d
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★★★★★ 5
My pup loved it.
Color: Red
“Bought this for my dog Loki and it was an instant hit. He usually loses interest in toys pretty quickly, but this ball kept him entertained way longer than expected. The lights and movement immediately grabbed his attention, and he spent a solid hour chasing, pawing, and carrying it around the house.
It’s durable enough for excited play, easy to charge/use, and even survived Loki’s dramatic ‘victory laps’ through the living room. Bonus: it tired him out enough for an actual nap afterward. Definitely worth it for high-energy dogs or curious pets.”
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Reviewed in the United States on May 14, 2026
★★★★★ 5
Great toy to occupy pet
Color: Red, Color: Red
This ball is super fast, and lasts very long on one charge. It really keeps my cat entertained, he’s just so curious about it. It’s easy to pick out dust any hair it might catch on, it’s rubber material is durable. It’s a stable toy since my cat likes to play roughly.
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Reviewed in the United States on May 16, 2026
★★★★★ 5
Great for Puppies!
Color: Red
This toy has been a great purchase for my new puppy! He has so much fun playing with it and stays engaged for long periods. While it can move a little fast at first, the adjustable speed settings make it easy to customize. Overall, it’s a fantastic toy that keeps him active, entertained, and happy.
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Reviewed in the United States on June 12, 2026
★★★★★ 4
Good for (non-destructive) small dogs
Color: Red
Bought for a small dog, would not recommend for a destructive chewer. After some initial hesitation this has become her favorite toy and keeps her entertained for a good while. The different settings provide some variety to how she can play with it. The battery only lasts about an hour, but it does charge quickly. As others have noted the string is garbage.
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Reviewed in the United States on June 6, 2026
★★★★★ 5
Cool gadget for you puppy!
Color: Red
Do you need a break sometime? Something that you puppy can play with for 20 or 30 minutes at a time? This is it! It goes around the place in random paths that will keep your puppy entertained and amusedZ. It not to loud and it lasts a long time and nothing has broken off form the rough play at all.
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Reviewed in the United States on June 9, 2026
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