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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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4.7 ★★★★★
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Product Reviews
★★★★★ 5
Durable
Color: Dogwood (Brown), Size: Large (Pack of 1)
Durable, good chew toy.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on June 8, 2026
★★★★★ 5
GREAT TOY
Color: Dogwood (Brown), Size: Large (Pack of 1)
My 6m old Shepard Terrier LOVES this toy. He loves chewing on wood and we’ve gotten him all types of chew toys but I’ve never seen any toy keep him this busy and interested. Buy if ur dog chews furniture!!!!
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on June 13, 2026
★★★★★ 4
Large is a little big for Bostons
Color: Dogwood (Brown), Size: Large (Pack of 1)
Seems to be durable for 2 VERY agressive chewer Boston Terriers. Cricket and Alice are shockingly good at chewing - grateful they pick to do so with thier toys.
Trial vs other name brand competitor.
PetStages' is a little larger so harder to bite on fir small dogs, but seems to be equally durable. While PetStages proudly states it has real wood fiber and scent (whoch I thought would win)... they prefered the other. Both dogs love to chew on real sticks.
But, when the bossy one indicated she was taking over the stick the other dog had, they exchanged, and kept chewing, over and over, back and forth. I mean to say, whatever the prefered stick was at first didnt seem to matter later.
These super hard chew toys do make me nervous. One dog broke a tooth last summer on a different brand toy, a very expensive extraction bill, and poor pup's terrible discomfort... but the other did not and has amazing white teeth, all around.... so.
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Reviewed in the United States on September 26, 2025
★★★★★ 5
Great for teething puppies
Color: Dogwood (Brown), Size: Small (Pack of 1)
My pup absolutely loves this. Can keep him occupied for up to 45 min at a time. Pretty durable, too.
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Reviewed in the United States on May 8, 2026
★★★★★ 5
The best chew ever for a strong chewer
Color: Dogwood (Brown), Size: Large (Pack of 1)
We have a 77lb goldendoodle who loves these. We’re lucky because he doesn’t chew on anything other than his toys, but when he starts on this…he really goes at it. It’s healthy, (not synthetic), doesn’t break apart, (no pieces to worry about him swallowing), it just perfect for him. The noise may get on your nerves but it’s a small price to pay to keep him from chewing on your furniture, shoes, or anything else a mischievous dog can find.
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Reviewed in the United States on May 30, 2026
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