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Description
The Philosophy of Set Theory: An Historical Introduction to Cantor's ParadiseA century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical reality for a hierarchy of infinities. Cantor's innovation was opposed, and ignored, by the establishment; years later, the value of his work was recognized and appreciated as a landmark in mathematical thought, forming the beginning of set theory and
A century ago, Georg Cantor demonstrated the possibility of a series of transfinite infinite numbers. His methods, unorthodox for the time, enabled him to derive theorems that established a mathematical reality for a hierarchy of infinities. Cantor's innovation was opposed, and ignored, by the establishment; years later, the value of his work was recognized and appreciated as a landmark in mathematical thought, forming the beginning of set theory and the foundation for most of contemporary mathematics.As Cantor's sometime collaborator, David Hilbert, remarked, "No one will drive us from the paradise that Cantor has created." This volume offers a guided tour of modern mathematics' Garden of Eden, beginning with perspectives on the finite universe and classes and Aristotelian logic. Author Mary Tiles further examines permutations, combinations, and infinite cardinalities; numbering the continuum; Cantor's transfinite paradise; axiomatic set theory; logical objects and logical types; and independence results and the universe of sets. She concludes with views of the constructs and reality of mathematical structure.
Philosophers with only a basic grounding in mathematics, as well as mathematicians who have taken only an introductory course in philosophy, will find an abundance of intriguing topics in this text, which is appropriate for undergraduate-and graduate-level courses.
Binding Type: Paperback
Publisher: Dover Publications
Published: 06/18/2004
ISBN: 9780486435206
Pages: 239
Weight: 0.62lbs
Size: 8.48h x 5.36w x 0.56d
Review Citations: Scitech Book News 12/01/2004 pg. 14
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★★★★★ 4
Cute toy, not a loud squeak
Color: Original Pack
The toy is a good size for medium to large dogs. It's very hard to squeak it but it's fairly durable and super quirky!
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Reviewed in the United States on January 24, 2025
★★★★★ 5
great for my dog!
Color: Original Pack
my pup absolutely loves this haha! my girl is a major chewer and normally destroys her toys and so far it’s still in shape!
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Reviewed in the United States on June 10, 2026
★★★★★ 5
My pup loves these
Color: Tropical Pack
Super cute toys. My pup loves them.
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Reviewed in the United States on January 22, 2026
★★★★★ 5
Hana approved, gold star toy
Color: Original Pack, Color: Original Pack
This is, according to Amazon, our 11th set in 3 months. According to Hana, our shiba/chi mix, this toy is immaculate. Crunch score is a 10/10 and the squeak? Don't get her started. High pitched, easy to squeak and protected by just enough crunch and fabric that it actually lasts. In fact, she will tear the toy open before the squeaker gives up. This may seem like a small feat, however most toys last 12-30 minutes before the teefies take the squeaker out of commission. Lambchops last about 15 minutes before the squeaker gives in and fluff decorates the floor. The only reason we buy so many so often is because 1. The teefies do eventually puncture and the moment that happens she guts the poor Claw instantly. And 2. She has about 11 teefies, so the mouth gets kinda icky and due to the crunch, washing these kind of sucks- retains a lot of water and cant dry. So we replace them often even if she doesn't get to the gutting.
10/10. Its her favorite toy. And we've tested a lot of toys.
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Reviewed in the United States on May 17, 2026
★★★★★ 5
These are ADORABLE!
Color: Tropical Pack, Color: Tropical Pack
These are adorable! I got them as a gift for my in-laws pups and when I was taking pics of them my dog now wants them soooo I’m going to order more for her! They are so soft and the details are hilarious! Just be careful because the pawcohol content is pretty high so I’m sure your dog will be feeling it after just one! 🤣🤣🤣🤣🤣
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Reviewed in the United States on December 17, 2025
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