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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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★★★★★ 5
They Shouldn’t Work But Here We Are
Size: 13 Little Kid, Color: Mystic Purple
Let’s address the elephant in the room: Crocs look like a rubber cheese grater had a baby with a sandal. And yet somehow these things are a parenting cheat code. The comfort is unreal (10/10). Kids slip them on and suddenly they’re walking on clouds, bouncing around like tiny caffeinated marshmallows. Cleaning them is almost suspiciously easy (10/10) mud, juice, questionable playground goo just rinse and move on like nothing ever happened. The ventilation holes (9/10) actually do their job, keeping little feet from becoming sweaty disasters, though they also double as convenient entry points for sand, pebbles, and whatever treasures your kid decides to collect.
Style wise (7/10), look… no one is winning fashion awards here, but kids love them and confidence is half the battle. The heel strap (9/10) deserves a medal flip it back and suddenly your child enters “sport mode” like a video game character with boosted speed stats. The color options (10/10) are wild enough to satisfy even the most chaotic tiny human, from neon explosions to surprisingly normal shades. They’re ridiculously lightweight (10/10), which is great until your kid forgets they’re wearing them and tries to wear them to bed.
Durability (9/10) is solid they can handle running, jumping, puddle stomping, and general kid nonsense without falling apart. And the independence factor (10/10) Huge. No laces, no struggle, no dramatic “I can’t do it!” moments just slip on and go. Crocs as a brand (9/10) clearly know their lane comfort over cool, and honestly, it works.
Final Score: 9.2/10
They may not be pretty, but they’re practical, indestructible, and weirdly lovable like the chicken nuggets of footwear
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Reviewed in the United States on March 29, 2026
★★★★★ 5
Comfy and great quality
Size: 3 Little Kid, Color: Blue Bolt
Perfect fit and comfortable!
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Reviewed in the United States on May 15, 2026
★★★★★ 5
Kid friendly
Size: 6 Big Kid, Color: Blue Calcite
Easy to slip on, and simple to clean, which is really convenient. My child says they’re comfortable for playing outside and wearing around the house. The only downside is they can get a little slippery on wet surfaces, and the fit seems slightly wide. Overall, they’re durable and practical, but maybe not the best option for every activity. I buy new crocs for my kids every year, we love it! Add little charms to create your child’s own croc style.
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Reviewed in the United States on May 20, 2026
★★★★★ 4
Expensive and Ugly
Size: 3 Little Kid, Color: Blue Bolt
My grandson loves and wears crocs all the time so he really appreciated a new pair of them. I personally think they’re ugly and would never wear. Rubber shoes?! Ridiculous. There’s plenty of other stylish and nice looking shoes that are just as comfortable. The cost of crocs is crazeeee! That’s why I will only give 4 stars. However, it was all about pleasing my grandkid.
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Reviewed in the United States on March 2, 2026
★★★★★ 5
Good looking shirts. Will not disappoint.
Size: Large, Color: Carbon Heather
These shirts are a great quality. They wash great with no shrinkage. They are very comfortable based on my husband’s feedback. They look as advertised. The variation in colors were perfect. The size fits perfectly. My husband is an XL for the long sleeve but a L for the short sleeved Carhartt T-shirts. The neckline is comfortable. Would recommend to others and will be purchasing more.
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Reviewed in the United States on April 21, 2026
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