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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
Excellent Steam Mop – Easy to Use and Cleans Great!
I am very happy with this steamer mop. It heats up quickly, is easy to use, and does a great job cleaning my floors without harsh chemicals. It removes dirt and stains effectively, and the floors dry fast after use. The mop is lightweight and easy to maneuver around furniture. Overall, it's a great value and makes cleaning much easier. I highly recommend it!
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Reviewed in the United States on June 1, 2026
★★★★★ 5
Excellent product. Does great work.
I’ve only had it for one day but have used it on my whole house already, laminate and tile. I LOVE it with all my heart. ❤️ i know my floors are actually getting cleaned and not just wet. It makes mopping so easy.
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I used just water and they look great. I also tried a demineralized water product (different brand) with eucalyptus scent. That stuff left film on my laminate but can’t see any residue on the tile. I’ll probably use what left on tile only so it doesn’t go to waste but after that I’m using water only. I went over the laminate later with just water and now it’s fine. Heats up and ready for use in just 18 seconds to 260F. Best cleaning product I ever bought.
Btw the handle is supposed to click in permanently. Mine didn’t. I can pull it out. But I’ve done the whole house and was never an issue so no bother.
If I have any issues I’ll update this post.
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Reviewed in the United States on May 12, 2026
★★★★★ 5
Steam Mop
I recently purchased this steam mop and have been very impressed with its performance. It heats up quickly and does an excellent job cleaning my floors without the need for harsh chemicals. The steam easily removes dirt, grime, and sticky spots, leaving my floors looking clean and refreshed.
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Reviewed in the United States on June 3, 2026
★★★★★ 5
Great steam mop!
This is a nice steam mop. Setup was quick and straightforward, and it was ready to use within minutes. The steam heats up fast and does an excellent job cleaning without the need for harsh chemicals.
The biggest thing I noticed was how clean my floors looked afterward. It removed dirt, dried spills, and everyday grime with very little effort. My tile floors were left looking spotless and felt squeaky clean underfoot. The steam also helped lift residue that my regular mop would often leave behind.
I have pets and kids, so I appreciate being able to deep clean using steam instead of relying on strong cleaning products. The handheld attachment is useful for tackling smaller jobs around the house, including bathroom surfaces and other hard-to-reach areas.
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Reviewed in the United States on May 25, 2026
★★★★★ 4
Incredible little steam mop!
The Steam mop was easily put together by my 12 year old daughter. I put distilled water in it and turned it on, and within seconds, it was ready to use. I was very impressed how the steam mop cleaned my ceramic tiles in the kitchen. It left the tiles streak free and shiny. I haven't tried the tile accessory tool but I'm sure it won't disappoint. Finally, I used it on my LVP and it was fantastic! The steam mop was incredibly easy to use and it cleaned the LVP without leaving any residue or streaks. Overall this steam mop was inexpensive and performed better than expected. Buy it !
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Reviewed in the United States on June 4, 2026