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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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4.0 ★★★★★
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Product Reviews
★★★★★ 5
After Wasting Money on Kids Tablets… I got these. *Demo Video with 2 Devices*
Color: Gray, Size: 128 GB, Style: Tab A11+, Color: Gray, Size: 128 GB, Style: Tab A11+
I originally bought this tablet for my younger daughter, and after a full year of daily use, I ended up buying it again — and then a third time. Both of my kids (ages 7 and 14) now use the exact same tablet, just with different setups.
And honestly? It’s been a much better choice than any “kids tablet” we’ve tried in the past.
🧠 Why I chose this over a kids tablet:
I’ve purchased multiple kids-specific tablets before, and they were a waste of money.
They were:
slow to load
limited to preset apps
low storage
restricted controls
frustrating to use overall
With this, I can: 👉 set my own parental controls
👉 allow only what I want
👉 still give my kids a fully functional device
It’s a normal tablet — and that’s exactly why it works better.
👩👧👧 Real-life use (2 kids, same tablet)
Both of my daughters use this daily, but in completely different ways:
7-year-old (1 year of use):
YouTube (including shorts — no buffering issues)
Kids games (Google Play)
School work
Taking photos
14-year-old (new user):
Drawing (Ibis Paint X)
Internet browsing
Occasional games
It handles BOTH without any issues.
⚡ Performance & usability
Fast, smooth loading — no lag for everyday use
Can run multiple apps/tabs easily
No overheating, even with extended use
Strong, stable WiFi connection
Great battery life (lasts hours of use)
Charges from 0–100% in about 2 hours
It feels like using a large phone — everything is familiar and easy to navigate.
🖥️ Display & design
Full 11” screen
Clear, bright graphics
Sleek, slim, lightweight design
Extremely portable
Great for videos, drawing, reading, and general use.
✍️ Input & compatibility
Works well with fingertips, stylus, and S Pen
Access to Google Play Store
Syncs with Samsung account
Can connect with other Samsung devices
📦 Storage & expandability
128GB internal storage
Supports microSD (if needed)
We’ve comfortably had:
25–30 apps/games installed before needing to clear space
📸 Camera
Decent quality
Perfectly fine for kids taking photos/videos
🔌 Small things to know
Comes with USB-C cord, but no wall adapter
You’ll need your own charging block
Final Thoughts
This is not marketed as a kids tablet — and that’s exactly why it works so well for kids.
It’s:
faster
more flexible
more reliable
and something they won’t outgrow quickly
After a full year of use and multiple purchases, I can confidently say:
This has been one of the best tech purchases I’ve made for my kids.
❤️ My 14-year-old is just starting to explore digital art, and immediately began working on her very first piece using this tablet and a stylus.
Watching her sit down and just… create without struggling with the tools was honestly the most impressive part for me. No lag, no weird pressure issues, no frustration — it felt natural to her right away. As a parent, that moment alone made this feel worth it. It turned something new and intimidating into something she was excited about instantly. She spent a total of 19 hours on her drawing.
⭐ I included a video showing how both of my kids use the same tablet differently, along with the different case setups we use. The first tablet is 1 year old, the second tablet is brand new.
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Reviewed in the United States on May 4, 2026
★★★★★ 5
Good one, fair price, dependable, would buy again
Color: Gray, Size: 128 GB, Style: Tab A11+
Very satisfied, great screen, when you turn off the default screen setting, is really fast, Manufacturer tries to load too much of their stuff, got to go thru and shut it down one at a time, Overall I am very satisfied!
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Reviewed in the United States on April 22, 2026
★★★★★ 5
Thin, Light, Very Functional - Fantastic tablet
Color: Gray, Size: 256 GB, Style: Tab A11+, Color: Gray, Size: 256 GB, Style: Tab A11+
First off you only get a tablet, an USB-C to USB-C cable, quickstart instructions and Sumsung care info. That's it. No charger, no nothing else. Even the screen doesn't come with a protector, the tablet itself comes in a fabric/paper like bag.
So advice: Buy a screen protector and/or case for this tablet! It's very thin and light weight!
The tablet itself is fantastic. It plays all the games so far I threw at it, even the graphic intense ones. Compared to some Chinese ripoffs, this shines like a champ. The 256 gigs of space is plenty and 8 gigs of ram help alot! Truly the tablet is great for my use - Playing games and watching videos.
I'm a little upset for the fact that it doesn't come with any charging device, but my phone's charger works fine. The USB-C to USB-C cable may come in handy (but my old PRO12 tablet uses the older usb port).
Overall I'm very pleased with it. The games I played on my Moto G phone play fantastic on the A11+ plus it can play much more. Also I don't stream so I put videos on the tablet. My old tablet I had to convert them to make the compatible. The A11+ and Android 16 shines here. It can play most all my videos without conversion, even 4k HDR videos natively! And the sound it great with four speakers as well!
Only downfall is the warranty. When I registered the tablet says something about the country of origin so I don't have warranty for the tablet.
Just remember to have a charger for it, screen protector and I recommend a case!
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Reviewed in the United States on April 17, 2026
★★★★★ 5
All you need in retirement
Color: Gray, Size: 256 GB, Style: Tab A11+
Great purchase in comparison with Fire and the Tab S. Does everything I need it to do: read books, email, pay bills, chat, etc. The price was right and it's a good solid tablet without too much complications. I have a Samsung Galaxy smartphone so both are complementary to each other. One comment, Samsung does not provide an actual plug, just the cable...not the best customer service act for sure but seems like all of them are doing it now. Otherwise, I'm pleased with it.
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Reviewed in the United States on April 22, 2026
★★★★★ 4
No Fingerprint reader.
Color: Gray, Size: 128 GB, Style: Tab A11+
Nice tablet. I find the video quality to just OK. That may be because I haven't found the optimal settings. The biggest drawback is my fault for sure. The tablet doesn't have a fingerprint reader. All my phones and previous tablets had that. I now know it a higher end feature. But as a casual tablet this is fine.
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Reviewed in the United States on April 24, 2026