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Description
Set Theory and LogicSet Theory and Logic is the result of a course of lectures for advanced undergraduates, developed at Oberlin College for the purpose of introducing students to the conceptual foundations of mathematics. Mathematics, specifically the real number system, is approached as a unity whose operations can be logically ordered through axioms. One of the most complex and essential of modern mathematical innovations, the theory of sets (crucial to quantum
Set Theory and Logic is the result of a course of lectures for advanced undergraduates, developed at Oberlin College for the purpose of introducing students to the conceptual foundations of mathematics. Mathematics, specifically the real number system, is approached as a unity whose operations can be logically ordered through axioms. One of the most complex and essential of modern mathematical innovations, the theory of sets (crucial to quantum mechanics and other sciences), is introduced in a most careful concept manner, aiming for the maximum in clarity and stimulation for further study in set logic.Contents include: Sets and Relations -- Cantor's concept of a set, etc.
Natural Number Sequence -- Zorn's Lemma, etc.
Extension of Natural Numbers to Real Numbers
Logic -- the Statement and Predicate Calculus, etc.
Informal Axiomatic Mathematics
Boolean AlgebraInformal Axiomatic Set TheorySeveral Algebraic Theories -- Rings, Integral Domains, Fields, etc.
First-Order Theories -- Metamathematics, etc.
Symbolic logic does not figure significantly until the final chapter. The main theme of the book is mathematics as a system seen through the elaboration of real numbers; set theory and logic are seen s efficient tools in constructing axioms necessary to the system.
Mathematics students at the undergraduate level, and those who seek a rigorous but not unnecessarily technical introduction to mathematical concepts, will welcome the return to print of this most lucid work.
"Professor Stoll . . . has given us one of the best introductory texts we have seen." -- Cosmos.
"In the reviewer's opinion, this is an excellent book, and in addition to its use as a textbook (it contains a wealth of exercises and examples) can be recommended to all who wish an introduction to mathematical logic less technical than standard treatises (to which it can also serve as preliminary reading)." -- Mathematical Reviews.
Binding Type: Paperback
Publisher: Dover Publications
Published: 10/01/1979
ISBN: 9780486638294
Pages: 512
Weight: 1.25lbs
Size: 8.20h x 5.60w x 1.00d
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4.8 ★★★★★
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Product Reviews
★★★★★ 5
Exactly what I needed for my bathroom refresh.
Color: B. Rustic Brown - Americana Farmhouse Style, Number Of Shelves: 2, Size: 22.5inches, Color: B. Rustic Brown - Americana Farmhouse Style, Number Of Shelves: 2, Size: 22.5inches
I bought these floating shelves in the color Rustic Brown to replace a bulky storage shelf that was making my bathroom feel cramped, and they completely transformed the space. The wood finish looks much more expensive than I expected, and once installed they gave the bathroom a clean, modern, spa-like feel without taking up visual space.
Installation was straightforward overall. I mounted one screw in the center into a stud and used drywall anchors for the remaining hardware, and the shelves feel very sturdy. They sit flush against the wall and don’t sag or wobble. I especially love how slim they are while still being deep enough to hold everyday bathroom items, decor, candles, skincare, and small baskets.
The color worked perfectly with my bathroom vanity and mirror trim, and the floating design instantly made the room look more organized and intentional. Huge upgrade for a small space.
Definitely recommend if you want functional storage that also looks elevated and minimalist.
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Reviewed in the United States on May 30, 2026
★★★★★ 4
Good Shelves
Color: B. Rustic Brown - Americana Farmhouse Style, Number Of Shelves: 3, Size: 22.5inches
These shelves are really nice quality and look as advertised. The hardware included was great quality, metal drywall anchors and good screws. They were easy to install, and make even/level with each other. My only gripe is the price, but I'm very satisfied with the product overall.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on April 12, 2026
★★★★★ 5
Attractive, easy to install, nicely equipped hardware package.
Color: B. Rustic Brown - Americana Farmhouse Style, Number Of Shelves: 2, Size: 22.5inches
These are pretty doggone nice shelves and I appreciate the fact that they are not made of solid particle board. Yes they are made of an engineered product, but they are lightweight and strong…and look better than particle board products and more costly than their actual price.
Easy installation system with the bracket…not fussy like some are.
An especially thoughtful touch is the variety of hardware that is included. Also a tiny level for use when installing them. What? …So they can be installed correctly? I was pleasantly surprised by this inclusion.
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Reviewed in the United States on May 29, 2026
★★★★★ 5
Beautiful shelves
Color: B. Rustic Brown - Americana Farmhouse Style, Number Of Shelves: 2, Size: 22.5inches
Great quality shelves, have them in 4 rooms, they are easy to hang up and lightweight, look really nice and keeps room looking organized and clean.
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Reviewed in the United States on May 24, 2026
★★★★★ 5
Perfect for a coffee bar
Color: B. Rustic Brown - Americana Farmhouse Style, Number Of Shelves: 3, Size: 15.7inches, Color: B. Rustic Brown - Americana Farmhouse Style, Number Of Shelves: 3, Size: 15.7inches
These are great for my coffee bar! These shelves are easy to install and came with all the hardware needed. What a great value for your money, especially when you get 3 of these cute shelves. I love how they help organize my coffee bar area and the size fits perfectly.
WAS THIS REVIEW HELPFUL?YesReportShare
Reviewed in the United States on May 26, 2026
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