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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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★★★★★ 5
Love this stuff!
Style: SPF 50
I use this every day and I love how it is frangrance free and creamy. I have a very fair complexion and I will say it leaves a slight white cast but it doesn’t bother me because it almost makes my fairness more creamy looking. My skin texture has improved since wearing it daily and no allergies from it. I highly recommend especially if you have fairer skin otherwise it may leave a cast .
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Reviewed in the United States on February 19, 2023
★★★★★ 5
Excellent mineral sunscreen with minimal white cast.
Style: SPF 50
This is one of the healthier sunscreens I’ve found so far. You’re not likely going to find a mineral sunscreen that doesn’t leave some white cast. However, this one rubs in pretty good with minimal cast.
You can dab on and rub in fairly easily… as long as you don’t use too much the white cast should be minimal. I am not sure how well this would work on darker skin tones. My arms are a medium skin tone… my legs are more of a light-medium tone.
I prefer mineral sunscreens, and this is the best one I found so far and compatible to Supergoop mineral play. If you liked that one, you would likely enjoy this Coola one too.
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Reviewed in the United States on January 25, 2025
★★★★★ 1
Would not recommend
Style: SPF 50
I literally never write reviews but felt compelled to write one for this sunscreen because I was very caught off guard by all the positive reviews. This sunscreen leaves the most insane white sheen that never soaks in and gets on EVERYTHING. I put this on and drove to the beach and had sunscreen on my car seat, the steering wheel, the center console, the door, EVERYWHERE!
It took forever to clean up and was such a hassle and that was after having let the sunscreen soak into my skin for an hour.
Also the sunscreen is really thick and difficult to spread and makes you look ghostly white. Plus, the sunscreen has a really odd odor that reminded me of play dough? That might not be a negative thing for everyone but I found it unpleasant.
There are definitely better mineral sunscreens out there. For the price I expected a much better product.
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Reviewed in the United States on June 11, 2025
★★★★★ 3
Sticky and white
Style: SPF 50
The sunscreen has a very sticky and thick texture. It will keep you from getting sunburnt, but it will also leave you with a white color.
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Reviewed in the United States on July 22, 2024
★★★★★ 4
Good sunscreen
Style: SPF 50
Super good coverage and it lasts a long time in the sun and even through water activities. The only negative is the white cast. Not as bad as others but just be aware it doesn’t fully rub in.
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Reviewed in the United States on May 1, 2025