- Series: Dover Books on Mathematics
- Paperback: 512 pages
- Publisher: Dover Publications; Revised ed. edition (October 1, 1979)
- Language: English
- ISBN-10: 0486638294
- ISBN-13: 978-0486638294
- Product Dimensions: 5.6 x 1 x 8.2 inches
- Shipping Weight: 1.2 pounds (View shipping rates and policies)
- Average Customer Review: 3.7 out of 5 stars See all reviews (13 customer reviews)
- Amazon Best Sellers Rank: #428,045 in Books (See Top 100 in Books)
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Set Theory and Logic (Dover Books on Mathematics) Revised ed. Edition
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Top Customer Reviews
is not classic. It is the total package that astounds.
For a mere $15, you get a challenging undergraduate introduction to all of the following topics. I have written in parentheses the names of authors of more definitive treatments:
Intuitive set theory through the axiom of choice (Halmos)
Natural numbers Æ Integers Æ Rationals Æ Reals (Feferman)
Mathematical logic (Machover, Smullyan)
Metamathetics (Machover, Mendelson)
Introduction to the axiomatic approach
ZF axiomatic set theory (Suppes)
Boolean algebra through Stone's theorem and the completeness of sentential logic (Halmos & Givant)
Algebra (Birkhoff & MacLane's "Algebra")
Stoll's style is quite discursive, far from the terse lemma-theorem-corollary-remark style of so much 20th century mathematics. My only major disappointment is that the formal proof technique set out in chpt. 4 is natural deduction rather than the tableau method or Quine's Main Method.
It is indeed the case that there are no solutions to the exercises, but I do not believe that that is a major flaw.
Even though I am not a mathematician, I can understand, with effort, most of what the author is trying to say.
For example, for logic in the context of set theory, I highly recommend Daniel Velleman's How to Prove it.
The book has been around for ages, and I'm on my second copy as the first has been literally worn out through continual use as a reference.
Most Recent Customer Reviews
Boring, loaded with gratuitous proofs of trivial theorems. In fact, the clumsily written proofs take up around 85% of the book, and they do nothing to illuminate the theorems in... Read morePublished 19 days ago by J.-M. Kuczynski
I abandoned this book (The ebook version) about halfway though the first chapter, due to the fact that it is riddled with typos. Read morePublished 1 month ago by Amazon Customer
Good introduction, especially the first few chapters. It gets increasingly technical, as you might expect. Some of the later chapters have more OCR errors than I would like.Published 10 months ago by DaleO
This book helpful to understand set theory, but if you do not know any thing about this subject, I recommend "Set Theory by Martha Pieper"Published 15 months ago by MMLS
I essentially agree with what has been said. This book might be too watered down for hard core mathematicians but it's perfect for philosophers and others with an interest in math... Read morePublished on August 20, 2013 by Erick Adrian Bautista