Enter your mobile number or email address below and we'll send you a link to download the free Kindle App. Then you can start reading Kindle books on your smartphone, tablet, or computer - no Kindle device required.

  • Apple
  • Android
  • Windows Phone
  • Android

To get the free app, enter your email address or mobile phone number.

Set Theory and Logic (Dover Books on Mathematics) Revised ed. Edition

3.7 out of 5 stars 13 customer reviews
ISBN-13: 978-0486638294
ISBN-10: 0486638294
Why is ISBN important?
ISBN
This bar-code number lets you verify that you're getting exactly the right version or edition of a book. The 13-digit and 10-digit formats both work.
Scan an ISBN with your phone
Use the Amazon App to scan ISBNs and compare prices.
Have one to sell? Sell on Amazon
Buy used On clicking this link, a new layer will be open
$9.75 On clicking this link, a new layer will be open
Buy new On clicking this link, a new layer will be open
$13.10 On clicking this link, a new layer will be open
More Buying Choices
27 New from $12.70 41 Used from $3.23
Free Two-Day Shipping for College Students with Amazon Student Free%20Two-Day%20Shipping%20for%20College%20Students%20with%20Amazon%20Student


Save Up to 90% on Textbooks Textbooks
$13.10 FREE Shipping on orders over $35. In Stock. Ships from and sold by Amazon.com. Gift-wrap available.

Frequently Bought Together

  • Set Theory and Logic (Dover Books on Mathematics)
  • +
  • Axiomatic Set Theory (Dover Books on Mathematics)
Total price: $26.80
Buy the selected items together
NO_CONTENT_IN_FEATURE



Product Details

  • 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)

More About the Author

Discover books, learn about writers, read author blogs, and more.

Customer Reviews

Top Customer Reviews

By A Customer on June 27, 2003
Format: Paperback
This book is without peer in its breadth of coverage of the foundations of mathematics and logic. I have given this book only 4 stars, because its treatment of any given topic
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.
1 Comment 68 of 69 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse
Format: Paperback
This book is a great bargain: intuitive and axiomatic set theory, foundations of number systems, first order logic and its completeness and undecidability, the basics of abstract algebra, especially Boolean algebra (through the Stone theorem), elementary group theory, and Godelian incompletability. All in one inexpensive paperback. Excellent coverage of the three way crossroads where logic, modern algebra, and metamathematics intersect. Often the first reference I consult on basic logic.

Even though I am not a mathematician, I can understand, with effort, most of what the author is trying to say.
Comment 44 of 46 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse
Format: Paperback
This book is very well written and easy to understand. However, it has a very serious shortcoming: there are no solutions to the exercises. If you're looking for a basic reference, this book is good, but if you want a book you can use to learn set theory and logic, get one that has solutions to the exercises.
Comment 55 of 62 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse
Format: Paperback
If you are already familiar with the material, this book is a concise and clear reference, and yes a great buy. But for learning these topics from the beginning, you would be better served by other books that are focused on just a particular topic.

For example, for logic in the context of set theory, I highly recommend Daniel Velleman's How to Prove it.
1 Comment 16 of 17 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse
Format: Paperback
It is really more about foundational issues than sets and logic. The preface says this was intended as a one-year course in the foundations of math for upper division math majors. The delivery is slow and gentle, rather wordy, and a bit stodgy -- not always crystal clear about what point he is making. It is suitable for students who have no experience with higher math. I don't know about students at the author's school, but I think it would try the patience of most seniors or grad students in math. I would recommend it more to lower division and philosophy majors.
Comment 19 of 22 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse
Format: Paperback
This is an easy to follow treatise on set theory. It is written in a simple style that any can follow and it is a very good and complete account of the whole theory. The last chapters are particularly as the topics in them show how the theory is used in conventional mathematics. The very last chapter is an introduction to more advanced subjects that skirt model theory and talk about the standard mathematical logic topics like consistency, completeness, and categorical of first order theories; decidable theories, and Gödel's theorem.

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.
Comment 3 of 3 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse
Format: Paperback
I've gone through a number of introductory books on set theory. This one is definitely my favourite. The coverage of the material, and way it is presented for a beginner on the subject is the best I've seen. Other reviewers have mentioned that Stoll doesn't have answers to the exercise problems. This isn't a problem, Stoll covers enough detail with explanations and examples that you shouldn't have any problems with the exercises.
Comment 2 of 2 people found this helpful. Was this review helpful to you? Yes No Sending feedback...
Thank you for your feedback.
Sorry, we failed to record your vote. Please try again
Report abuse

Most Recent Customer Reviews

Set up an Amazon Giveaway

Amazon Giveaway allows you to run promotional giveaways in order to create buzz, reward your audience, and attract new followers and customers. Learn more
Set Theory and Logic (Dover Books on Mathematics)
This item: Set Theory and Logic (Dover Books on Mathematics)
Price: $13.10
Ships from and sold by Amazon.com

Want to discover more products? Check out these pages to see more: roberts number theory, dover logic, dover books mathematics algebra, logic set theory