Excellent mathematical logic books

In summary, there are several highly recommended books for beginners in mathematical logic, including "A Concise Introduction to Mathematical Logic" by Wolfgang Rautenberg, "Mathematical Logic: A First Course" by Joel W. Robbin and Jean-Pierre Tignol, and "Introduction to Mathematical Logic" by Elliott Mendelson. "Introduction to Logic" by Paul Herrick covers both classical and non-classical logics, including modal logic, intuitionistic logic, and fuzzy logic. "A Mathematical Introduction to Logic" by Herbert B. Enderton is a great book for self-study as it is well-structured and includes many exercises with solutions. For readers looking for books that focus on applications of logic, "Applied Logic: How
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I am looking for excellent mathematical logic books that start from the beginning and go to the (what we think is) the end.

Hopefully something with lots of editions so I can pick up a 2nd edition for 3 bucks on Amazon used.

Ideas?
 
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  • #2
I think Robert R. Stoll's Set Theory and Logic is pretty good and it's often available at Barne's and Noble so you can take a look at it first.
 
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There are many excellent mathematical logic books available that cover a wide range of topics and levels of difficulty. If you are looking for a comprehensive introduction to the subject, I would recommend "Introduction to Mathematical Logic" by Elliott Mendelson. This book covers all the fundamental concepts and techniques in mathematical logic, starting from the basics and building up to more advanced topics. It also has multiple editions available, so you can easily find a used copy for a great price on Amazon.

Another great option is "A Mathematical Introduction to Logic" by Herbert Enderton. This book is also highly regarded for its clear and concise explanations of mathematical logic concepts. It has been updated with new editions over the years, so you should have no trouble finding a used copy at a reasonable price.

If you are looking for a more specialized book on a specific aspect of mathematical logic, "Axiomatic Set Theory" by Patrick Suppes is a great choice. This book delves into the foundations of mathematics and provides a rigorous treatment of set theory, making it a valuable resource for anyone interested in mathematical logic.

Overall, it's important to choose a book that suits your specific needs and learning style. I would recommend browsing through different options and reading reviews to find the one that best fits your needs. Good luck in your search for excellent mathematical logic books!
 

1. What are some recommended mathematical logic books for beginners?

Some highly recommended books for beginners include "A Concise Introduction to Mathematical Logic" by Wolfgang Rautenberg, "Mathematical Logic: A First Course" by Joel W. Robbin and Jean-Pierre Tignol, and "Introduction to Mathematical Logic" by Elliott Mendelson.

2. Are there any mathematical logic books that cover both classical and non-classical logics?

Yes, "Introduction to Logic" by Paul Herrick covers both classical and non-classical logics, including modal logic, intuitionistic logic, and fuzzy logic.

3. What is the best book for learning mathematical logic in a self-study setting?

"A Mathematical Introduction to Logic" by Herbert B. Enderton is a highly recommended book for self-study as it is well-structured and includes many exercises with solutions.

4. Are there any mathematical logic books that focus on applications of logic?

"Applied Logic: How, What and Why" by John Bell and David DeVidi is a great book that covers applications of logic in various fields, such as computer science, linguistics, and philosophy.

5. Can you recommend a mathematical logic book that is suitable for advanced readers?

"Metalogic: An Introduction to the Metatheory of Standard First Order Logic" by Geoffrey Hunter is a comprehensive book that covers advanced topics in mathematical logic, including metatheory and model theory.

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