Logic and Set Theory Book Suggestions for Beginners

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Discussion Overview

The discussion centers around recommendations for beginner-level books on Logic and Set Theory. Participants express interest in understanding foundational concepts such as axioms, theorems, and methods of proof within the context of mathematical logic.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant seeks beginner-friendly books on Logic and Set Theory, emphasizing the need for well-known classics that are likely to be available internationally.
  • Another participant recommends 'Axiomatic Set Theory' by Patrick Suppes and 'Theory of Sets' by Kamke, noting that both are published by Dover and should be affordable.
  • A different participant suggests 'Naive Set Theory' by Paul Halmos as a classic text, while also mentioning that Kamke's book focuses more on set theory than logic.
  • This participant shares personal experience with 'Principles of Mathematics' by Allendoerfer and Oakley, indicating it provided a solid foundation in logic prior to college.
  • Additionally, 'Introduction to Modern Algebra' by John L. Kelley is mentioned as another resource that includes basic logic concepts.

Areas of Agreement / Disagreement

Participants generally agree on the value of the suggested books, but there is no consensus on a single best resource, as different texts are recommended based on varying focuses on logic and set theory.

Contextual Notes

Some recommendations may depend on the availability of specific editions or translations in different countries, and the discussion does not resolve which book is the most suitable for beginners.

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Book suggestions- Moved in Science book reviews

Hi everybody,
I am looking for books about Logic and Set Theory. In particular, I am looking for not very advanced books. What are axioms, how do theorems connect to the axioms, how are we sure that some methods of proving give always correct and general results-these are some of the questions that I am looking for answers (i think this is part of mathematical logic, isn't it?). Any help would be appreciated
Thanks

P.S: I don't live in the U.S.A or U.K. so as you understand, only really well-known books might be found in my country. So I would prefer you to suggest some of the "classics" that can probably be found everywhere
 
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'axiomatic set theory' by patrick suppes & 'theory of sets' by kamke is are the best ones. kamke's doesn't have any problems in it though. they're both available from dover, which isn't some obscure publishing company. they'll be cheap books too.
 
halmos' naive set theory is also a classic.

you can search here:
http://dogbert.abebooks.com

I found copies in germany, australia, england, and denmark, but for the price of some of them, you could probably afford to order from iowa and pay shipping.

i read some of kamke's book in high school, and enjoyed it as far as i got.

kamke was a dover book even then and hence very cheap.

these are mopre set theory than logic though.

i myself learned about all the logic i have ever needed from principles of mathematics, by allendoerfer and oakley, (in high school).

It was a big advantage to enter college aftyer reading this book. the basic logic stuff in there is not taught to students at the university where i work until junior year, if then. ludicrous.

here is another basic book with some easy logic in it:

Introduction to Modern Algebra
John L. Kelley
Price: US$ 4.49 [Convert Currency]
Book Description: D. Van Nostrand Company, 1960. Trade Paperback. Good. "Official Textbook for the Continental Classroom". Bookseller Inventory #512660

Bookseller: North State Books (Lincolnton, NC, U.S.A.)
 
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Thanks for your answers
 

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