Books on Set Theory: Recommendations & Reviews

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Discussion Overview

The discussion revolves around recommendations for books on set theory, focusing on various texts that range from introductory to rigorous treatments of the subject. Participants share their opinions on different books and their suitability for different levels of understanding.

Discussion Character

  • Exploratory, Debate/contested

Main Points Raised

  • One participant asks for recommendations for good books on set theory.
  • Another participant suggests "Naive Set Theory" by Halmos as a good option.
  • Some participants propose "Axiomatic Set Theory" by Suppes and "Theory of Sets" by Kamke, noting that only the book by Suppes includes problems.
  • A participant mentions "Hrbacek and Jech" as a comprehensive resource, while also suggesting that for basic understanding, books on proofs like "Book of Proof" by Richard Hammack or "How to Prove It" by Velleman might suffice.
  • One participant expresses a preference for rigorous material and indicates that they find books with problems helpful for understanding the content.

Areas of Agreement / Disagreement

Participants present multiple competing views on which books are the best recommendations for set theory, with no consensus reached on a single preferred text.

Contextual Notes

Some recommendations depend on the reader's level of familiarity with set theory and their preference for rigor versus introductory material.

UncertaintyAjay
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Could anyone recommend some good books on set theory?
 
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Thanks for the post! Sorry you aren't generating responses at the moment. Do you have any further information, come to any new conclusions or is it possible to reword the post?
 
Naive Set Theory by Halmos. :)
 
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Thanks, I'll check it out
 
how about Axiomatic Set Theory by Suppes or Theory of Sets by Kamke. only the one by suppes has problems though.
 
Hrbacek and Jech is very good, and covers a lot of stuff. But if you only want the basics, a book on proofs may be sufficient, for example "Book of proof" by Richard Hammack or "How to prove it" by Velleman. (I know that the former is good, and there's a free online version if you want to check it out. I'm not familiar with the latter, but it seems to be very popular).
 
Last edited:
Nah, I want somwething that is pretty rigorous. And I'll check out the one with the problems, I find that they help me know if I've understood the content. Thanks very much
 

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