Is there a good free online resource for learning axiomatic set theory?

Question

Is there a good (free) online resource for learning axiomatic set theory? I am no mathematician, but I have basic familiarity with calculus, combinatorics, and basic computability theory. Wikipedia, in typical encyclopaedia fashion, is a bit too dense, and lacks exercises.

Answer 1

I think the best book is "Axiomatic Set theory" by Patrick Suppes.

Also note this PDF is quite good (by Robert Andre). Hope it helps.

Answer 2

There is a preliminary version of the introductory text on Set Theory by W. Weiss in his website. It is a very nice material.

Once you cope with the basic stuff and after you've seen some material on Martin's Axiom, you could check out the notes of Forcing by Itay Neeman. There he refers to some notes by J. Palumbo, but I think those are not available online any more. There were pretty useful for me.

---

Concerning book suggestions, I completely agree with @ReneSchipperus. Now, there is a 2011 Set Theory by Kunen. It's a slightly different book on exactly the same subject; perhaps more streamlined. Both the old and new are excellent choices, along with Jech's 3rd edition. For more elementary suggestions, see this answer.