Thread: Set Theory

Hi,
Just looking for advice on what would be a good general text for set theory? I use it in mathematical logic a good deal, but have never actually taken a comprehensive course in it, and since I'm going to be tutoring undergraduate logic next year, I would like to have a fairly comprehensive knowledge of at least the very basics.
I've looked WVO Quine's, but it's a bit too philosophical for my current purposes...
Also, if you would suggest an online course or another way of learning it, I'd be interested to hear. Just want to buy a book, or find somewhere to start making some notes from really.
Thanks a lot
Clare

Hello

Here's one for you:

Introduction to Set Theory Pure and Applied Mathematics: Amazon.co.uk: Karel Hrbacek, Thomas Jech: Books

I read part of it and intend to read the rest. It's easy to read and has many exercises.

Originally Posted by Claretothez

Hi,
Just looking for advice on what would be a good general text for set theory? I use it in mathematical logic a good deal, but have never actually taken a comprehensive course in it, and since I'm going to be tutoring undergraduate logic next year, I would like to have a fairly comprehensive knowledge of at least the very basics.

Have a look at ELEMENTS OF SET THEORY by Herbert Enderton.
I think it is just about the level you have described.
But it does not cover logic.

If you need both logic and sets then I would go for any of the good discrete mathematics texts available. See if you can find a used one online.

I am a set theorist, and I never found a text I was 100% satisfied with. The book I generally have my students get when I teach Set Theory is "Introduction to Set Theory," by Hrbacek and Jech. But I really use my own notes (I can send you these if you're interested). Plato's suggestion isn't a bad choice either.

If I'm teaching a course in mathematical logic I again use my own notes, but as references I suggest Enderton's book in Mathematical Logic (this isn't the same as the set theory book Plato suggests above), possibly followed by Chang and Kiesler's book in Model Theory (the latter is only for a graduate course).

Thank you, I will look into getting that book...hopefully they will have it in the library when I get back to start teaching. Perhaps if I can read the Hrbacek and Jech in conjunction with the Quine one I will grasp the basics and be able to see what Quine's on about...
I'd love to see your notes if that would be alright. If you would sent them to clare.moriarty@kcl.ac.uk, I would be really appreciative. I'm hoping the department will let me take a set theory class in the maths department in Dublin next year, but because I'm only tutoring logic and metaphys etc...I'm not sure they'll let me do so in another department. But couldn't hurt to give it a go in any event.
Thanks