Reddit reviews Discovering Modern Set Theory. I: The Basics (Graduate Studies in Mathematics, Vol 8) (Pt.1)
We found 2 Reddit comments about Discovering Modern Set Theory. I: The Basics (Graduate Studies in Mathematics, Vol 8) (Pt.1). Here are the top ones, ranked by their Reddit score.
IMO while Jech's is a great book, it is not a good first book on set theory. It is meant for graduate students and assumes a fairly high level of mathematical capability form the start. I'm working through the book now, and I'm still in the "basic" part but it's already covered topics like the Borel hierarchy, non-principal ultrafilters, and measurable cardinals: certainly not introductory topics.
The best introductory book I've seen is Discovering Modern Set Theory. It is very well-written and introduces all the basic concepts including ordinals, cardinals, ZFC axioms, and some basics of model theory. It also covers a lot of prerequisites like formal logic and a little abstract algebra, which the OP is likely not familiar with.
Discovering Modern Set Theory by Just and Weese is exquisite.