I'm about to finish my course (and a book) on discrete mathematics; the next one will be a course (and a book) on algorithms... Could you please recommend a book to read more about set theory? I'm fascinated by the topic; it's beautiful, and I want to read more about it, but there are so many books that I don't know which one to choose.
>>16846277it's all mostly the same, i read Set Theory: An Open Introduction
>>16847335thank you
>>16846277>Could you please recommend a book to read more about set theory?DUDE!If you want to learn math just ask an AI to teach you... it will cover the material, give you sample problems to solve, and walk through solving them step by step.AI super-charges learning.
>>16849720The biggest issue so far for AI learning is it is bad at creating good exercises. Second biggest issue is it doesn't usually have a good curriculum in mind, you'll need to feed it one. Books are far better but you can still use AI for hints on exercises.
>>16849720i use gemini a lot, for things like, "tell me if my reasoning in this proof is sound" or "help me to understand certain things", it is very useful, but i like to get the knowledge from books, i enjoy it more that way, keeps the magic alive :')
Omg I love AI! It's *perfect* for learning.
>>16846277Naive Set Theory by Paul Halmos is essential. Very short and he actually explains the relationship between set theory and the Peano "axioms" (the recursion theorem). After that you may want to read about Dedekind sections (optional) before moving on to real analysis. I recommend Elementary Analysis: The Theory of Calculus by Kenneth A. Ross
>>16846277I really like the newest edition of Kunen's Set Theory: An Introduction to Independence Proofs, but if you don't have experience with proofs in higher math you're going to be lost immediately
>>16846277Kunen's "Set Theory" and Lawvere's "Sets for Mathematics" are the best introductions by far.
