[Math] What’s the right moment to learn Set Theory

adviceeducationelementary-set-theoryself-learning

I've seen a question in which the OP asked when is the right moment to learn Category Theory, it seems this moment comes a little after a course of algebra, and indeed some books on abstract algebra brings concepts of Category Theory, such as Jacobson's Basic Algebra or Paolo Aluffi's ALGEBRA, Chapter 0.

But until the present date, I've seen no such question about set theory. What is a good moment to learn it?

Best Answer

The question is whether or not you refer to axiomatic set theory, or naive set theory. If the former, then the answer is probably "after you've seen a bit of mathematics"; if you mean the latter then "right now" is probably the right answer.

In my undergrad studies, the naive set theory course was the perquisite for all other math courses (even those on the first semester, which you were obviously allowed to take in parallel).

In other universities a lot of the topics covered in that course (basic Boolean operations, relations, functions) would be covered in the first two-three weeks of calculus, or algebra, or they might have a course called discrete mathematics covering that.

On the other hand, axiomatic set theory requires to understand what does it mean to deal with an axiomatic theory. It is usually taught to people that already seen a bit of mathematics, and learned a few basic definitions from logic.

Axiomatic set theory, in its basic form anyway, fits better a third year undergrad course, rather than a freshman level course.