How I learned maths??

Okey, I've taken traditional schoolin' math up to Calculus 2 (i.e. various methods of single-variable integration).

I'd like to learn pure math from the basics onward.  I don't have a particular field in mind.

Where do I start?

oh if it's relevant I'm currently taking a discrete math course, covering, so far, logic, set theory, and computability.  It's what's got me first interested in the subject.

<<I'd like to learn pure math from the basics onward.  I don't have a particular field in mind.>>

Pure maths from the basics onwards defines a field, and that field is Analysis.