I'm trying to get an overarching understanding of the components of mathematical systems so that in my self study of each category of math I can break them down by their unique aspects, i.e. the operators they use, the major concepts they deal with (i.e. how calculus is about "change"), etc.
As far as my experience with formal math terminology goes, im rather weak, and i get utterly confused by the technicality required in formal definitions.
As a good starting point, I'd like to better understand what the difference is between an axiom, a theorem and a postulate. At my current level of knowledge i would use them interchangeably (lol), however I'm sure one is founded upon the others.
If someone could explain the logical hierarchy/relation between these three it would be greatly appreciated.