PreCalculus Set Theory Notes

These notes continue from the previous notes on logic and develop a rigorous foundation of sets, starting from basic properties and axioms, and building up to concepts like functions, natural numbers, cardinality, well-ordered sets, ordinal arithmetic, aleph numbers, and the axiom of choice. Along the way, they connect informal argument patterns to precise axioms, rules of inference, and proof techniques.

Notes

Set Theory

Set Theory Old Notes

Recommendations

Introduction to Set theory by Karel Hrbacek

Naive Set theory by Paul Halmos