: Defines these fundamental structures strictly within the framework of set theory.

: Well-Ordering Theorem; Cantor–Schröder–Bernstein Theorem; Burali-Forti Paradox. Comparison of Popular Introductory Texts

: Moves from informal set operations (unions, intersections) to axiomatic set theory (ZFC) .

The curriculum typically follows a progression from basic logical structures to advanced foundational theorems:

While O'Leary's text is comprehensive, other common "First Course" options serve different academic needs: A First Course in Mathematical Logic and Set Theory | Wiley