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
: Well-Ordering Theorem; Cantor–Schröder–Bernstein Theorem; Burali-Forti Paradox. Comparison of Popular Introductory Texts A First Course in Mathematical Logic and Set Th...
: Completeness and Compactness Theorems; Löwenheim–Skolem Theorem. While O'Leary's text is comprehensive, other common "First
The course provides coverage of several landmark results in mathematical foundations: While O'Leary's text is comprehensive
: Defines these fundamental structures strictly within the framework of set theory.
: Covers predicates, quantifiers, and formal languages, providing the necessary syntax for writing mathematical proofs.