: Covers predicates, quantifiers, and formal languages, providing the necessary syntax for writing mathematical proofs.
The curriculum typically follows a progression from basic logical structures to advanced foundational theorems:
: Introduces symbolic logic, truth tables, and two-column proofs to establish a base for logical inference.
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
