: Moves from informal set operations (unions, intersections) to axiomatic set theory (ZFC) .
: Well-Ordering Theorem; Cantor–Schröder–Bernstein Theorem; Burali-Forti Paradox. Comparison of Popular Introductory Texts A First Course in Mathematical Logic and Set Th...
The course provides coverage of several landmark results in mathematical foundations: : Moves from informal set operations (unions, intersections)
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 : Defines these fundamental structures strictly within the
: Covers predicates, quantifiers, and formal languages, providing the necessary syntax for writing mathematical proofs.
: Defines these fundamental structures strictly within the framework of set theory.
by Michael L. O'Leary is a foundational textbook designed to transition students from computational mathematics to rigorous proof-writing. It presents symbolic logic not just as an abstract subject, but as the essential framework for structuring mathematical arguments. Core Course Components