: 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 A First Course in Mathematical Logic and Set Th...
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
: Introduces symbolic logic, truth tables, and two-column proofs to establish a base for logical inference. A First Course in Mathematical Logic and Set Th...
: Includes the construction of number systems (naturals, ordinals, cardinals) and concludes with an introduction to model theory . Key Theorems Covered