The result of a series of lectures designed for advanced undergraduates at Oberlin College to introduce students to the conceptual underpinnings of mathematics is Set Theory and Logic. Axioms are used to logically organise the processes of mathematics, and more especially the real number system. The theory of sets, one of the most difficult and important developments in contemporary mathematics that is necessary to understanding quantum physics and other disciplines, is introduced in a very thorough conceptual way, with the goal of maximising clarity and inspiring more set logic research. Sets and Relations ? Cantor's definition of a set, etc. are among the topics covered.