At the end of the course, the student is expected to have acquired:
- Mastery of paradoxes of infinity
- A good grasp of the historical development of the concept of infinity
- Mastery of the distinction between potential infinity and actual infinity
- Mastery of the arguments for/against the existence of actual infinity
- A good grasp of metaphysical underpinnings of the concept of infinity
- A good grasp of different degrees of infinity
- A conceptual understanding of transfinite mathematics
- A conceptual understanding of the Löwenheim-Skolem theorem and Gödel’s first incompleteness theorem