All readings can be found in the following textbook:
Rayo, Agustín. On the Brink of Paradox: Highlights from the Intersection of Philosophy and Mathematics. MIT Press, 2019. ISBN: 9780262039413. [Preview with Google Books]
The following document should also be utilized: On the Brink of Paradox: List of Known Errors (PDF).
| LEC # | TOPICS | READINGS |
|---|---|---|
| 1 | Introduction | No assigned reading |
| 2–4 | Infinite Cardinalities | Chapter 1 |
| 5–7 | The Higher Infinite | Chapter 2 |
| 8–9 | Omega-Sequence Paradoxes | Chapter 3 |
| 10–11 | Time Travel | Chapter 4 |
| 12–13 | Newcomb's Problem | Chapter 5 |
| 14–15 | Probability | Chapter 6 |
| 16–17 | Non-Measurable Sets | Chapter 7 |
| 18–19 | The Banach-Tarski Theorem | Chapter 8 |
| 20–22 | Computability | Chapter 9 |
| 23–24 | Gödel's Theorem | Chapter 10 |
| 25–26 | Review | No assigned reading |