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 |