[Rucker] = Rucker, Rudy. *Infinity and the Mind: The Science and Philosophy of the Infinite*. Princeton University Press, 2004. ISBN: 9780691121277.

WEEK # | TOPICS | READINGS |
---|---|---|

1 | Introduction | No readings |

2 | Time Travel / Free Will | ## Required ReadingLewis, David. "The Paradoxes of Time Travel." (PDF) ## Optional ReadingsBaber, H. E. "The Paradoxes of Time Travel: David Lewis." sandiego.edu. Arntzenius, Frank, and Tim Maudlin. "Time Travel and Modern Physics." Stanford Encyclopedia of Philosophy, 2009. Yudkowsky, Eliezer. "Causal Universes." LessWrong.com. |

3 | Newcomb's Paradox | ## Required ReadingLewis, David. "Prisoners' Dilemma is a Newcomb Problem." ## Optional Readings ———. "Causal Decision Theory." Chapter 27 in Weirich, Paul. "Causal Decision Theory." Stanford Encyclopedia of Philosophy, 2012. Yudkowsky, Eliezer. "Newcomb's Problem and Regret of Rationality." LessWrong.com. Newcomb's paradox, Wikipedia.org. Prisoner's dilemma, Wikipedia.org. |

4 | Coordination Game: Nash Equlibria, Schelling Points and the Prisoner's Dilemma
| No readings |

5 | Foundations of Probability | ## Required ReadingLewis, David. Sections 1 through 4 of "Humean Supervenience Debugged." (PDF) ## Optional ReadingsRead sections 5 through 10 of the above article. |

6 | Zeno's Paradoxes | ## Required ReadingParsons, Josh. "The Eleatic Hangover Cure." |

7 | Infinity | ## Required Reading[Rucker] Chapter 2: "All The Numbers." ## Optional Readings Drake, F. R., and D. Singh. "Cardinals." Chapter 4 in |

8 | The Higher Infinite | ## Required Reading[Rucker] Excursion 1: "The Transfinite Cardinals." ## Optional Readings Drake, F. R., and D. Singh. "Cardinals." Chapter 4 in |

9 | The Axiom of Choice | ## Optional ReadingArntzenius, Frank, Adam Elga, et al. "Bayesianism, Infinite Decisions, and Binding." |

10 and 11 | Computability | ## Optional Readings Boolos, George S., John P. Burgess, and Richard C. Jeffrey. "Turing Computability." Chapter 3 in ———. "Uncomputability." Chapter 4 in |

12 and 13 | Computability (cont.) / Gödel's Theorem | ## Optional Readings[Rucker] Excursion 2: "Gödel's Incompleteness Theorems."
Boolos, George S., John P. Burgess, and Richard C. Jeffrey. ## Also Recommended Is Mendelson, Elliott. "Formal Number Theory." Chapter 3 in |

14 | Concluding remarks | No readings |

## Beach-Side Reading

If you want to go further down the rabbit-hole, here are some mathy philosophy readings:

Aaronson, Scott. *Quantum Computing Since Democritus*. Cambridge University Press, 2013. ISBN: 9780521199568. [Preview with Google Books]

Doxiadis, Apostolos, and Christos H. Papadimitriou.* Logicomix: An Epic Search for Truth*. Art by Alecos Papadatos and Annie DiDonna. Bloomsbury USA, 2009. ISBN: 9781596914520. [Preview with Google Books]

Drescher, Gary L. *Good and Real: Demystifying Paradoxes from Physics to Ethics*. A Bradford Books, 2006. ISBN: 9780262042338. [Preview with Google Books]

Yudkowsky, Eliezer. Highly Advanced Epistemology 101 for Beginners, LessWrong.com.

The Beginning of Infinity, Wikipedia.org.