Week | Date | Topic | Readings |

1 | January 7 | Course organization and background | - Euclid, Bk. I |

2 | January 14 | Overview of 19th century mathematics and its philosophy | - Detlefsen 1996, Gillies, 1999 |

- Modernism and mathematics | - Gray 2008, Chapter 1 | ||

3 | January 21 | No class (Preparation of presentation) | |

4 | January 28 | Kant and intuition in geometry [Tim Juvshik] | - Huggett 1999, Carson 1997 |

- Before modernism: Philosophy | - Gray 2008, Section 2.4 | ||

5 | February 4 | Projective geometry [Grace Cherng] | - Gray 1987, Lord 2013 |

- Before modernism: Geometry | - Gray 2008, Section 2.1 | ||

6 | February 11 | Non-Euclidean geometries [David Gaber] | - Gray 2011, Sec 8.3 – Ch. 10 |

7 | February 18 | Helmholtz [Atoosa Kasirzadeh] | - Helmholtz 1876, 1878; Richards 1977 |

- Mathematical modernism arrives: Modern geometry | - Gray 2008, Sec 3.1 | ||

8 | February 25 | Psychologism [Jose Larios Derbyshire] | - Kusch 1995, Jacquette 2003, Crane 2012 |

- Philosophy and mathematics in Germany | - Gray 2008, Section 4.2 | ||

March 4 | No class (Reading week) | ||

9 | March 11 | Hilbert's empiricism [Isabella Mariani] | - Hilbert 1899, Hilbert/Frege; Corry 2006 |

- Modernism avowed: Geometry | - Gray 2008, Section 4.1 | ||

10 | March 18 | Husserl on geometry [Eric Murphy] | - Jagnow 2006, da Silva 2012 |

11 | March 25 | Poincaré's conventionalism [Gabriel Larivière] | - Poincaré 1902-08, Stump 1991 |

- Mathematical modernism and psychology | - Gray 2008, Section 6.2 | ||

12 | April 1 | Cognitive science of geometry [Rose Liu] | - De Cruz 2009, Spelke 2011 |

13 | April 8 | Visualization in mathematics [Zander Defechereux] | - Feferman 2012, Palais 1999, Tall 1999 |

Last modified: Mon Apr 14 11:01:03 CEST 2014 © Dirk Schlimm