| 1 | Introduction | |
| Ancient and Modern Knowing |
| 2 | Knowledge as Power/Knowledge as Virtue | |
| 3 | The Idea of a Proof | |
| Logos and Arithmos |
| 4 | Logos as Definition- What is "What is?" | |
| 5 | Logos as Ratio, Magnitude and Multitude, Quality and Quantity | First paper due |
| 6 | The Greek Conception of Number | |
| 7 | The Idea of Number: Ancient vs. Modern | |
| Measuring the Unmeasurable |
| 8 | Putting the Irrational in Ratio | |
| 9 | Fitting Ideas to the World | |
| 10 | Fitting Ideas to the World (cont.) | Second paper due |
| 11 | The Truth as a Surd | |
| 12 | The Truth as a Surd (cont.) | |
| The Limits of Mathematics |
| 13 | A. Plato, Protagoras | Third paper due |
| 14 | B. Aristotle, Nicomachean Ethics | |
| 15 | Review | |