| Wk | Date | Topics and activities | Readings |
| 1 | 1/26 | Introductions | |
| 1/28 | $\LaTeX$: first contact | ||
| 2 | 1/31 | What are numbers? | |
| 02/02 | A construction of relative integers | ||
| 02/04 | Rationals and irrationals | ||
| 3 | 2/07 | Geometric proofs | |
| 2/09 | Numbers and magnitudes in the time of Pythagoras | A Light Dance on the Dust of the Ages | |
| 2/11 | Commensurability | ||
| 4 | 2/14 | Introduction to Logic | |
| 2/16 | WRC presentation - Discussion of HW2 | ||
| 2/18 | Aristotelian logic: categorical propositions | Slides | |
| 5 | 2/21 | Aristotelian logic: syllogisms | |
| 2/23 | Truth tables | ||
| 2/25 | Contrapositives and Modus ponens | ||
| 6 | 2/28 | Achilles, the Tortoise and Riemann's Rearrangement Theorem | |
| 3/02 | Zeno's paradoxes | On Zeno's Paradoxes, by W. C. Salmon | |
| 3/04 | Zeno's paradoxes as a defense of Parmenides, cardinality | ||
| 7 | 3/07 | Quantum computing (guest lecture by D. Pelejo) | |
| 3/09 | More on cardinality, Cantor's diagonal argument | ||
| 3/11 | Timeline of final projects | ||
| 3/14 | 3/18 | Spring Break | |
| 8 | 3/21 | Library instruction session (with P. Showalter) | |
| 3/23 | Wrap-up on Zeno and Parmenides | Parmenides, by B. Russell | |
| 3/25 | Newton and Leibniz on time, space and motion, I | Newton's Scholium to the definitions | |
| 9 | 3/28 | Special collections visit (Swem, with M. Bryant) | |
| 3/30 | Newton and Leibniz on time, space and motion, II | Leibniz-Clarke correspondence | |
| 4/01 | Newton and Leibniz, wrap up | ||
| 10 | 4/04 | Equity, identity and ideology in Mathematics, I | with A. Moore (Virginia Tech) |
| 4/06 | Equity, identity and ideology in Mathematics, II | ||
| 4/08 | Equity, identity and ideology in Mathematics, III | ||
| 11 | 4/11 | Euler's characteristic and Brussels sprouts | |
| 4/13 | Equity, identity and ideology in Mathematics, IV | ||
| 4/15 | Equity, identity and ideology in Mathematics, V | ||
| 12 | 4/18 | Equity, identity and ideology in Mathematics, VI | |
| 4/20 | Equity, identity and ideology in Mathematics, VII | ||
| 4/22 | Equity, identity and ideology in Mathematics, VIII | ||
| 13 | 4/25 | Experiments with the Jones polynomial | |
| 4/27 | Equity, identity and ideology in Mathematics, IX | ||
| 4/29 | Equity, identity and ideology in Mathematics, X | ||
| 14 | 5/02 | No class meeting - Office hours | |
| 5/04 | Coxeter "vs." Bourbaki Mathematics and natural sciences | Mathematics and Empiricism, by John von Neumann | |
| 5/06 | Mathematics, Platonism and Cognition | Useful invention or absolute truth? |