PHIL 20128 Mathematics in Plato
This course explores the role that mathematics plays in Plato's philosophy with a special focus on the concept of incommensurability. We will be reading Platonic dialogues in which mathematical practice figures prominently and our goal will be to inquire into the ways that mathematical practice is similar to philosophical practice and the ways it can serve as a useful exemplar. We will also inquire into the ways that mathematics falls short of philosophy, which will give us a better sense of what the philosophical goals are. Finally, we will consider the challenges presented by mathematical incommensurability and we will investigate the ways that this concept is appropriated by Plato for philosophical purposes.
Texts will include: Meno, Republic 5-7, Timaeus, Theaetetus, Statesman. We will read some secondary literature on Plato (e.g. S. Menn, H. Benson, T. Echterling) and on the mathematics of the time (W. Knorr, J. Klein) but not every time. (B)
No mathematical background required, no prior familiarity with Plato required, no Greek required.