Higher Education

Explains the curricula included in the proposed higher education of the future rulers: arithmetic, geometry, stereometry, astronomy, harmony, and dialectic. Once again addresses questions of what Plato thought about mathematical objects and how he talks about these in Book VII of the Republic. Considers debates about just how and why Plato assigned such an important role to mathematical studies in the training of the power of knowledge for the future rulers. Considers the relationship of “formal” as opposed to “empirical” study, particularly in Plato’s requirement of astronomy as the penultimate mathematical study. Discusses what we can discern about Plato’s conception of dialectic and how that fits as the final element in the “highest studies” that prepare the future rulers to begin to engage in political rule. Shows how in spite of these studies culminating in the highest cognitive achievements, they must be followed by fifteen years of political apprenticeship, and why only after this training can Plato’s best students become philosopher rulers.