The podcast episodes provided demonstrate the use of the dialectic method, which was central to the Socratic approach to philosophy employed by Plato and other ancient Greek thinkers.
In the episodes, we see the dialectic process modeled through discussions that employ logical divisions, distinctions, and the questioning of different viewpoints in order to arrive at definitions and understandings of key philosophical concepts.
For example, the episode on Sophist discusses the distinction between the philosopher and the sophist, while the episode on Philebus uses the dialectic to explore topics like pleasure, wisdom, and the nature of the soul.