What best defines the protreptic method of philosophy?

The protreptic method of philosophy is closely associated with a conversational approach that encourages critical thinking and self-examination. This method often involves a form of persuasion or prompting that leads participants to reflect on their beliefs and the coherence of their arguments. By undermining the interlocutor's confidence in their original argument, the protreptic method effectively fosters an environment where individuals are compelled to scrutinize and potentially rethink their viewpoints.

In this context, challenging someone's confidence can lead to deeper philosophical inquiry, motivating individuals to explore alternative perspectives and obtain a better understanding of their beliefs. The aim is not merely to dismantle arguments but to promote a richer dialectical exchange that ultimately enhances philosophical understanding and personal growth.

The other options do not encapsulate the essence of the protreptic method as effectively. Listening for new facts, summarizing points, and responding appropriately may play roles in philosophical discussions but do not specifically denote the proactive, insightful approach characteristic of protreptic dialogue, which is focused on provoking thought and reflection through critical questioning.