The famous Greek philosopher known for his method of questioning was Socrates. His dialectical method, often seen in the form of dialogues, involved asking probing questions to stimulate critical thinking and illuminate ideas. This Socratic method encourages individuals to discover answers through their reasoning rather than providing them outright. Socrates' approach laid the groundwork for Western philosophy and education, emphasizing the importance of inquiry, ethics, and the pursuit of knowledge. His work primarily influenced his students, including Plato, and continues to be relevant in contemporary philosophical discussions and teaching methodologies.